# Primitive Type u8 [−]

The 8-bit unsigned integer type.

See also the `std::u8` module.

## Methods

### `impl u8`

#### `const fn min_value() -> u8`

Returns the smallest value that can be represented by this integer type.

#### `const fn max_value() -> u8`

Returns the largest value that can be represented by this integer type.

#### `fn from_str_radix(src: &str, radix: u32) -> Result<u8, ParseIntError>`

Converts a string slice in a given base to an integer.

Leading and trailing whitespace represent an error.

# Arguments

- src - A string slice
- radix - The base to use. Must lie in the range [2 .. 36]

# Return value

`Err(ParseIntError)` if the string did not represent a valid number. Otherwise, `Ok(n)` where `n` is the integer represented by `src`.

#### `fn count_ones(self) -> u32`

Returns the number of ones in the binary representation of `self`.

# Examples

Basic usage:

fn main() { let n = 0b01001100u8; assert_eq!(n.count_ones(), 3); }

    let n = 0b01001100u8;

    assert_eq!(n.count_ones(), 3);

#### `fn count_zeros(self) -> u32`

Returns the number of zeros in the binary representation of `self`.

# Examples

Basic usage:

fn main() { let n = 0b01001100u8; assert_eq!(n.count_zeros(), 5); }

    let n = 0b01001100u8;

    assert_eq!(n.count_zeros(), 5);

#### `fn leading_zeros(self) -> u32`

Returns the number of leading zeros in the binary representation of `self`.

# Examples

Basic usage:

fn main() { let n = 0b0101000u16; assert_eq!(n.leading_zeros(), 10); }

    let n = 0b0101000u16;

    assert_eq!(n.leading_zeros(), 10);

#### `fn trailing_zeros(self) -> u32`

Returns the number of trailing zeros in the binary representation of `self`.

# Examples

Basic usage:

fn main() { let n = 0b0101000u16; assert_eq!(n.trailing_zeros(), 3); }

    let n = 0b0101000u16;

    assert_eq!(n.trailing_zeros(), 3);

#### `fn rotate_left(self, n: u32) -> u8`

Shifts the bits to the left by a specified amount, `n`, wrapping the truncated bits to the end of the resulting integer.

# Examples

Basic usage:

fn main() { let n = 0x0123456789ABCDEFu64; let m = 0x3456789ABCDEF012u64; assert_eq!(n.rotate_left(12), m); }

    let n = 0x0123456789ABCDEFu64;
    let m = 0x3456789ABCDEF012u64;

    assert_eq!(n.rotate_left(12), m);

#### `fn rotate_right(self, n: u32) -> u8`

Shifts the bits to the right by a specified amount, `n`, wrapping the truncated bits to the beginning of the resulting integer.

# Examples

Basic usage:

fn main() { let n = 0x0123456789ABCDEFu64; let m = 0xDEF0123456789ABCu64; assert_eq!(n.rotate_right(12), m); }

    let n = 0x0123456789ABCDEFu64;
    let m = 0xDEF0123456789ABCu64;

    assert_eq!(n.rotate_right(12), m);

#### `fn swap_bytes(self) -> u8`

Reverses the byte order of the integer.

# Examples

Basic usage:

fn main() { let n = 0x0123456789ABCDEFu64; let m = 0xEFCDAB8967452301u64; assert_eq!(n.swap_bytes(), m); }

    let n = 0x0123456789ABCDEFu64;
    let m = 0xEFCDAB8967452301u64;

    assert_eq!(n.swap_bytes(), m);

#### `fn from_be(x: u8) -> u8`

Converts an integer from big endian to the target's endianness.

On big endian this is a no-op. On little endian the bytes are swapped.

# Examples

Basic usage:

fn main() { let n = 0x0123456789ABCDEFu64; if cfg!(target_endian = "big") { assert_eq!(u64::from_be(n), n) } else { assert_eq!(u64::from_be(n), n.swap_bytes()) } }

    let n = 0x0123456789ABCDEFu64;

    if cfg!(target_endian = "big") {
        assert_eq!(u64::from_be(n), n)
    } else {
        assert_eq!(u64::from_be(n), n.swap_bytes())
    }

#### `fn from_le(x: u8) -> u8`

Converts an integer from little endian to the target's endianness.

On little endian this is a no-op. On big endian the bytes are swapped.

# Examples

Basic usage:

fn main() { let n = 0x0123456789ABCDEFu64; if cfg!(target_endian = "little") { assert_eq!(u64::from_le(n), n) } else { assert_eq!(u64::from_le(n), n.swap_bytes()) } }

    let n = 0x0123456789ABCDEFu64;

    if cfg!(target_endian = "little") {
        assert_eq!(u64::from_le(n), n)
    } else {
        assert_eq!(u64::from_le(n), n.swap_bytes())
    }

#### `fn to_be(self) -> u8`

Converts `self` to big endian from the target's endianness.

On big endian this is a no-op. On little endian the bytes are swapped.

# Examples

Basic usage:

fn main() { let n = 0x0123456789ABCDEFu64; if cfg!(target_endian = "big") { assert_eq!(n.to_be(), n) } else { assert_eq!(n.to_be(), n.swap_bytes()) } }

    let n = 0x0123456789ABCDEFu64;

    if cfg!(target_endian = "big") {
        assert_eq!(n.to_be(), n)
    } else {
        assert_eq!(n.to_be(), n.swap_bytes())
    }

#### `fn to_le(self) -> u8`

Converts `self` to little endian from the target's endianness.

On little endian this is a no-op. On big endian the bytes are swapped.

# Examples

Basic usage:

fn main() { let n = 0x0123456789ABCDEFu64; if cfg!(target_endian = "little") { assert_eq!(n.to_le(), n) } else { assert_eq!(n.to_le(), n.swap_bytes()) } }

    let n = 0x0123456789ABCDEFu64;

    if cfg!(target_endian = "little") {
        assert_eq!(n.to_le(), n)
    } else {
        assert_eq!(n.to_le(), n.swap_bytes())
    }

#### `fn checked_add(self, other: u8) -> Option<u8>`

Checked integer addition. Computes `self + other`, returning `None` if overflow occurred.

# Examples

Basic usage:

fn main() { assert_eq!(5u16.checked_add(65530), Some(65535)); assert_eq!(6u16.checked_add(65530), None); }

    assert_eq!(5u16.checked_add(65530), Some(65535));
    assert_eq!(6u16.checked_add(65530), None);

#### `fn checked_sub(self, other: u8) -> Option<u8>`

Checked integer subtraction. Computes `self - other`, returning `None` if underflow occurred.

# Examples

Basic usage:

fn main() { assert_eq!(1u8.checked_sub(1), Some(0)); assert_eq!(0u8.checked_sub(1), None); }

    assert_eq!(1u8.checked_sub(1), Some(0));
    assert_eq!(0u8.checked_sub(1), None);

#### `fn checked_mul(self, other: u8) -> Option<u8>`

Checked integer multiplication. Computes `self * other`, returning `None` if underflow or overflow occurred.

# Examples

Basic usage:

fn main() { assert_eq!(5u8.checked_mul(51), Some(255)); assert_eq!(5u8.checked_mul(52), None); }

    assert_eq!(5u8.checked_mul(51), Some(255));
    assert_eq!(5u8.checked_mul(52), None);

#### `fn checked_div(self, other: u8) -> Option<u8>`

Checked integer division. Computes `self / other`, returning `None` if `other == 0` or the operation results in underflow or overflow.

# Examples

Basic usage:

fn main() { assert_eq!(128u8.checked_div(2), Some(64)); assert_eq!(1u8.checked_div(0), None); }

    assert_eq!(128u8.checked_div(2), Some(64));
    assert_eq!(1u8.checked_div(0), None);

#### `fn checked_rem(self, other: u8) -> Option<u8>`

Checked integer remainder. Computes `self % other`, returning `None` if `other == 0` or the operation results in underflow or overflow.

# Examples

Basic usage:

fn main() { assert_eq!(5u32.checked_rem(2), Some(1)); assert_eq!(5u32.checked_rem(0), None); }

    assert_eq!(5u32.checked_rem(2), Some(1));
    assert_eq!(5u32.checked_rem(0), None);

#### `fn checked_neg(self) -> Option<u8>`

Checked negation. Computes `-self`, returning `None` unless `self == 0`.

Note that negating any positive integer will overflow.

# Examples

Basic usage:

fn main() { assert_eq!(0u32.checked_neg(), Some(0)); assert_eq!(1u32.checked_neg(), None); }

    assert_eq!(0u32.checked_neg(), Some(0));
    assert_eq!(1u32.checked_neg(), None);

#### `fn checked_shl(self, rhs: u32) -> Option<u8>`

Checked shift left. Computes `self << rhs`, returning `None` if `rhs` is larger than or equal to the number of bits in `self`.

# Examples

Basic usage:

fn main() { assert_eq!(0x10u32.checked_shl(4), Some(0x100)); assert_eq!(0x10u32.checked_shl(33), None); }

    assert_eq!(0x10u32.checked_shl(4), Some(0x100));
    assert_eq!(0x10u32.checked_shl(33), None);

#### `fn checked_shr(self, rhs: u32) -> Option<u8>`

Checked shift right. Computes `self >> rhs`, returning `None` if `rhs` is larger than or equal to the number of bits in `self`.

# Examples

Basic usage:

fn main() { assert_eq!(0x10u32.checked_shr(4), Some(0x1)); assert_eq!(0x10u32.checked_shr(33), None); }

    assert_eq!(0x10u32.checked_shr(4), Some(0x1));
    assert_eq!(0x10u32.checked_shr(33), None);

#### `fn saturating_add(self, other: u8) -> u8`

Saturating integer addition. Computes `self + other`, saturating at the numeric bounds instead of overflowing.

# Examples

Basic usage:

fn main() { assert_eq!(100u8.saturating_add(1), 101); assert_eq!(200u8.saturating_add(127), 255); }

    assert_eq!(100u8.saturating_add(1), 101);
    assert_eq!(200u8.saturating_add(127), 255);

#### `fn saturating_sub(self, other: u8) -> u8`

Saturating integer subtraction. Computes `self - other`, saturating at the numeric bounds instead of overflowing.

# Examples

Basic usage:

fn main() { assert_eq!(100u8.saturating_sub(27), 73); assert_eq!(13u8.saturating_sub(127), 0); }

    assert_eq!(100u8.saturating_sub(27), 73);
    assert_eq!(13u8.saturating_sub(127), 0);

#### `fn saturating_mul(self, other: u8) -> u8`

Saturating integer multiplication. Computes `self * other`, saturating at the numeric bounds instead of overflowing.

# Examples

Basic usage:

fn main() { use std::u32; assert_eq!(100u32.saturating_mul(127), 12700); assert_eq!((1u32 << 23).saturating_mul(1 << 23), u32::MAX); }

    use std::u32;

    assert_eq!(100u32.saturating_mul(127), 12700);
    assert_eq!((1u32 << 23).saturating_mul(1 << 23), u32::MAX);

#### `fn wrapping_add(self, rhs: u8) -> u8`

Wrapping (modular) addition. Computes `self + other`, wrapping around at the boundary of the type.

# Examples

Basic usage:

fn main() { assert_eq!(200u8.wrapping_add(55), 255); assert_eq!(200u8.wrapping_add(155), 99); }

    assert_eq!(200u8.wrapping_add(55), 255);
    assert_eq!(200u8.wrapping_add(155), 99);

#### `fn wrapping_sub(self, rhs: u8) -> u8`

Wrapping (modular) subtraction. Computes `self - other`, wrapping around at the boundary of the type.

# Examples

Basic usage:

fn main() { assert_eq!(100u8.wrapping_sub(100), 0); assert_eq!(100u8.wrapping_sub(155), 201); }

    assert_eq!(100u8.wrapping_sub(100), 0);
    assert_eq!(100u8.wrapping_sub(155), 201);

#### `fn wrapping_mul(self, rhs: u8) -> u8`

Wrapping (modular) multiplication. Computes `self * other`, wrapping around at the boundary of the type.

# Examples

Basic usage:

fn main() { assert_eq!(10u8.wrapping_mul(12), 120); assert_eq!(25u8.wrapping_mul(12), 44); }

    assert_eq!(10u8.wrapping_mul(12), 120);
    assert_eq!(25u8.wrapping_mul(12), 44);

#### `fn wrapping_div(self, rhs: u8) -> u8`

Wrapping (modular) division. Computes `self / other`. Wrapped division on unsigned types is just normal division. There's no way wrapping could ever happen. This function exists, so that all operations are accounted for in the wrapping operations.

# Examples

Basic usage:

fn main() { assert_eq!(100u8.wrapping_div(10), 10); }

    assert_eq!(100u8.wrapping_div(10), 10);

#### `fn wrapping_rem(self, rhs: u8) -> u8`

Wrapping (modular) remainder. Computes `self % other`. Wrapped remainder calculation on unsigned types is just the regular remainder calculation. There's no way wrapping could ever happen. This function exists, so that all operations are accounted for in the wrapping operations.

# Examples

Basic usage:

fn main() { assert_eq!(100i8.wrapping_rem(10), 0); }

    assert_eq!(100i8.wrapping_rem(10), 0);

#### `fn wrapping_neg(self) -> u8`

Wrapping (modular) negation. Computes `-self`, wrapping around at the boundary of the type.

Since unsigned types do not have negative equivalents all applications of this function will wrap (except for `-0`). For values smaller than the corresponding signed type's maximum the result is the same as casting the corresponding signed value. Any larger values are equivalent to `MAX + 1 - (val - MAX - 1)` where `MAX` is the corresponding signed type's maximum.

# Examples

Basic usage:

fn main() { assert_eq!(100u8.wrapping_neg(), 156); assert_eq!(0u8.wrapping_neg(), 0); assert_eq!(180u8.wrapping_neg(), 76); assert_eq!(180u8.wrapping_neg(), (127 + 1) - (180u8 - (127 + 1))); }

    assert_eq!(100u8.wrapping_neg(), 156);
    assert_eq!(0u8.wrapping_neg(), 0);
    assert_eq!(180u8.wrapping_neg(), 76);
    assert_eq!(180u8.wrapping_neg(), (127 + 1) - (180u8 - (127 + 1)));

#### `fn wrapping_shl(self, rhs: u32) -> u8`

Panic-free bitwise shift-left; yields `self << mask(rhs)`, where `mask` removes any high-order bits of `rhs` that would cause the shift to exceed the bitwidth of the type.

# Examples

Basic usage:

fn main() { assert_eq!(1u8.wrapping_shl(7), 128); assert_eq!(1u8.wrapping_shl(8), 1); }

    assert_eq!(1u8.wrapping_shl(7), 128);
    assert_eq!(1u8.wrapping_shl(8), 1);

#### `fn wrapping_shr(self, rhs: u32) -> u8`

Panic-free bitwise shift-right; yields `self >> mask(rhs)`, where `mask` removes any high-order bits of `rhs` that would cause the shift to exceed the bitwidth of the type.

# Examples

Basic usage:

fn main() { assert_eq!(128u8.wrapping_shr(7), 1); assert_eq!(128u8.wrapping_shr(8), 128); }

    assert_eq!(128u8.wrapping_shr(7), 1);
    assert_eq!(128u8.wrapping_shr(8), 128);

#### `fn overflowing_add(self, rhs: u8) -> (u8, bool)`

Calculates `self` + `rhs`

Returns a tuple of the addition along with a boolean indicating whether an arithmetic overflow would occur. If an overflow would have occurred then the wrapped value is returned.

# Examples

Basic usage

fn main() { use std::u32; assert_eq!(5u32.overflowing_add(2), (7, false)); assert_eq!(u32::MAX.overflowing_add(1), (0, true)); }

    use std::u32;

    assert_eq!(5u32.overflowing_add(2), (7, false));
    assert_eq!(u32::MAX.overflowing_add(1), (0, true));

#### `fn overflowing_sub(self, rhs: u8) -> (u8, bool)`

Calculates `self` - `rhs`

Returns a tuple of the subtraction along with a boolean indicating whether an arithmetic overflow would occur. If an overflow would have occurred then the wrapped value is returned.

# Examples

Basic usage

fn main() { use std::u32; assert_eq!(5u32.overflowing_sub(2), (3, false)); assert_eq!(0u32.overflowing_sub(1), (u32::MAX, true)); }

    use std::u32;

    assert_eq!(5u32.overflowing_sub(2), (3, false));
    assert_eq!(0u32.overflowing_sub(1), (u32::MAX, true));

#### `fn overflowing_mul(self, rhs: u8) -> (u8, bool)`

Calculates the multiplication of `self` and `rhs`.

Returns a tuple of the multiplication along with a boolean indicating whether an arithmetic overflow would occur. If an overflow would have occurred then the wrapped value is returned.

# Examples

Basic usage

fn main() { assert_eq!(5u32.overflowing_mul(2), (10, false)); assert_eq!(1_000_000_000u32.overflowing_mul(10), (1410065408, true)); }

    assert_eq!(5u32.overflowing_mul(2), (10, false));
    assert_eq!(1_000_000_000u32.overflowing_mul(10), (1410065408, true));

#### `fn overflowing_div(self, rhs: u8) -> (u8, bool)`

Calculates the divisor when `self` is divided by `rhs`.

Returns a tuple of the divisor along with a boolean indicating whether an arithmetic overflow would occur. Note that for unsigned integers overflow never occurs, so the second value is always `false`.

# Panics

This function will panic if `rhs` is 0.

# Examples

Basic usage

fn main() { assert_eq!(5u32.overflowing_div(2), (2, false)); }

    assert_eq!(5u32.overflowing_div(2), (2, false));

#### `fn overflowing_rem(self, rhs: u8) -> (u8, bool)`

Calculates the remainder when `self` is divided by `rhs`.

Returns a tuple of the remainder after dividing along with a boolean indicating whether an arithmetic overflow would occur. Note that for unsigned integers overflow never occurs, so the second value is always `false`.

# Panics

This function will panic if `rhs` is 0.

# Examples

Basic usage

fn main() { assert_eq!(5u32.overflowing_rem(2), (1, false)); }

    assert_eq!(5u32.overflowing_rem(2), (1, false));

#### `fn overflowing_neg(self) -> (u8, bool)`

Negates self in an overflowing fashion.

Returns `!self + 1` using wrapping operations to return the value that represents the negation of this unsigned value. Note that for positive unsigned values overflow always occurs, but negating 0 does not overflow.

# Examples

Basic usage

fn main() { assert_eq!(0u32.overflowing_neg(), (0, false)); assert_eq!(2u32.overflowing_neg(), (-2i32 as u32, true)); }

    assert_eq!(0u32.overflowing_neg(), (0, false));
    assert_eq!(2u32.overflowing_neg(), (-2i32 as u32, true));

#### `fn overflowing_shl(self, rhs: u32) -> (u8, bool)`

Shifts self left by `rhs` bits.

Returns a tuple of the shifted version of self along with a boolean indicating whether the shift value was larger than or equal to the number of bits. If the shift value is too large, then value is masked (N-1) where N is the number of bits, and this value is then used to perform the shift.

# Examples

Basic usage

fn main() { assert_eq!(0x10u32.overflowing_shl(4), (0x100, false)); assert_eq!(0x10u32.overflowing_shl(36), (0x100, true)); }

    assert_eq!(0x10u32.overflowing_shl(4), (0x100, false));
    assert_eq!(0x10u32.overflowing_shl(36), (0x100, true));

#### `fn overflowing_shr(self, rhs: u32) -> (u8, bool)`

Shifts self right by `rhs` bits.

Returns a tuple of the shifted version of self along with a boolean indicating whether the shift value was larger than or equal to the number of bits. If the shift value is too large, then value is masked (N-1) where N is the number of bits, and this value is then used to perform the shift.

# Examples

Basic usage

fn main() { assert_eq!(0x10u32.overflowing_shr(4), (0x1, false)); assert_eq!(0x10u32.overflowing_shr(36), (0x1, true)); }

    assert_eq!(0x10u32.overflowing_shr(4), (0x1, false));
    assert_eq!(0x10u32.overflowing_shr(36), (0x1, true));

#### `fn pow(self, exp: u32) -> u8`

Raises self to the power of `exp`, using exponentiation by squaring.

# Examples

Basic usage:

fn main() { assert_eq!(2u32.pow(4), 16); }

    assert_eq!(2u32.pow(4), 16);

#### `fn is_power_of_two(self) -> bool`

Returns `true` if and only if `self == 2^k` for some `k`.

# Examples

Basic usage:

fn main() { assert!(16u8.is_power_of_two()); assert!(!10u8.is_power_of_two()); }

    assert!(16u8.is_power_of_two());
    assert!(!10u8.is_power_of_two());

#### `fn next_power_of_two(self) -> u8`

Returns the smallest power of two greater than or equal to `self`. Unspecified behavior on overflow.

# Examples

Basic usage:

fn main() { assert_eq!(2u8.next_power_of_two(), 2); assert_eq!(3u8.next_power_of_two(), 4); }

    assert_eq!(2u8.next_power_of_two(), 2);
    assert_eq!(3u8.next_power_of_two(), 4);

#### `fn checked_next_power_of_two(self) -> Option<u8>`

Returns the smallest power of two greater than or equal to `n`. If the next power of two is greater than the type's maximum value, `None` is returned, otherwise the power of two is wrapped in `Some`.

# Examples

Basic usage:

fn main() { assert_eq!(2u8.checked_next_power_of_two(), Some(2)); assert_eq!(3u8.checked_next_power_of_two(), Some(4)); assert_eq!(200u8.checked_next_power_of_two(), None); }

    assert_eq!(2u8.checked_next_power_of_two(), Some(2));
    assert_eq!(3u8.checked_next_power_of_two(), Some(4));
    assert_eq!(200u8.checked_next_power_of_two(), None);

## Trait Implementations

### `impl OverflowingOps for u8`

#### `fn overflowing_add(self, rhs: u8) -> (u8, bool)`

#### `fn overflowing_sub(self, rhs: u8) -> (u8, bool)`

#### `fn overflowing_mul(self, rhs: u8) -> (u8, bool)`

#### `fn overflowing_div(self, rhs: u8) -> (u8, bool)`

#### `fn overflowing_rem(self, rhs: u8) -> (u8, bool)`

#### `fn overflowing_shl(self, rhs: u32) -> (u8, bool)`

#### `fn overflowing_shr(self, rhs: u32) -> (u8, bool)`

#### `fn overflowing_neg(self) -> (u8, bool)`

### `impl FullOps for u8`

#### `fn full_add(self, other: u8, carry: bool) -> (bool, u8)`

#### `fn full_mul(self, other: u8, carry: u8) -> (u8, u8)`

#### `fn full_mul_add(self, other: u8, other2: u8, carry: u8) -> (u8, u8)`

#### `fn full_div_rem(self, other: u8, borrow: u8) -> (u8, u8)`

### `impl Zero for u8`

#### `fn zero() -> u8`

### `impl One for u8`

#### `fn one() -> u8`

### `impl FromStr for u8`

#### `type Err = ParseIntError`

#### `fn from_str(src: &str) -> Result<u8, ParseIntError>`

### `impl Zeroable for u8`

### `impl Add<u8> for u8`

#### `type Output = u8`

#### `fn add(self, other: u8) -> u8`

### `impl<'a> Add<u8> for &'a u8`

#### `type Output = u8::Output`

#### `fn add(self, other: u8) -> u8::Output`

### `impl<'a> Add<&'a u8> for u8`

#### `type Output = u8::Output`

#### `fn add(self, other: &'a u8) -> u8::Output`

### `impl<'a, 'b> Add<&'a u8> for &'b u8`

#### `type Output = u8::Output`

#### `fn add(self, other: &'a u8) -> u8::Output`

### `impl Sub<u8> for u8`

#### `type Output = u8`

#### `fn sub(self, other: u8) -> u8`

### `impl<'a> Sub<u8> for &'a u8`

#### `type Output = u8::Output`

#### `fn sub(self, other: u8) -> u8::Output`

### `impl<'a> Sub<&'a u8> for u8`

#### `type Output = u8::Output`

#### `fn sub(self, other: &'a u8) -> u8::Output`

### `impl<'a, 'b> Sub<&'a u8> for &'b u8`

#### `type Output = u8::Output`

#### `fn sub(self, other: &'a u8) -> u8::Output`

### `impl Mul<u8> for u8`

#### `type Output = u8`

#### `fn mul(self, other: u8) -> u8`

### `impl<'a> Mul<u8> for &'a u8`

#### `type Output = u8::Output`

#### `fn mul(self, other: u8) -> u8::Output`

### `impl<'a> Mul<&'a u8> for u8`

#### `type Output = u8::Output`

#### `fn mul(self, other: &'a u8) -> u8::Output`

### `impl<'a, 'b> Mul<&'a u8> for &'b u8`

#### `type Output = u8::Output`

#### `fn mul(self, other: &'a u8) -> u8::Output`

### `impl Div<u8> for u8`

This operation rounds towards zero, truncating any fractional part of the exact result.

#### `type Output = u8`

#### `fn div(self, other: u8) -> u8`

### `impl<'a> Div<u8> for &'a u8`

#### `type Output = u8::Output`

#### `fn div(self, other: u8) -> u8::Output`

### `impl<'a> Div<&'a u8> for u8`

#### `type Output = u8::Output`

#### `fn div(self, other: &'a u8) -> u8::Output`

### `impl<'a, 'b> Div<&'a u8> for &'b u8`

#### `type Output = u8::Output`

#### `fn div(self, other: &'a u8) -> u8::Output`

### `impl Rem<u8> for u8`

This operation satisfies `n % d == n - (n / d) * d`. The result has the same sign as the left operand.

#### `type Output = u8`

#### `fn rem(self, other: u8) -> u8`

### `impl<'a> Rem<u8> for &'a u8`

#### `type Output = u8::Output`

#### `fn rem(self, other: u8) -> u8::Output`

### `impl<'a> Rem<&'a u8> for u8`

#### `type Output = u8::Output`

#### `fn rem(self, other: &'a u8) -> u8::Output`

### `impl<'a, 'b> Rem<&'a u8> for &'b u8`

#### `type Output = u8::Output`

#### `fn rem(self, other: &'a u8) -> u8::Output`

### `impl Not for u8`

#### `type Output = u8`

#### `fn not(self) -> u8`

### `impl<'a> Not for &'a u8`

#### `type Output = u8::Output`

#### `fn not(self) -> u8::Output`

### `impl BitAnd<u8> for u8`

#### `type Output = u8`

#### `fn bitand(self, rhs: u8) -> u8`

### `impl<'a> BitAnd<u8> for &'a u8`

#### `type Output = u8::Output`

#### `fn bitand(self, other: u8) -> u8::Output`

### `impl<'a> BitAnd<&'a u8> for u8`

#### `type Output = u8::Output`

#### `fn bitand(self, other: &'a u8) -> u8::Output`

### `impl<'a, 'b> BitAnd<&'a u8> for &'b u8`

#### `type Output = u8::Output`

#### `fn bitand(self, other: &'a u8) -> u8::Output`

### `impl BitOr<u8> for u8`

#### `type Output = u8`

#### `fn bitor(self, rhs: u8) -> u8`

### `impl<'a> BitOr<u8> for &'a u8`

#### `type Output = u8::Output`

#### `fn bitor(self, other: u8) -> u8::Output`

### `impl<'a> BitOr<&'a u8> for u8`

#### `type Output = u8::Output`

#### `fn bitor(self, other: &'a u8) -> u8::Output`

### `impl<'a, 'b> BitOr<&'a u8> for &'b u8`

#### `type Output = u8::Output`

#### `fn bitor(self, other: &'a u8) -> u8::Output`

### `impl BitXor<u8> for u8`

#### `type Output = u8`

#### `fn bitxor(self, other: u8) -> u8`

### `impl<'a> BitXor<u8> for &'a u8`

#### `type Output = u8::Output`

#### `fn bitxor(self, other: u8) -> u8::Output`

### `impl<'a> BitXor<&'a u8> for u8`

#### `type Output = u8::Output`

#### `fn bitxor(self, other: &'a u8) -> u8::Output`

### `impl<'a, 'b> BitXor<&'a u8> for &'b u8`

#### `type Output = u8::Output`

#### `fn bitxor(self, other: &'a u8) -> u8::Output`

### `impl Shl<u8> for u8`

#### `type Output = u8`

#### `fn shl(self, other: u8) -> u8`

### `impl<'a> Shl<u8> for &'a u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: u8) -> u8::Output`

### `impl<'a> Shl<&'a u8> for u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: &'a u8) -> u8::Output`

### `impl<'a, 'b> Shl<&'a u8> for &'b u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: &'a u8) -> u8::Output`

### `impl Shl<u16> for u8`

#### `type Output = u8`

#### `fn shl(self, other: u16) -> u8`

### `impl<'a> Shl<u16> for &'a u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: u16) -> u8::Output`

### `impl<'a> Shl<&'a u16> for u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: &'a u16) -> u8::Output`

### `impl<'a, 'b> Shl<&'a u16> for &'b u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: &'a u16) -> u8::Output`

### `impl Shl<u32> for u8`

#### `type Output = u8`

#### `fn shl(self, other: u32) -> u8`

### `impl<'a> Shl<u32> for &'a u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: u32) -> u8::Output`

### `impl<'a> Shl<&'a u32> for u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: &'a u32) -> u8::Output`

### `impl<'a, 'b> Shl<&'a u32> for &'b u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: &'a u32) -> u8::Output`

### `impl Shl<u64> for u8`

#### `type Output = u8`

#### `fn shl(self, other: u64) -> u8`

### `impl<'a> Shl<u64> for &'a u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: u64) -> u8::Output`

### `impl<'a> Shl<&'a u64> for u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: &'a u64) -> u8::Output`

### `impl<'a, 'b> Shl<&'a u64> for &'b u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: &'a u64) -> u8::Output`

### `impl Shl<usize> for u8`

#### `type Output = u8`

#### `fn shl(self, other: usize) -> u8`

### `impl<'a> Shl<usize> for &'a u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: usize) -> u8::Output`

### `impl<'a> Shl<&'a usize> for u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: &'a usize) -> u8::Output`

### `impl<'a, 'b> Shl<&'a usize> for &'b u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: &'a usize) -> u8::Output`

### `impl Shl<i8> for u8`

#### `type Output = u8`

#### `fn shl(self, other: i8) -> u8`

### `impl<'a> Shl<i8> for &'a u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: i8) -> u8::Output`

### `impl<'a> Shl<&'a i8> for u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: &'a i8) -> u8::Output`

### `impl<'a, 'b> Shl<&'a i8> for &'b u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: &'a i8) -> u8::Output`

### `impl Shl<i16> for u8`

#### `type Output = u8`

#### `fn shl(self, other: i16) -> u8`

### `impl<'a> Shl<i16> for &'a u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: i16) -> u8::Output`

### `impl<'a> Shl<&'a i16> for u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: &'a i16) -> u8::Output`

### `impl<'a, 'b> Shl<&'a i16> for &'b u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: &'a i16) -> u8::Output`

### `impl Shl<i32> for u8`

#### `type Output = u8`

#### `fn shl(self, other: i32) -> u8`

### `impl<'a> Shl<i32> for &'a u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: i32) -> u8::Output`

### `impl<'a> Shl<&'a i32> for u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: &'a i32) -> u8::Output`

### `impl<'a, 'b> Shl<&'a i32> for &'b u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: &'a i32) -> u8::Output`

### `impl Shl<i64> for u8`

#### `type Output = u8`

#### `fn shl(self, other: i64) -> u8`

### `impl<'a> Shl<i64> for &'a u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: i64) -> u8::Output`

### `impl<'a> Shl<&'a i64> for u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: &'a i64) -> u8::Output`

### `impl<'a, 'b> Shl<&'a i64> for &'b u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: &'a i64) -> u8::Output`

### `impl Shl<isize> for u8`

#### `type Output = u8`

#### `fn shl(self, other: isize) -> u8`

### `impl<'a> Shl<isize> for &'a u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: isize) -> u8::Output`

### `impl<'a> Shl<&'a isize> for u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: &'a isize) -> u8::Output`

### `impl<'a, 'b> Shl<&'a isize> for &'b u8`

#### `type Output = u8::Output`

#### `fn shl(self, other: &'a isize) -> u8::Output`

### `impl Shr<u8> for u8`

#### `type Output = u8`

#### `fn shr(self, other: u8) -> u8`

### `impl<'a> Shr<u8> for &'a u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: u8) -> u8::Output`

### `impl<'a> Shr<&'a u8> for u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: &'a u8) -> u8::Output`

### `impl<'a, 'b> Shr<&'a u8> for &'b u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: &'a u8) -> u8::Output`

### `impl Shr<u16> for u8`

#### `type Output = u8`

#### `fn shr(self, other: u16) -> u8`

### `impl<'a> Shr<u16> for &'a u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: u16) -> u8::Output`

### `impl<'a> Shr<&'a u16> for u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: &'a u16) -> u8::Output`

### `impl<'a, 'b> Shr<&'a u16> for &'b u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: &'a u16) -> u8::Output`

### `impl Shr<u32> for u8`

#### `type Output = u8`

#### `fn shr(self, other: u32) -> u8`

### `impl<'a> Shr<u32> for &'a u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: u32) -> u8::Output`

### `impl<'a> Shr<&'a u32> for u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: &'a u32) -> u8::Output`

### `impl<'a, 'b> Shr<&'a u32> for &'b u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: &'a u32) -> u8::Output`

### `impl Shr<u64> for u8`

#### `type Output = u8`

#### `fn shr(self, other: u64) -> u8`

### `impl<'a> Shr<u64> for &'a u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: u64) -> u8::Output`

### `impl<'a> Shr<&'a u64> for u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: &'a u64) -> u8::Output`

### `impl<'a, 'b> Shr<&'a u64> for &'b u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: &'a u64) -> u8::Output`

### `impl Shr<usize> for u8`

#### `type Output = u8`

#### `fn shr(self, other: usize) -> u8`

### `impl<'a> Shr<usize> for &'a u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: usize) -> u8::Output`

### `impl<'a> Shr<&'a usize> for u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: &'a usize) -> u8::Output`

### `impl<'a, 'b> Shr<&'a usize> for &'b u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: &'a usize) -> u8::Output`

### `impl Shr<i8> for u8`

#### `type Output = u8`

#### `fn shr(self, other: i8) -> u8`

### `impl<'a> Shr<i8> for &'a u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: i8) -> u8::Output`

### `impl<'a> Shr<&'a i8> for u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: &'a i8) -> u8::Output`

### `impl<'a, 'b> Shr<&'a i8> for &'b u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: &'a i8) -> u8::Output`

### `impl Shr<i16> for u8`

#### `type Output = u8`

#### `fn shr(self, other: i16) -> u8`

### `impl<'a> Shr<i16> for &'a u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: i16) -> u8::Output`

### `impl<'a> Shr<&'a i16> for u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: &'a i16) -> u8::Output`

### `impl<'a, 'b> Shr<&'a i16> for &'b u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: &'a i16) -> u8::Output`

### `impl Shr<i32> for u8`

#### `type Output = u8`

#### `fn shr(self, other: i32) -> u8`

### `impl<'a> Shr<i32> for &'a u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: i32) -> u8::Output`

### `impl<'a> Shr<&'a i32> for u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: &'a i32) -> u8::Output`

### `impl<'a, 'b> Shr<&'a i32> for &'b u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: &'a i32) -> u8::Output`

### `impl Shr<i64> for u8`

#### `type Output = u8`

#### `fn shr(self, other: i64) -> u8`

### `impl<'a> Shr<i64> for &'a u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: i64) -> u8::Output`

### `impl<'a> Shr<&'a i64> for u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: &'a i64) -> u8::Output`

### `impl<'a, 'b> Shr<&'a i64> for &'b u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: &'a i64) -> u8::Output`

### `impl Shr<isize> for u8`

#### `type Output = u8`

#### `fn shr(self, other: isize) -> u8`

### `impl<'a> Shr<isize> for &'a u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: isize) -> u8::Output`

### `impl<'a> Shr<&'a isize> for u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: &'a isize) -> u8::Output`

### `impl<'a, 'b> Shr<&'a isize> for &'b u8`

#### `type Output = u8::Output`

#### `fn shr(self, other: &'a isize) -> u8::Output`

### `impl AddAssign<u8> for u8`

#### `fn add_assign(&mut self, other: u8)`

### `impl SubAssign<u8> for u8`

#### `fn sub_assign(&mut self, other: u8)`

### `impl MulAssign<u8> for u8`

#### `fn mul_assign(&mut self, other: u8)`

### `impl DivAssign<u8> for u8`

#### `fn div_assign(&mut self, other: u8)`

### `impl RemAssign<u8> for u8`

#### `fn rem_assign(&mut self, other: u8)`

### `impl BitAndAssign<u8> for u8`

#### `fn bitand_assign(&mut self, other: u8)`

### `impl BitOrAssign<u8> for u8`

#### `fn bitor_assign(&mut self, other: u8)`

### `impl BitXorAssign<u8> for u8`

#### `fn bitxor_assign(&mut self, other: u8)`

### `impl ShlAssign<u8> for u8`

#### `fn shl_assign(&mut self, other: u8)`

### `impl ShlAssign<u16> for u8`

#### `fn shl_assign(&mut self, other: u16)`

### `impl ShlAssign<u32> for u8`

#### `fn shl_assign(&mut self, other: u32)`

### `impl ShlAssign<u64> for u8`

#### `fn shl_assign(&mut self, other: u64)`

### `impl ShlAssign<usize> for u8`

#### `fn shl_assign(&mut self, other: usize)`

### `impl ShlAssign<i8> for u8`

#### `fn shl_assign(&mut self, other: i8)`

### `impl ShlAssign<i16> for u8`

#### `fn shl_assign(&mut self, other: i16)`

### `impl ShlAssign<i32> for u8`

#### `fn shl_assign(&mut self, other: i32)`

### `impl ShlAssign<i64> for u8`

#### `fn shl_assign(&mut self, other: i64)`

### `impl ShlAssign<isize> for u8`

#### `fn shl_assign(&mut self, other: isize)`

### `impl ShrAssign<u8> for u8`

#### `fn shr_assign(&mut self, other: u8)`

### `impl ShrAssign<u16> for u8`

#### `fn shr_assign(&mut self, other: u16)`

### `impl ShrAssign<u32> for u8`

#### `fn shr_assign(&mut self, other: u32)`

### `impl ShrAssign<u64> for u8`

#### `fn shr_assign(&mut self, other: u64)`

### `impl ShrAssign<usize> for u8`

#### `fn shr_assign(&mut self, other: usize)`

### `impl ShrAssign<i8> for u8`

#### `fn shr_assign(&mut self, other: i8)`

### `impl ShrAssign<i16> for u8`

#### `fn shr_assign(&mut self, other: i16)`

### `impl ShrAssign<i32> for u8`

#### `fn shr_assign(&mut self, other: i32)`

### `impl ShrAssign<i64> for u8`

#### `fn shr_assign(&mut self, other: i64)`

### `impl ShrAssign<isize> for u8`

#### `fn shr_assign(&mut self, other: isize)`

### `impl PartialEq<u8> for u8`

#### `fn eq(&self, other: &u8) -> bool`

#### `fn ne(&self, other: &u8) -> bool`

### `impl Eq for u8`

### `impl PartialOrd<u8> for u8`

#### `fn partial_cmp(&self, other: &u8) -> Option<Ordering>`

#### `fn lt(&self, other: &u8) -> bool`

#### `fn le(&self, other: &u8) -> bool`

#### `fn ge(&self, other: &u8) -> bool`

#### `fn gt(&self, other: &u8) -> bool`

### `impl Ord for u8`

#### `fn cmp(&self, other: &u8) -> Ordering`

### `impl Clone for u8`

#### `fn clone(&self) -> u8`

#### `fn clone_from(&mut self, source: &Self)`

### `impl Default for u8`

#### `fn default() -> u8`

### `impl Step for u8`

#### `fn step(&self, by: &u8) -> Option<u8>`

#### `fn steps_between(start: &u8, end: &u8, by: &u8) -> Option<usize>`

### `impl Hash for u8`

#### `fn hash<H>(&self, state: &mut H) where H: Hasher`

#### `fn hash_slice<H>(data: &[u8], state: &mut H) where H: Hasher`

### `impl Binary for u8`

#### `fn fmt(&self, f: &mut Formatter) -> Result<(), Error>`

### `impl Octal for u8`

#### `fn fmt(&self, f: &mut Formatter) -> Result<(), Error>`

### `impl LowerHex for u8`

#### `fn fmt(&self, f: &mut Formatter) -> Result<(), Error>`

### `impl UpperHex for u8`

#### `fn fmt(&self, f: &mut Formatter) -> Result<(), Error>`

### `impl Debug for u8`

#### `fn fmt(&self, f: &mut Formatter) -> Result<(), Error>`

### `impl Display for u8`

#### `fn fmt(&self, f: &mut Formatter) -> Result<(), Error>`

### `impl AsciiExt for u8`

#### `type Owned = u8`

#### `fn is_ascii(&self) -> bool`

#### `fn to_ascii_uppercase(&self) -> u8`

#### `fn to_ascii_lowercase(&self) -> u8`

#### `fn eq_ignore_ascii_case(&self, other: &u8) -> bool`

#### `fn make_ascii_uppercase(&mut self)`

#### `fn make_ascii_lowercase(&mut self)`

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