# Rust - right shift operator

The Bitwise right shift operator (>>) takes the two numbers and right shift the bits of first operand by number of place specified by second operand. For example: for right shifting the bits of x by y places, the expression (x>>y) can be used. It is equivalent to dividing x by 2y.

The example below describes how right shift operator works:

1000 >> 2 returns 250

(In Binary)
1000         ->    1111101000
>> 2                     |  right shift the bits
-----                    V  by 2 places
250         <-      11111010
(In Binary)

The code of using right shift operator (>>) is given below:

fn main() {
let x = 1000;

//right shift operation
let z = x >> 2;

//Displaying the result
println!("z = {}", z);
}

The output of the above code will be:

z = 250

### Example: Find largest power of 2 less than or equal to given number

Consider an integer 1000. In the bit-wise format, it can be written as 1111101000. However, all bits are not written here. A complete representation will be 32 bit representation as given below:

00000000000000000000001111101000

Performing n = n | (n>>i) operation, where i = 1, 2, 4, 8, 16 will change all right side bit to 1. When applied on 1000, the result in 32 bit representation is given below:

00000000000000000000001111111111

Adding one to this result and then right shifting the result by one place will give largest power of 2 less than or equal to 1000.

00000000000000000000001000000000

The below code will calculate the largest power of 2 less than or equal to given number.

fn max_power_of_two(n: i32) -> i32{
let mut n = n;
//changing all right side bits to 1.
n = n | (n>>1);
n = n | (n>>2);
n = n | (n>>4);
n = n | (n>>8);
n = n | (n>>16);

//adding 1 to n makes smallest power
//of 2 greater than given number
n = n + 1;

//right shift by one position makes
//largest power of 2 less than or
//equal to given number
n = n >> 1;

return n;
}

fn main() {
println!("max_power_of_two(100) = {}", max_power_of_two(100));
println!("max_power_of_two(500) =  {}", max_power_of_two(500));
println!("max_power_of_two(1000) = {}", max_power_of_two(1000));
}

The above code will give the following output:

max_power_of_two(100) = 64
max_power_of_two(500) = 256
max_power_of_two(1000) = 512

❮ Rust - Operators

5