# Ruby - 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:

```x = 1000

#right shift operation
z = x >> 2

#Displaying the result
puts "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.

```def MaxPowerOfTwo(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
end

puts "MaxPowerOfTwo(100) = #{MaxPowerOfTwo(100)}"
puts "MaxPowerOfTwo(500) = #{MaxPowerOfTwo(500)}"
puts "MaxPowerOfTwo(1000) = #{MaxPowerOfTwo(1000)}"
```

The above code will give the following output:

```MaxPowerOfTwo(100) = 64
MaxPowerOfTwo(500) = 256
MaxPowerOfTwo(1000) = 512
```

❮ Ruby - Operators

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