IGDTUW 2026 — Computer PYQ

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Question

IGDTUW 2026 — Computer PYQ

IGDTUW | Computer | 2026

What is the output of the following C++ code?

#include <iostream>

using namespace std;

int main() {

int x = 20;

cout << (x >> 2);

return 0;

}

Choose the correct answer:

Explanation

The correct option is (c) 5.

Step-by-Step Explanation:

Understanding the Right Shift Operator (>>):
The >> operator is the bitwise right shift operator. It shifts the bits of the left operand to the right by the number of positions specified by the right operand.
Mathematical Shortcut:
Shifting an integer right by $n$ positions is mathematically equivalent to integer division by $2^{n}$ :
$Result = ⌊ \frac{x}{2 ^{n}} ⌋$
Calculation:
Given $x = 20$ and $n = 2$ :
$Result = ⌊ \frac{20}{2 ^{2}} ⌋ = ⌊ \frac{20}{4} ⌋ = 5$
Bitwise Representation:
- The 8-bit binary representation of $20$ is:
  $0001010 0_{2}$
- Shifting the bits to the right by $2$ positions drops the lowest two bits and fills the leftmost bits with zeros:
  $0000010 1_{2}$
- Converting the resulting binary number $0000010 1_{2}$ back to decimal yields:
  $(1 \times 2^{2}) + (0 \times 2^{1}) + (1 \times 2^{0}) = 4 + 0 + 1 = 5$

Therefore, the program outputs:

$5$