IGDTUW 2026 — Computer PYQ

The correct option is (a) 10000.

Detailed Explanation:

Binary addition follows four basic rules for adding single bits:

• $$0+0=0$$

• $$0+1=1$$

• $$1+0=1$$

• $$1+1=0\text{(with a carry over of 1 to the next column)}$$

• $$1+1+1=1\text{(with a carry over of 1 to the next column)}$$

Let's align the numbers vertically and add them from right to left (least significant bit to most significant bit), tracking the carries:

Plaintext

  Carry:  1 1 1 1
          1 1 0 1   (which is 13 in decimal)
        + 0 0 1 1   (which is 3 in decimal)
        ---------
        1 0 0 0 0   (which is 16 in decimal)

Step-by-step column addition:

1. First column (Rightmost): $1+1=0$ with a carry of $1$.

2. Second column: $0+1+1\text{ (carry)}=0$ with a carry of $1$.

3. Third column: $1+0+1\text{ (carry)}=0$ with a carry of $1$.

4. Fourth column: $1+0+1\text{ (carry)}=0$ with a carry of $1$.

5. Fifth column (Leftmost): Bring down the remaining final carry of $1$.

The result of the binary addition is

$$10000$$

, matching option (a).