NIMCET 2012 — Computer PYQ

The correct answer is (c) Both (a) and (b).

1. Hexadecimal to Binary Conversion:

Each hex digit corresponds to a 4-bit binary group:

• $2\to 0010$

• $F\to 1111$

• $A\to 1010$

• $0\to 0000$

• $C\to 1100$

Concatenating these gives:

This matches option (b).

2. Hexadecimal to Decimal Conversion:

Using the positional weight method:

Calculation:

• $2\times 65536=131072$

• $15\times 4096=61440$

• $10\times 256=2560$

• $0\times 16=0$

• $12\times 1=12$

Summing the values:

This matches option (a).

Since both (a) and (b) are correct, the answer is Both (a) and (b).