NIMCET 2021 — Computer PYQ

Logic & Calculation:

In binary arithmetic, multiplication works exactly the same way as decimal multiplication. Multiplying any binary value by zero results in zero.

Let's break down the rules of binary multiplication:

• $0\times 0=0$

• $0\times 1=0$

• $1\times 0=0$

• $1\times 1=1$

Applying these rules step-by-step or by direct property:

Method 1: Decimal Conversion

• The binary number $(00{)}_2$ is equal to $0$ in decimal.

• The binary number $(11{)}_2$ is equal to $3$ in decimal.

• Multiplying them together in decimal:

  $$0\times 3=0$$

• Converting the decimal result $0$ back to a 2-bit binary representation gives $(00{)}_2$.