NIMCET 2021 — Computer PYQ

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Question

NIMCET 2021 — Computer PYQ

NIMCET | Computer | 2021

The binary multiplication 00*11 will give

Choose the correct answer:

Explanation

Binary Multiplication Rules

$0 \times 0 = 0$
$0 \times 1 = 0$
$1 \times 0 = 0$
$1 \times 1 = 1$

Solution

Since any number multiplied by zero is zero, the multiplication of $00$ and $11$ is straightforward:

Multiply by the first digit (LSB): $00 \times 1 = 00$
Multiply by the second digit (MSB): $00 \times 1 = 00$ (shifted one position to the left)
Add the results: $00 + 000 = 000$

In equation form:

(00)_2 \times (11)_2 = (00)_2

In decimal terms, this is equivalent to:

0 \times 3 = 0

Final Result

The final answer in binary is:

\mathbf{00}