Which of the following binary numbers is equivalent to decimal nu… - Vidyadip

MCQ

Which of the following binary numbers is equivalent to decimal number 24 ?

A
111111
✓
11000
C
11001
D
1101111

✓

Answer

Correct option: B.

11000

(b) 11000
Explanation: $1101111=1 \times 2^{6}+1 \times 2^{5}+0+1 \times 2^{3}+1 \times 2^{2}+1 \times 2^{1}+1 \times 2^{0}=111$
$11000=1 \times 2^{4}+1 \times 2^{3}+0+0+0=16+8=24$
$111111=1 \times 2^{5}+1 \times 2^{4}+1 \times 2^{3}+1 \times 2^{2}+1 \times 2^{1}+1 \times 2^{0}=63$
$11001=1 \times 2^{4}+1 \times 2^{3}+0+0+1 \times 2^{0}=16+4+1=21$

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