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NIMCET 2025 Paper

Section: Computer Awareness

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Question : 92 of 120

Marks: +1, -0

What is the equivalent decimal value of the unsigned binary number 10101.10101?

51.125
25.375
125.25
21.65625

Solution:

We separate the integer and fractional parts.

Integer part:

10101_2=1 \times 2^4+0 \times 2^3+1 \times 2^2+0 \times 2^1+1 \times 2^0 =16+0+4+0+1=21

Fractional part:

.10101_2=1 \times 2^{-1}+0 \times 2^{-2}+1 \times 2^{-3}+0 \times 2^{-4}+1 \times 2^{-5}

=0.5+0+0.125+0+0.03125

=0.65625

Therefore,

10101.10101_2=21+0.65625=21.65625

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