NIMCET 2025 — Computer PYQ

Q: How do I solve NIMCET 2025 Computer questions?

Practice NIMCET 2025 Computer previous year questions with step-by-step solutions on Mathem Solvex. Each question includes a detailed explanation and video solution to help you master the concept quickly.

Q: What is the difficulty level of NIMCET Computer questions?

NIMCET Computer questions range from moderate to advanced difficulty. Consistent practice with official previous year papers and topic-wise drills on Mathem Solvex is the most effective preparation strategy.

Q: Are NIMCET previous year papers available for free?

Yes. Mathem Solvex provides free access to NIMCET previous year question papers and topic-wise PDFs. You can download them or attempt them as timed live mock tests directly on the platform.

Question

NIMCET 2025 — Computer PYQ

NIMCET | Computer | 2025

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

Choose the correct answer:

Explanation

1. Integer Part $(10101)_2$ :

Calculate from right to left starting from $2^0$ :

(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

2. Fractional Part $(.10101)_2$ :

Calculate from left to right starting from $2^{-1}$ :

(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

0.5 + 0.125 + 0.03125 = 0.65625

3. Combine both parts:

21 + 0.65625 = 21.65625

Final Equation

(10101.10101)_2 = (21)_{10} + \left( \frac{1}{2} + \frac{1}{8} + \frac{1}{32} \right)_{10}

(10101.10101)_2 = 21 + 0.5 + 0.125 + 0.03125

\mathbf{(10101.10101)_2 = (21.65625)_{10}}