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Q131 (CISF/2020) Science & Technology › ICT, AI, Cybersecurity & Emerging Tech

Find the decimal equivalent of the binary number 110.101.

Result
Your answer:  ·  Correct: B

Explanation

To convert the binary number 110.101 to its decimal equivalent, we sum the values of each bit based on its position relative to the binary point.

1. Integer Part (110):
(1 × 22) + (1 × 21) + (0 × 20) = 4 + 2 + 0 = 6

2. Fractional Part (.101):
(1 × 2-1) + (0 × 2-2) + (1 × 2-3) = (1 × 0.5) + (0 × 0.25) + (1 × 0.125) = 0.5 + 0 + 0.125 = 0.625

Combining the two parts: 6 + 0.625 = 6.625.

Thus, the decimal equivalent of the binary number 110.101 is 6.625.

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