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Q131
(CISF/2020)
Science & Technology › ICT, AI, Cybersecurity & Emerging Tech
Find the decimal equivalent of the binary number 110.101.
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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