WAEC - Computer Studies (2021 - No. 45)

The binary number 0.1101 in decimal is 
0.8125
0.8215
0.8225
0.8512

Explanation

0.1101 in base two to base 10

0.1101 = \(0+ 1 \times2^{-1} + 1 \times2^{-2} + 0 \times 2^{-3} + 1 \times2^{-4}\)

 = 0 + \(\frac{1}{2} + \frac{1}{4} + 0 + \frac{1}{16}\)

 = 0 + \(\frac{13}{16}\) = \(0.8125_{10}\)

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