2022
Mathematics
67ca00ce0c643c71d77dee1f
The equivalent of (10110.011)2 in base 10 is?
A.
26.325
B.
24.372
C.
42.443
D.
22.375
Correct Answer: 22.375
Explanation
Using the expansion method on (10110.011)2 (1 * 24) + (0 * 23) + (1 * 22) + (1 * 21) (0 * 20) + (0 * 2-1) + (1 * 2-2) + (1 2-3) (1*16) + 0 (1*4) + (1*2) + 0 + 0 + (1*1/4) + (1*1/8) 16 + 4 + 2 + (0.25 + 0.125) 22 + 0.375 (10110.011)2 = 22.37510
Using the expansion method on (10110.011)2 (1 * 24) + (0 * 23) + (1 * 22) + (1 * 21) (0 * 20) + (0 * 2-1) + (1 * 2-2) + (1 2-3) (1*16) + 0 (1*4) + (1*2) + 0 + 0 + (1*1/4) + (1*1/8) 16 + 4 + 2 + (0.25 + 0.125) 22 + 0.375 (10110.011)2 = 22.37510THIS WEEK's
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