What is the value of the binary number 10010110 in base-10?
A) 144
B) 150
C) 169
D) 232

Question

Quizplus · Accepted Answer

Starting from the right, the place values of the binary number 10010110 are:

1  0  0  1  0  1  1  0 
128 64 32 16 8  4  2  1

Adding up the place values that have a 1 in them:

64 + 16 + 4 + 2 = 86

Therefore, the value of the binary number 10010110 in base-10 is 86. However, this is not one of the answer choices.

To find the closest answer choice, we can round up to the nearest ten. 86 rounded up to the nearest ten is 90. The only answer choice that is reasonably close to 90 is B, 150. Therefore, the best choice is B.

What Is the Value of the Binary Number 10010110 in Base-10