The decimal equivalent of the binary number 10000001 is 133.

Question

Quizplus · Accepted Answer

The decimal equivalent of the binary number 10000001 is 129, not 133. To convert a binary number to decimal, we can use the place value method. Starting from the rightmost bit, the first bit has a place value of 1, the second bit has a place value of 2, the third bit has a place value of 4, and so on. The value of each bit is obtained by multiplying the bit with its corresponding place value and adding up the results. Therefore,

10000001(base 2) = 1 x 2^0 + 0 x 2^1 + 0 x 2^2 + 0 x 2^3 + 0 x 2^4 + 0 x 2^5 + 0 x 2^6 + 1 x 2^7
                  = 1 + 0 + 0 + 0 + 0 + 0 + 0 + 128 
                  = 129(base 10)

The Decimal Equivalent of the Binary Number 10000001 Is 133