Change the binary number to decimal form. 1.01111
A) 1.16875
B) 1.47675
C) 1.70625
D) 1.95625
E) 1.46875

Question

Quizplus · Accepted Answer

To convert the binary number 1.01111 to decimal, we start with the integer part, which is 1. For the fractional part, we use the formula $ \frac{1}{2^n} $ for each digit after the decimal point, where $ n $ is the position of the digit. Thus, we have $ \frac{0}{2^1} + \frac{1}{2^2} + \frac{1}{2^3} + \frac{1}{2^4} + \frac{1}{2^5} = 0 + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \frac{1}{32} = 0.46875 $. Adding this to the integer part, we get 1 + 0.46875 = 1.46875.

Change the Binary Number to Decimal Form. 1.01111