Find the decimal equivalent for each of the following binary numbers. -111.1101₂ A) 7.78125 B) 7.8125 C) 7.6875 D) 7.40625 E) None of these

Question

Quizplus · Accepted Answer

The binary number 111.1101 can be converted to decimal by calculating the sum of each bit multiplied by 2 raised to the power of its position. The integer part is 1*2^2 + 1*2^1 + 1*2^0 = 4 + 2 + 1 = 7. The fractional part is 1*2^-1 + 1*2^-2 + 0*2^-3 + 1*2^-4 = 0.5 + 0.25 + 0 + 0.0625 = 0.8125. Adding these gives 7.8125.

Find the Decimal Equivalent for Each of the Following Binary