The decimal equivalent of the binary number (1011.011)2 is______________
A)(11.375)10
B)(10.123)10
C)(11.175)10
D)(9.23)10

Question

Quizplus · Accepted Answer

The binary number (1011.011)2 can be converted to decimal by multiplying each digit by 2 raised to the power of its position, counting from right to left starting from 0 for the first digit to the right of the decimal point. For the integer part: 1*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 8 + 0 + 2 + 1 = 11. For the fractional part: 0*2^(-1) + 1*2^(-2) + 1*2^(-3) = 0 + 0.25 + 0.125 = 0.375. Therefore, the decimal equivalent is 11.375.

The Decimal Equivalent of the Binary Number (1011