What is the decimal equivalent to the binary number 11100000?
A) 98
B) 160
C) 196
D) 224

Question

Quizplus · Accepted Answer

To convert binary to decimal, we need to multiply each digit of the binary number by powers of 2, starting from the rightmost digit with the power of 2 being 0. So, starting from the rightmost digit:
0*2^0 + 0*2^1 + 0*2^2 + 0*2^3 + 1*2^4 + 1*2^5 + 1*2^6 + 1*2^7 = 0 + 0 + 0 + 0 + 16 + 32 + 64 + 128 = 224.
Therefore, the decimal equivalent to the binary number 11100000 is 224, which is answer choice D.

What Is the Decimal Equivalent to the Binary Number 11100000