The binary number 101101 would be written in decimal as:
A)21.
B)36.
C)45.
D)62.

Question

Quizplus · Accepted Answer

To convert a binary number to decimal, we need to multiply each digit by its corresponding power of 2 and then add up the results.

Starting from the rightmost digit, the powers of 2 are: 
2^0 = 1 
2^1 = 2 
2^2 = 4 
2^3 = 8 
2^4 = 16 
2^5 = 32

So, for the binary number 101101, we can calculate its decimal equivalent as:

1 * 2^0 + 0 * 2^1 + 1 * 2^2 + 1 * 2^3 + 0 * 2^4 + 1 * 2^5 = 1 + 0 + 4 + 8 + 0 + 32 = 45

Therefore, the answer is choice C.

The Binary Number 101101 Would Be Written in Decimal As