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# The binary number 101101 represents what decimal number?

Question #124874. Asked by BIG_Flicker.
Last updated May 18 2021.
Originally posted Jan 25 2012 7:36 PM.

Lottie1001
Answer has 6 votes
Currently Best Answer
Lottie1001
15 year member
136 replies

Answer has 6 votes.

Currently voted the best answer.
A binary number is a number written in base two, so the columns represent 1, 2, 4, 8, 16, 32 etc. So 101101 in binary is equivalent to (1 X 1) + (0 X 2) + (1 X 4) + (1 X 8) + (0 X 16) + (1 X 32) = 1 + 4 + 8 + 32 = 45.

https://www.mathsisfun.com/binary-number-system.html

Response last updated by gtho4 on May 18 2021.
Jan 25 2012, 8:19 PM
mctavish99
Answer has 6 votes
mctavish99
17 year member
518 replies

Answer has 6 votes.
The long answer

1 x 1 = 1
0 x 2 = 0
1 x 4 = 4
1 x 8 = 8
0 x 16 = 0
1 x 32 = 32

1 + 4 + 8 + 32 = 45

The short answer - select an internet based binary - decimal converter, type in a number in one format, out comes the answer in the other format

http://www.mathsisfun.com/binary-decimal-hexadecimal-converter.html

Jan 25 2012, 8:26 PM
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