How to convert any binary number to decimal?

Let us take a binary number 10010111. To make conversion easier let us write down numbers 0 to 7 under this binary number starting from the right side.

These numbers will represent powers of 2. For each '1' in the given binary number we will need to sum its power of 2 to get the decimal representation.

Thus:

1 0 0 1 0 1 1 1

7 6 5 4 3 2 1 0

would mean that we need to sum up 27, 24, 22, 21 and 20. Accordingly, 128+16+4+2+1 = 151.

This technique will work with any size binary number, provided that you will sum up all the powers of 2 starting from 0 up to the number of digits in binary number minus 1.

MS
Answered by Mantas S. Computing tutor

5434 Views

See similar Computing GCSE tutors

Related Computing GCSE answers

All answers ▸

How would 12 be represented in binary?


Write the number 195 in binary


What is an Algorithm?


How would you represent the decimal number 143 in 7 bit binary?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning