How do I put 10101011 from binary into decimal?

As with all binary numbers, you can start from the right side. The furthest right place represents the 20 (=1) place. As you move left, the places represent 21, 22, 23, etc. So, as you go from the right to the left, you can find the decimal representation by multiplying the binary digit by the place it is in. Then, you should add up all of these numbers.
Using 10101011 starting from the furthest right, 120​ = 1, 121 = 2, 022 = 0, 123​ = 8, 024 = 0, 125 = 32, 026 = 0, 127 = 128.
Now, add these numbers together: 1+2+0+8+0+32+0+128 = 171. 

Answered by Lauren G. Computing tutor

3749 Views

See similar Computing GCSE tutors

Related Computing GCSE answers

All answers ▸

What is an algorithm?


What are the opcode and operand of instructions?


How would you convert the Binary number 01001101 into both Hexadecimal and Decimal?


Show how you would calculate 53 + 39 in 8-bit binary?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences