Convert the decimal number 165 to binary

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we can use the subtraction method to find this out:

create a table set out like this

  27  |  26  |  25  |  24  |  23  |  22  |  21  |  20

128  |  64  |  32  |  16  |  8   |  4   |   2   |   1

       |        |       |        |       |      |        |

Now we simply take away each number.

165 - 128 = 37

37 - 64 < 0 So we ignore this one

37 - 32 = 5

5 - 16 < 0

5 - 8 < 0

5- 4 = 1

1 -2 < 0

1 - 1 = 0 

Now we fill in the table with the ones that were greater than zero with one and those not with zero

  27  |  26  |  25  |  24  |  23  |  22  |  21  |  20

128  |  64  |  32  |  16  |  8   |  4   |   2   |   1

   1   |   0   |   1  |   0   |  0  |   1   |   0   |  1 

so we now know 16510 = 101001012

Matthew P. 11 Plus Maths tutor, GCSE Maths tutor, A Level Maths tutor...

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