How do you change decimal into binary?

Answer 1

You repetitively divide the number by two, taking the remainder as the digit (in binary). When you divide by 2, the remainder will either be 0 or 1.

Example: convert 23 (base 10) to binary:

23/2 = 11, remainder 1 (this is the ones digit)

11/2 = 5, remainder 1 (this is the twos digit)

5/2 = 2, remainder 1, (this is the fours digit)

2/1 = 1, remainder 0, (this is the eights digit)

1/2 = 0, remainder 1, (this is the sixteens digit). So now combine the digits (sixteens is the highest digit in this number):

23 (base 10) = 10111 (base 2)

Answer 2

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