convert decimal to binary

Question

 

Show all the steps required to convert the decimal value 1000 to its binary 

representation.

Answer 1

There are various ways to do this. We'll use continuous division by 2:

1000 ➗ 2

500 rem 0

250 rem 0

125 rem 0

62 rem 1

31 rem 0

15 rem 1

7 rem 1

3 rem 1

1 rem 1

Starting at the end we write the final result (always 1) followed by the remainders in order:

1111101000₂=1000₁₀