Question

How would you convert this base 10 decimal into a base 2number?:

36 R 210=_____________2 *NOTE: 'R'means remainder*
also just in general how would you convert any base numberwith a remainder into another base number?

Answer 1

The method of converting a base 10 or decimal number into base 2 or binary number is as following:-

1. Divide the decimal number by 2 and store it's remainder.
2. keep dividing the decimal number by 2 until it becomes 0 and also keep storing it's remainder.
3. Then write the remainders in reverse order.This the binary number.

Refer the attached image for better explanation.