Question 413242
We wish to find the largest power of 2 (or multiple of power of 2) less than or equal to 23. This number is 16, so we write 23 = 16+7. Repeat the same process, the largest power of 2 less than or equal to the remainder (7) is 4. In the end, you should get


{{{23 = 2^4 + 0*2^3 + 2^2 + 2^1 + 2^0}}}.


Hence, 23 in base 10 is 10111 in binary.