How do you convert the number 65 to binary?

Answer 1

The number 65 in binary is 1000001.

The digits in a binary number are exponents of 2 rather than 10, so that for a seven digit number in binary, the digit places represent

64, 32, 16, 8, 4, 2, 1 instead of increasing values of 10.

1000001 = 64+0+0+0+0+0+1 = 65

To create a binary number, use places for all exponent values of 2 that are less than your number. Subtract the largest digit (here 64) and see if each successive smaller digit can be subtracted. If it can, enter a 1 value and subtract again. Here, the remainder is 1, so write 0 values in the digit places for 32, 16, 8, 4, and 2, and then the final 1 = 1.