Find the value of 1011011 base 2 ÷ 111 base 2

Answer 1

To divide two numbers in binary, set up the division problem similar to how you would in decimal and perform repeated subtraction or long division.

The dividend is 1011011 base 2 (which is 91 in decimal), and the divisor is 111 base 2 (which is 7 in decimal).

100011 (quotient) <- Start with a 0 in the quotient
_______________
111 | 1011011 (dividend)
- 111
___________
100111
- 111
_______
1110
- 111
______
1111
- 111
_______
0

The remainder is 0, indicating that the division process is complete. The quotient is 100011 base 2.