Question

Use direct subtraction on the following binary numbers: (a)11-1

(b)101-100
(c) 1110 - 11
(d) 1100 - 1001

Answer 1

Direct subtraction of binary numbers requires lining up the numbers and subtracting digit by digit, similar to base 10 subtraction. The binary subtraction problems provided result in binary numbers 10, 1, 1101, and 11 for each respective case.

Step-by-step explanation:

We need to perform direct subtraction of binary numbers for the following cases:

1. (a) 11 (binary for 3) minus 1 (binary for 1) gives us 10 (binary for 2).
2. (b) 101 (binary for 5) minus 100 (binary for 4) gives us 1 (binary for 1).
3. (c) 1110 (binary for 14) minus 11 (binary for 3) gives us 1101 (binary for 13).
4. (d) 1100 (binary for 12) minus 1001 (binary for 9) gives us 11 (binary for 3).

The process is similar to subtraction in base 10, where we line up the numbers and subtract digit by digit, borrowing from the next digit to the left if necessary.