Binary Subtraction 6B616F
1. The problem is to perform binary subtraction.
2. Binary subtraction follows rules similar to decimal subtraction but uses base 2.
3. The basic rules are:
- 0 - 0 = 0
- 1 - 0 = 1
- 1 - 1 = 0
- 0 - 1 requires borrowing 1 from the next higher bit.
4. When borrowing, a '1' from the next bit is converted to '10' in binary (which is 2 in decimal).
5. Example: Subtract 1011 (11 decimal) - 110 (6 decimal).
6. Align the numbers:
1011
-0110
7. Start from the right:
- 1 - 0 = 1
- 1 - 1 = 0
- 0 - 1: borrow 1 from the left bit (which is 1), so 0 becomes 10 (2 decimal), 10 - 1 = 1
- After borrowing, left bit is 0, so 0 - 0 = 0
8. Result is 0101 which is 5 in decimal.
Final answer: 1011 - 0110 = 0101 (binary) or 5 (decimal).