Subjects computer science

Binary Subtraction 6B616F

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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).