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Subtract using 1’s complement: 9-12

Question

Subtract using 1’s complement: 9-12

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Solution

Step 1: Convert the numbers into binary

  • 9 in binary is 1001
  • 12 in binary is 1100

Step 2: Find 1's complement of the second number (12)

  • 1's complement of 1100 is 0011

Step 3: Add the first number and 1's complement of the second number

  • 1001 (9 in binary)
  • 0011 (1's complement of 12) = 1100

Step 4: If there is a carry, add it back to the result

  • In this case, there is no carry, so we skip this step

Step 5: Take the 1's complement of the result to get the final answer

  • 1's complement of 1100 is 0011, which is 3 in decimal

So, 9 - 12 = -3 in decimal.

This problem has been solved

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