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2’S Complement Subtraction As in 1’S complement subtraction, the 2’S complement subtraction method allows subtracting numbers simply by using addition operation only.

Question

2’S Complement Subtraction As in 1’S complement subtraction, the 2’S complement subtraction method allows subtracting numbers simply by using addition operation only.

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Solution

Sure, here's how 2's complement subtraction works:

  1. Convert the number you want to subtract (the subtrahend) into its 2's complement form. The 2's complement of a binary number is obtained by inverting the digits (changing 1s to 0s and vice versa) and then adding 1 to the least significant bit.

  2. Add this 2's complement number to the minuend (the number you are subtracting from).

  3. If there is a carry out of the most significant bit, ignore it.

  4. The result is the difference of the two numbers.

This method works because the 2's complement of a binary number represents its negative in the binary number system. So, adding the 2's complement (negative) of a number to another number effectively subtracts the first number from the second.

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