Computers typically do not implement integer subtraction directly, but instead using addition and negation.
To accomplish negation, they often use the formula −x = (x ˆ 11 . . . 1) + 1, which can be 3 implemented using bitwise XOR and addition.
The string 11 . . . 1 here represents the all 1’s string of length n, where n is the width of the CPU.
The addition is done modulo 2n. Verify that −x ≡ (x ˆ 11 . . . 1) + 1 (mod 2n) for n = 4 and x = 3. Show your work
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