The 2's- complement method of subtracting +28₁₀from - 67₁₀produces a signed binary and decimal difference of: A) 01011111, +95₁₀ B) 11011111, - 95₁₀ C) 01011111, - 95₁₀ D) 11011111, +95₁₀

Question

Quizplus · Accepted Answer

To subtract +28 from -67 using 2's complement, first represent both numbers in binary. +28 is 00011100 in 8-bit binary. -67 is represented as the 2's complement of 67 (01000011 in binary), which is 10111101. Subtracting +28 from -67 is equivalent to adding -67 and -28. -28 in 2's complement is 11100100. Adding 10111101 (-67) and 11100100 (-28) gives 11011111, which is -95 in decimal, hence option B is correct.

The 2's- Complement Method of Subtracting +2810 from - 6710

The 2's- Complement Method of Subtracting +28₁₀from - 67₁₀