Question 91

Computer Awareness Boolean algebra Easy

The maximum and minimum value represented in signed 16 bit 2's complement representations are

(A) -16384 and 16383
(B) 0 and 32767
(C) 0 and 65535
(D) -32768 and 32767
✓ Correct Answer: Option D Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

The range of n-bit 2's complement is \(-2^{n-1}\) to \(2^{n-1} - 1\).

For n = 16: \(-2^{15} = -32768\) to \(2^{15} - 1 = 32767\).

Answer: (D)

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