The range of n-bit signed magnitude... - Solved

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Question 100

Computer Awareness Number representations Hard

The range of n-bit signed magnitude representation is

(A) 0 to 2n - 1

(B) -(2n-1 - 1) to (2n-1 -1)

(C) -(2n-1) to (2n-1)

(D) 0 to 2n-1-1

✓ Correct Answer: Option B Verified Solution

In sign-magnitude form, 1 bit is the sign and \(n-1\) bits are the magnitude. The largest magnitude is \(2^{n-1} - 1\).

Range = \(-(2^{n-1} - 1)\) to \(+(2^{n-1} - 1)\). (There are two zeros, +0 and −0.)

Answer: (B)

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