GATE | GATE-CS-2005 | Question 16

The range of integers that can be represented by an n bit 2’s complement number system is
(A) – 2^{n – 1} to (2^{n – 1} – 1)
(B) – (2^{n – 1} – 1) to (2^{n – 1} – 1)
(C) – 2^{n – 1} to 2^{n – 1}
(D) – (2^{n – 1} + 1) to (2^{n – 1} + 1)


Answer: (A)

Explanation: For example, signed char is 8 bits, we can store from -128 to 127 using sign char. Refer http://en.wikipedia.org/wiki/Two%27s_complement
for more details.


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