Question

The range of positive integers possible in an 8-bit two's complement system is: A) 1 to 256. B) 1 to 127. C) 1 to 255. D) 1 to 128.

Answer 1

The correct answer is B) 1 to 127.

Step-by-step explanation:

In an 8-bit two's complement system, the range of positive integers possible is from 0 to (2^8)-1 = 255. However, since the two's complement system allocates the most significant bit (MSB) to represent the sign of the number, the range of positive integers would be halved. Therefore, the range of positive integers in an 8-bit two's complement system is from 1 to 127.