Question

question 2 (10 pt). in a 6 - bit system, use sign/magnitude scheme, please - represent 7 and - 7 in binary (base 2) - perform binary addition in this scheme - check if the resulting sum is zero in decimal (base 10).

Explanation:

Step1: Convert 7 to binary in 6 - bit sign/magnitude

The positive number 7 in binary is 111. In 6 - bit sign/magnitude, the left - most bit is 0 for positive. So it is 000111.

Step2: Convert - 7 to binary in 6 - bit sign/magnitude

The magnitude of 7 is 111. In 6 - bit sign/magnitude, for negative numbers, the left - most bit is 1. So - 7 is 100111.

Step3: Perform binary addition

000111 + 100111 = 101110

Step4: Convert the result to decimal

The left - most bit is 1, so it is a negative number. The magnitude is 01110 which is 14 in decimal. So the decimal value is - 14.

Answer:

The resulting sum is not zero in decimal. The binary representation of 7 is 000111, - 7 is 100111, their binary sum is 101110, and the decimal value of the sum is - 14.