Question

Perform binary addition of A+B. What is the sum result? What is the carry out of MSB? What does it mean under signed representation? What does it mean under unsigned representation?

i) A = 11011 B = 01101
ii) A = 111 B = 101
iii) A = 0011 B = 1000

Answer 1

In binary addition, the sums and carry outs can be calculated using only 0s and 1s. The most significant bit (MSB) indicates the sign of the number in signed representation, while in unsigned representation all bits represent the magnitude of the number.

Step-by-step explanation:

In binary addition, you perform addition using only 0s and 1s. Here are the sums and carry outs for the given examples:

1. A = 11011, B = 01101
   Sum = 010000, Carry out of MSB = 0
2. A = 111, B = 101
   Sum = 1100, Carry out of MSB = 0
3. A = 0011, B = 1000
   Sum = 1011, Carry out of MSB = 0

Under signed representation, the most significant bit (MSB) is used to indicate the sign of the number. If the MSB is 1, the number is negative; if the MSB is 0, the number is positive.

Under unsigned representation, all bits in the binary number are treated as magnitude bits and do not represent a sign. This means the number is always positive.