1. What will be printed in the second line? Why?

a. -32769, because y will be pre-decremented before printing

b. -32768, because -32768 is the smallest possible number in 2-byte 2s compliment representation. B cannot be decremented

c. 32767, because -32768 is the smallest possible number in 2-byte 2s compliment representation. --B will overflow to the largest possible number.

d. -1, because -32768 is the smallest possible number in 2-byte 2s compliment representation.

--B will overflow to the largest possible negative number.

2. Which of the following operations will overflow in 4-bit twos compliment representation?

a. 1111 + 1111

b. 0111 + 0001

c. 1000 1111

d. 0111 + 1111

BONUS (5 * 4 points)

3. What is AA BA in 8-bit unsigned representation? [all numbers are given in hex]

a. Overflow

b. 10

c. 1A

d. A1

4. What is the 8-bit 2s complement representation of a number which is represented as 81₁₆ in 8-bit sign-magnitude integer representation?

FF₁₆

18₁₆

11₁₆

Cannot be determined

5. What is 3B₁₆ + AB₁₆ in 8-bit sign-magnitude representation?

DB₁₆

10₁₆

2B₁₆

Cannot be determined

6. What is 1100 0001 in 4-bit 2s compliment representation?

a. 11011 overflow

b. 1011 = - 5

c. 1100 = -4

d. 1101 = -3

7. Overflow will occur when adding two in 2s compliment, if

a. the signs of the operands are different

b. there is a carry-out from the MSBs

c. the signs of the operands are same, and there is a carry-out from the MSBs

d. the signs of the operands are same, but the sign of the result is different