Quiz 1 Review

Convert the following decimal to 8-bit 2’s complement binary: -67

• 10111101

• 11000011

• 01000011

• 10111111

Convert the following 8-bit 2’s complement binary to decimal: 01110100

• 116

• 117

• -52

• -12

Convert the following signed magnitude binary to decimal: 11111011

• -123

• 251

• -5

• -251

Convert the following unsigned binary to decimal: 11010111

• 215

• -87

• -41

• 87

Convert the following hex to octal: 0xBEEF

• 0o137357

• 0o37357

• 0o737357

• 0o067

What is the representation range of 6-bit 2’s complement?

• [-32, 31]

• [-31, 31]

• [-32, 32]

• [-31, 32]

What is the representation range of 7-bit signed magnitude?

• [-63, 63]

• [-64, 63]

• [-64, 64]

• [-63, 64]

Sign extend the following 5-bit two’s complement to 8 bits: 11011

• 11111011

• 00011011

Sign extend the following 4-bit unsigned binary to 8 bits: 1100

• 00001100

• 11111100

Does the following 2’s complement addition result in overflow: 11010111 + 11100110

• No, the carry in matches the carry out on the MSB

• No, the sign matches the expected result

• Yes, adding two negative numbers always results in overflow

• Yes, the carry out on the MSB means there is overflow