Binary Representation: Sign and Magnitude & Two's Complement

What is the most significant bit (MSB) used for in sign and magnitude representation?

• Indicating overflow

• Representing fractional part

• Representing the sign

• Denoting binary base

What is the two's complement of 00010101 (8-bit)?

• A. 11101010

• B. 11101011

• C. 00010101

• D. 11101100

In 8-bit sign and magnitude, how is -13 represented?

• 10001101

• 11110011

• 10001100

• 00001101

What is the range of values in 8-bit two's complement?

• -128 to +127

• -127 to +128

• 0 to 255

• -255 to +255

Which of the following binary numbers is -1 in 8-bit two's complement?

• 10000001

• 11111111

• 11111110

What is the decimal value of 11110101 in 8-bit two's complement?

• -11

• -15

• -27

• -75

Which method gives only one representation of zero?

• Sign and Magnitude

• Two's Complement

• One's Complement

• Excess-127

How is -128 represented in 8-bit two's complement?

• 10000001

• 11111111

• 10000000

• 00000001

What is the two's complement of 11110000?

• 00010000

• 00001111

• 00010000

• 00001000

What is the advantage of two's complement over sign and magnitude?

• Easier subtraction

• Faster multiplication

• No negative numbers

• Supports floating point