SLR11: Two's Complement Binary Quiz

What is the sign bit in a two's complement binary number?

• The least significant bit

• The most significant bit

• A randomly chosen bit

• There is no sign bit in two's complement

How do you convert the positive decimal number 5 to a two's complement binary number with 8 bits?

• 00000101

• 11111011

• 10000101

• 01111011

How do you convert the negative decimal number -5 to a two's complement binary number with 8 bits?

• 11111010

• 10111101

• 11111011

• 10000101

What happens when there is an overflow in two's complement arithmetic?

• The number wraps around to the opposite sign.

• The operation fails and returns an error.

• The result is always zero.

• Overflow is not possible in two's complement arithmetic.

How do you add two two's complement binary numbers?

• Convert them to decimal, add, and convert back.

• Add them as regular binary numbers and ignore any carry out of the leftmost bit.

• Subtract the second number from the first.

• Use XOR operation for addition.

What is the two's complement of the binary number 00000101?

• 11111010

• 11111011

• 10000101

• 00000101

How do you subtract the binary number 00000101 from 00001010 in two's complement?

• Convert both numbers to their two's complement and add.

• Directly subtract the second number from the first.

• Add the two's complement of 00000101 to 00001010.

• Use XOR operation for subtraction.

What is the result of adding the two's complement numbers 11111011 (-5) and 00000101 (5)?

• 00000000

• 00000001

• 11111110

• 11111111

In two's complement, what does the binary number 10000000 represent in an 8-bit system?

• -128

• 128

• -127

• 0

How do you detect overflow in the addition of two two's complement numbers?

• If the sign bits of the inputs are different from the result.

• If there is a carry out of the leftmost bit.

• If the sign bit of the result is 1.

• Overflow cannot be detected.