Understanding Two's Complement

What is the binary representation of the decimal number -5?

• 00000101

• 11111101

• 11111010

• 11111011

How many bits are needed to represent the number 15 in binary using two's complement?

• 8

• 5

• 4

• 6

What is the two's complement of the binary number 0110?

• 1010

• 1100

• 1001

• 0111

Perform the addition of the two's complement numbers 0110 and 0011. What is the result?

• 1010

• 1100

• 0001

• 1001

What is the result of subtracting the two's complement number 0101 from 0011?

• 1101

• 0110

• 0010

• 1110

Convert the binary number 1111 to its decimal equivalent using two's complement.

• 15

• -1

• 0

• 1

What is the two's complement representation of the decimal number -8 in an 8-bit system?

• 11111000

• 00001000

• 11111100

• 11111001

How do you convert a positive binary number to its two's complement?

• Subtract 1 from the number.

• Leave the number unchanged.

• Add 1 to the number directly.

• Invert the bits and add 1.

What is the result of adding the two's complement numbers 1110 and 0001?

• 1111

• 0000

• 1110

• 1101

Explain how overflow occurs in two's complement arithmetic operations.

• Overflow is indicated by a carry out of the most significant bit.

• Overflow happens only in unsigned arithmetic operations.

• Overflow occurs in two's complement when the sign of the result is incorrect due to exceeding the representable range.

• Overflow occurs when the result is too small to be represented.