GCSE: Binary and Two's Complement

What is the two's complement of the binary number 0101?

• 1010

• 1011

• 1101

• 1110

Which of the following is a characteristic of two's complement representation?

• It can only represent positive numbers.

• It uses an extra bit for the sign.

• It allows for both positive and negative numbers.

• It is the same as one's complement.

What is the result of a left binary shift by 2 positions on the binary number 0011?

• 1100

• 0110

• 1000

• 1110

How does an arithmetic right shift differ from a logical right shift?

• Arithmetic shifts fill with 0s, logical shifts fill with 1s.

• Arithmetic shifts preserve the sign bit, logical shifts do not.

• Arithmetic shifts are faster than logical shifts.

• There is no difference.

What is the primary application of binary shifts in computer science?

• To increase processing speed.

• To perform multiplication and division by powers of two.

• To store more data in less space.

• To enhance security.

Convert the decimal number 13 to binary.

• 1101

• 1011

• 1110

• 1001

How is the decimal number -5 represented in an 8-bit two's complement binary system?

• 11111011

• 11111010

• 11111101

• 11111100

What is the result of a logical left shift by 1 position on the binary number 1010?

• 0101

• 1011

• 1100

• 0100

Which of the following is true about two's complement?

• It is used only for positive numbers.

• It simplifies the design of arithmetic circuits.

• It requires more bits than other systems.

• It is less efficient than sign-magnitude representation.

What is the binary representation of the decimal number 7?

• 0111

• 1110

• 1010

• 1101