Two's Complement and One's Complement Concepts

The video tutorial explains binary representation and conversion to decimal, focusing on how to represent negative numbers using sign bits, one's complement, and two's complement. It highlights the issues with sign bits, such as negative zero, and demonstrates how one's complement flips bits to represent negatives. The tutorial then introduces two's complement, which resolves arithmetic issues and eliminates negative zero, making it a preferred method for representing negative numbers in binary.

How is the number 5 represented in binary?

• 101

• 110

• 111

• 100

What is a potential issue when using sign bits to represent negative numbers?

• It requires more bits

• It results in negative zero

• It is difficult to understand

• It is not compatible with binary

How are negative numbers represented in one's complement?

• By subtracting one

• By adding two

• By flipping all bits

• By adding a sign bit

What is a common arithmetic issue with one's complement?

• Results are off by one

• It cannot represent zero

• It is slower to compute

• It requires more bits

How does two's complement resolve the issue of negative zero?

• By using more bits

• By flipping all bits

• By eliminating negative zero

• By adding a sign bit

What is the first step in negating a number using two's complement?

• Subtract one

• Add one

• Flip all bits

• Add a sign bit

In two's complement, what does the most significant bit represent?

• A positive eight place

• A sign bit

• A negative eight place

• A zero

What is the binary representation of -5 in two's complement?

• 1111

• 1101

• 1010

• 1011

How does two's complement handle arithmetic operations?

• By using a sign bit

• By using place values

• By flipping bits

• By ensuring all operations result in zero

What is the final step in converting a number to its negative in two's complement?

• Flip all bits

• Add a sign bit

• Add one

• Subtract one