Binary Number Representation Methods

The video tutorial explains the representation of signed numbers in binary form. It covers three methods: sign magnitude, one's complement, and two's complement. Each method is explained with examples, focusing on how to represent positive and negative numbers. The sign magnitude form adds a sign bit to indicate positivity or negativity. One's complement involves inverting the binary digits, while two's complement adds one to the one's complement. The tutorial highlights the differences in representing negative numbers across these methods.

What are the two main methods for representing signed numbers in binary?

• Decimal and hexadecimal

• Sign magnitude and complement form

• One's complement and two's complement

• Sign magnitude and one's complement

In the sign magnitude form, what is added to the binary number to indicate a positive sign?

• 1 at the beginning

• 0 at the beginning

• 0 at the end

• 1 at the end

How is a negative number represented in the sign magnitude form?

• By flipping all bits

• By adding 1 at the beginning

• By adding 1 at the end

• By adding 0 at the end

What is the first step in finding the one's complement of a binary number?

• Add 0 at the beginning

• Flip all bits of the binary number

• Convert to decimal

• Add 1 to the binary number

How do you represent a negative number in one's complement form?

• Add 1 to the binary number

• Flip all bits of the positive number

• Convert to decimal

• Add 0 at the beginning

What additional step is required to convert one's complement to two's complement?

• Subtract 1

• Add 1

• Convert to decimal

• Flip all bits again

In two's complement form, what is the representation of a positive number?

• Same as one's complement form

• None of the above

• Same as sign magnitude form

• Different from both sign magnitude and one's complement

Which method involves flipping all bits and adding one to represent negative numbers?

• One's complement

• Decimal

• Sign magnitude

• Two's complement

What is a common feature of positive number representation in all three methods?

• Flipping all bits

• Adding 0 at the beginning

• Adding 1 at the end

• Converting to decimal

Which method is considered the most efficient for arithmetic operations?

• Decimal

• Two's complement

• One's complement

• Sign magnitude