Binary Number Representation Methods

The video tutorial explains the representation of signed numbers in binary form. It covers three methods: sign magnitude form, one's complement form, and two's complement form. Each method is explained with examples, focusing on how to represent positive and negative numbers. The sign magnitude form involves adding a sign bit, while one's complement involves inverting bits, and 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?

• Sign magnitude and complement forms

• Decimal and hexadecimal forms

• Floating point and fixed point forms

• ASCII and Unicode forms

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

• No additional bit is needed

• 2

• 0

• 1

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

• By adding a 0 in front

• By adding a 1 in front

• By reversing the binary digits

• By adding two extra bits

What is the first step in representing a negative number using one's complement?

• Add a 1 in front

• Reverse the binary digits

• Add a 0 in front

• Convert to decimal first

In one's complement form, what is the representation of -41 if +41 is 0101001?

• 0101000

• 1010111

• 1101001

• 1010110

What additional step is required in two's complement form after finding the one's complement?

• Subtract 1

• Add 1

• Multiply by 2

• Divide by 2

How is -41 represented in two's complement if +41 is 0101001?

• 1110101

• 1010110

• 1010111

• 1101010

Which method involves simply adding a 1 in front of the binary number to represent a negative number?

• Decimal representation

• Two's complement

• One's complement

• Sign magnitude

In which method do you first find the one's complement and then add one to represent a negative number?

• Binary coded decimal

• Sign magnitude

• One's complement

• Two's complement

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

• No common feature

• Reversing the digits

• Adding a 0 in front

• Adding a 1 in front