Two's Complement Representation Concepts

The video tutorial explains two's complement representation, a method for representing both positive and negative numbers in binary. It covers how to determine the value of a number in two's complement, using examples of both positive and negative numbers. The tutorial also discusses the range of numbers that can be represented using N-bit two's complement and provides a method for converting between positive and negative numbers by flipping bits and adding one.

What is the primary purpose of two's complement representation?

• To represent only positive numbers

• To represent only negative numbers

• To represent both positive and negative numbers

• To represent decimal numbers

In two's complement, what does a '1' in a bit position indicate?

• The number is positive

• The number is negative

• The power of 2 is part of the number

• The power of 2 is not part of the number

How is the number 8 represented in 8-bit two's complement?

• 11111111

• 00000010

• 11111000

• 00001000

What is the most significant bit (MSB) in a negative two's complement number?

• 3

• 0

• 1

• 2

What is the value of the binary number 101100 in two's complement?

• 12

• -20

• 20

• -12

What is the largest positive number that can be represented with 6-bit two's complement?

• 64

• 31

• 32

• 63

What is the range of numbers that can be represented using N-bit two's complement?

• -2^(N-1) to 2^N-1

• -2^N to 2^N-1

• 0 to 2^N-1

• -2^(N-1) to 2^(N-1)-1

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

• Flip all bits and subtract 1

• Subtract 1 and flip all bits

• Flip all bits and add 1

• Add 1 and flip all bits

If you start with a positive number in two's complement and flip all bits and add 1, what do you get?

• The same positive number

• A different positive number

• The negative equivalent of the original number

• Zero

What is the result of flipping all bits of 101100 and adding 1?

• 010011

• 010100

• 101100

• 101011