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2's Complement Binary Operation

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Questions and Answers

What is the result of adding 1 to the 1’s-complement of an n-bit number?

The 1’s-complement of that number

The 2’s-complement of that number (correct)

The decimal equivalent of that number

The binary representation of that number

What happens when you add two positive numbers to get a negative number or two negative numbers to get a positive number in 2’s complement?

Overflow (correct)

Carry-out

Underflow

Carry-in

What is the number of bits in a memory location that can store?

1 word

1 byte

1 bit (correct)

What is the condition for overflow detection in 2’s complement?

If carry-in differs from carry-out Signup and view all the answers

What is the result of adding +3 and +4 in 2’s complement?

0111 Signup and view all the answers

What is the 2’s complement representation of -5?

1101 Signup and view all the answers

In a 4-bit machine word, how many different values can be represented?

16 different values Signup and view all the answers

What is the high order bit in the sign and magnitude representation?

Sign bit Signup and view all the answers

How is subtraction implemented in a binary representation?

By addition and 1's complement Signup and view all the answers

What is the disadvantage of the one's complement representation?

It has two representations of 0 Signup and view all the answers

What is the advantage of the two's complement representation?

It has only one representation of 0 Signup and view all the answers

What is the main difference between the representation of positive and negative numbers in the sign and magnitude system?

The most significant bit is 0 for positive numbers and 1 for negative numbers Signup and view all the answers

What is the process of obtaining negative values in 1's complement representation?

By complementing each bit of the corresponding positive number Signup and view all the answers

What is a characteristic of the Two's Complement representation?

There is one representation for 0 Signup and view all the answers

How many more negative numbers can be represented than positive numbers in a binary representation?

One more negative number Signup and view all the answers

What is the purpose of the leftmost bit in the binary representation of signed integers?

To indicate the sign of the number Signup and view all the answers

How are negative numbers represented in the Two's Complement representation?

By complementing each bit of the corresponding positive number and then adding 1 Signup and view all the answers