Twos Complement Representation Characteristics

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Questions and Answers

What is the purpose of the control signals in the twos complement arithmetic circuit?

  • To determine whether to perform addition or subtraction (correct)
  • To set the overflow flag
  • To generate the twos complement of the subtrahend
  • To enable or disable the adder

In a twos complement representation, what does a 1 in the most significant bit indicate?

  • An underflow
  • A negative number (correct)
  • An overflow
  • A positive number

What is the range of numbers that can be represented in 8-bit twos complement representation?

  • -128 to 127 (correct)
  • -255 to 255
  • 0 to 255
  • -64 to 63

What is the Ones' Complement representation of the number 6?

<p>00000110 (D)</p> Signup and view all the answers

What happens when the result of an addition or subtraction operation in twos complement representation exceeds the maximum value that can be represented?

<p>An overflow flag is set (A)</p> Signup and view all the answers

What is the result of the operation (85) + (65) in 8-bit twos complement representation?

<p>150 (with overflow) (D)</p> Signup and view all the answers

What is the range of 8-bit two's complement representation?

<p>-128 to 127 (D)</p> Signup and view all the answers

How many representations of zero exist in two's complement representation?

<p>One (A)</p> Signup and view all the answers

What is the procedure to negate a number in two's complement representation?

<p>Take the Boolean complement of each bit of the corresponding positive number, then add 1 (A)</p> Signup and view all the answers

What is the rule for overflow in two's complement addition?

<p>If two numbers with the same sign are added, then overflow occurs if and only if the result has the opposite sign (D)</p> Signup and view all the answers

What is the main advantage of two's complement representation over one's complement representation?

<p>Only one representation of zero (B)</p> Signup and view all the answers

What happens when expanding the bit length of a two's complement number?

<p>The sign bit is copied to the left (A)</p> Signup and view all the answers

What is the range of integers that can be represented using two's complement?

<p>-(2^(N-1)-1) to 2^(N-1)-1 (B)</p> Signup and view all the answers

What is the process of obtaining the ones' complement of a binary number?

<p>Inverting all the bits in the binary representation (C)</p> Signup and view all the answers

What happens during an overflow in two's complement addition?

<p>The result is the opposite sign of the operands (A)</p> Signup and view all the answers

What is the purpose of the end-around carry rule in two's complement addition?

<p>To add the carry-out bit to the least significant bit (C)</p> Signup and view all the answers

Why is it important to convert -0 to +0 in sign-magnitude representation?

<p>To avoid confusion between +0 and -0 (D)</p> Signup and view all the answers

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