Ask Question
EngineeringEngineering
12 November, 11:50

Because A-B=A + (-B), the subtraction of signed numbers can be accomplished by adding the complement. Subtract each of the following pairs of 5-bit binary numbers by adding the complement of the subtrahend to the minuend. Indicate when an overflow occurs. Assume that negative number are represented in 1's complement. Then repeat using 2's complement.

a) 01001-11010b) 11010-11001c) 10110-01101d) 11011-00111e) 11100-10101

+2
Answers (1)
  1. 12 November, 12:03
    0
    Using 1's complement

    a)

    Therefore the difference is - 10001

    b)

    Therefore the difference is 00001

    c)

    Therefore the difference is 01001

    d)

    Therefore the difference is 10100

    e)

    Therefore the difference is 00111

    Explanation:

    Using 1's complement

    a) The 1's complement of the subtrahend 11010 = 00101.

    Therefore 01001-11010 = 01001 + 00101 = 01110

    Since no overflow, we take the 1's complement of the result and it is negative.

    Therefore the difference is - 10001

    b) The 1's complement of the subtrahend 11001 = 00110.

    Therefore 11010-11001 = 11010 + 00110 = 1 00000

    Since there is an overflow, we add the overflow to the result

    Therefore the difference is 00001

    c) The 1's complement of the subtrahend 01101 = 10010

    Therefore 10110-01101 = 10110 + 10010 = 1 01000

    Since there is an overflow, we add the overflow to the result

    Therefore the difference is 01001

    d) The 1's complement of the subtrahend 00111 = 11000

    Therefore 11011-00111 = 11011 + 11000 = 1 10011

    Since there is an overflow, we add the overflow to the result

    Therefore the difference is 10100

    e) The 1's complement of the subtrahend 10101 = 01010

    Therefore 11100-10101 = 11100 + 01010 = 1 00110

    Since there is an overflow, we add the overflow to the result

    Therefore the difference is 00111

    Using 2's complement

    a) The 2's complement of the subtrahend 11010 = 00110.

    Therefore 01001-11010 = 01001 + 00110 = 01111

    Since no overflow, we take the 2's complement of the result and it is negative.

    Therefore the difference is - 10001

    b) The 2's complement of the subtrahend 11001 = 00111.

    Therefore 11010-11001 = 11010 + 00111 = 1 00001

    Since there is an overflow, we drop the overflow

    Therefore the difference is 00001

    c) The 1's complement of the subtrahend 01101 = 10011

    Therefore 10110-01101 = 10110 + 10011 = 1 01001

    Since there is an overflow, we drop the overflow

    Therefore the difference is 01001

    d) The 1's complement of the subtrahend 00111 = 11001

    Therefore 11011-00111 = 11011 + 11001 = 1 10100

    Since there is an overflow, we drop the overflow

    Therefore the difference is 10100

    e) The 1's complement of the subtrahend 10101 = 01011

    Therefore 11100-10101 = 11100 + 01011 = 1 00111

    Since there is an overflow, we drop the overflow

    Therefore the difference is 00111
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Because A-B=A + (-B), the subtraction of signed numbers can be accomplished by adding the complement. Subtract each of the following pairs ...” in 📗 Engineering if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers
You Might be Interested in
When the 2.8-kg bob is given a horizontal speed of 1.5 m/s, it begins to rotate around the horizontal circular path A. The force F on the cord is increased, the bob rises and then rotates around the horizontal circular path B.
Answers (1)
Suggest how any sorting algorithm can be augmented in a way to make the best-case count of its key comparisons equal to just n-1 (n is a list's size, of course). Do you think it would be a worthwhile addition to any sorting algorithm?
Answers (1)
Write an application that prompts the user for a password that contains at least two uppercase letters, at least three lowercase letters, and at least one digit. Continuously reprompt the user until a valid password is entered.
Answers (1)
What is a general requirement on a sensor for the sensor to have minimal dynamic error? (The sensor is not limited to be a first-order sensor. It is, in general, an nthorder sensor).
Answers (1)
Heterochrony is ... an evolutionary change in the rate or timing of developmental events an evolutionary change in gene sequences an evolutionary change in gene regulation an evolutionary change in spatial pattern g
Answers (1)
New Questions in Engineering
List and briefly describe two modern's materials needs
Answers (1)
Write the definition of a method named add that receives a reference to a Scanner object associated with a stream of input consisting of integers only. The method reads all the integers remaining to be read from the stream and returns their sum.
Answers (1)
How are fluids distributed and transported in a fluid power system?
Answers (1)
The sliders A and B are connected by a light rigid bar of length l = 20 in. and move with negligible friction in the slots, both of which lie in a horizontal plane. For the position where xA = 16 in., the velocity of A is vA = 3 ft/sec to the right.
Answers (1)
Two parallel Rivers (A and B) are separated by confined and unconfined aquifer estimate the RATE of seepage of river A to River B per unit length of the rivers
Answers (1)
Home » Engineering » Because A-B=A + (-B), the subtraction of signed numbers can be accomplished by adding the complement. Subtract each of the following pairs of 5-bit binary numbers by adding the complement of the subtrahend to the minuend.
Sign Up Forgot Password?