Scroll to Top

Digital Circuits Questions and Answers – 1’s, 2’s, 9’s & 10’s Complements – 1

4 Comments / Digital Electronics

Digital Circuits Questions and Answers – 1’s, 2’s, 9’s & 10’s Complements – 1

This set of Digital Electronics/Circuits Multiple Choice Questions & Answers (MCQs) focuses on “1’s, 2’s, 9’s & 10’s Complements – 1”.

1. 1’s complement of 1011101 is ____________
a) 0101110
b) 1001101
c) 0100010
d) 1100101

Answer: c
Explanation: 1’s complement of a binary number is obtained by reversing the binary bits. All the 1’s to 0’s and 0’s to 1’s.Thus, 1’s complement of 1011101 = 0100010.

2. 2’s complement of 11001011 is ____________
a) 01010111
b) 11010100
c) 00110101
d) 11100010

Answer: c
Explanation: 2’s complement of a binary number is obtained by finding the 1’s complement of the number and then adding 1 to it.
2’s complement of 11001011 = 00110100 + 1 = 00110101.

3. On subtracting (01010)2 from (11110)2 using 1’s complement, we get ____________
a) 01001
b) 11010
c) 10101
d) 10100

Answer: d
Explanation: Steps For Subtraction using 1’s complement are:
-> 1’s complement of the subtrahend is determined and added to the minuend.
-> If the result has a carry, then it is dropped and 1 is added to the last bit of the result.
-> Else, if there is no carry, then 1’s complement of the result is found out and a ‘-’ sign preceeds the result.

                                             1 1 1
                      Minuend -              1 1 1 1 0
 1’s complement of subtrahend -              1 0 1 0 1 
                                            ____________
                  Carry over -     1         1 0 0 1 1
                                                     1
                                            _____________
                                             1 0 1 0 0

4. On subtracting (010110)2 from (1011001)2 using 2’s complement, we get ____________
a) 0111001
b) 1100101
c) 0110110
d) 1000011

Answer: d
Explanation: Steps For Subtraction using 2’s complement are:
-> 2’s complement of the subtrahend is determined and added to the minuend.
-> If the result has a carry, then it is dropped and the result is positive.
-> Else, if there is no carry, then 2’s complement of the result is found out and a ‘-’ sign preceeds the result.

      1’s complement of subtrahend -              1 1 0 1 0 0 1
                                                _________________
                                                  1 1 1
                           Minuend -              1 0 1 1 0 0 1 
      2’s complement of subtrahend -              1 1 0 1 0 1 0
                                                 _________________
 
                        Carry over -    1         1 0 0 0 0 1 1
 
Answer: 1000011

5. On subtracting (001100)2 from (101001)2 using 2’s complement, we get ____________
a) 1101100
b) 011101
c) 11010101
d) 11010111

Answer: b
Explanation: Steps For Subtraction using 2’s complement are:
-> 2’s complement of the subtrahend is determined and added to the minuend.
-> If the result has a carry, then it is dropped and the result is positive.
-> Else, if there is no carry, then 2’s complement of the result is found out and a ‘-’ sign preceeds the result.

      1’s complement of subtrahend -              1 1 0 0 1 1
                                                _________________
                           Minuend -              1 0 1 0 0 1
      2’s complement of subtrahend -              1 1 0 1 0 0
                                                _________________
                        Carry over -    1         0 1 1 1 0 1 
 
Answer: 011101

6. On addition of 28 and 18 using 2’s complement, we get ____________
a) 00101110
b) 0101110
c) 00101111
d) 1001111

Answer: b
Explanation: Steps for Binary Addition Using 2’s complement:
-> The binary equivalent of the two numbers are obtained and added using the rules of binary addition.

Augend -        0   0 1 1 1 0 0  
 
Addend -        0   0 1 0 0 1 0 
               _________________
		0   1 0 1 1 1 0 
 
 
Answer: 0  1 0 1 1 1 0

7. On addition of +38 and -20 using 2’s complement, we get ____________
a) 11110001
b) 100001110
c) 010010
d) 110101011

Answer: c
Explanation: Steps for Binary Addition Using 2’s complement:
-> The 2’s complement of the addend is found out and added to the first number.
-> The result is the 2’s complement of the sum obtained.

                     Augend -           0 1 0 0 1 1 0  
2’s Complement of Subtrahend:           1 1 0 1 1 0 0 
                                      _________________
                              1         0 0 1 0 0 1 0 
 
Answer: 0 1 0 0 1 0

8. On addition of -46 and +28 using 2’s complement, we get ____________
a) -10010
b) -00101
c) 01011
d) 0100101

Answer: a
Explanation: The BCD form is written of the two given numbers, in their signed form. After which, normal binary addition is performed.
Augend is 28 and Subtrahend is -46.

                            Augend -           0 0 1 1 1 0 0   .....(a)
      2’s Complement of Subtrahend:            1 0 1 0 0 1 0   .....(b)
                                              _________________
               Addiing (a) and (b):            1 1 0 1 1 1 0  
Since, there is no carry, so answer will be negative 
and 2's complement of the above result is determined.                 
		                               0 0 1 0 0 0 1 
		                           +               1
                                             _________________
		                               0 0 1 0 0 1 0                 
 
 
Answer: - 1 0 0 1 0

9. On addition of -33 and -40 using 2’s complement, we get ____________
a) 1001110
b) -110101
c) 0110001
d) -1001001

Answer: d
Explanation: The BCD form is written of the two given numbers, in their signed form. After which, normal binary addition is performed.
Augend is -40 and Subtrahend is -33.

                            Augend -           1    0 1 0 0 0 0 1   .....(a)
      2’s Complement of Subtrahend:            1    1 0 1 1 0 0 1   .....(b)
                                              ______________________
               Addiing (a) and (b):           1 0   1 0 0 1 0 0 0  
Since, there is no carry, so answer will be negative 
and 2's complement of the above result is determined. 
		                               1 0 0 1 0 0 0
		                           +               1
                                             _________________
		                               1 0 0 1 0 0 1    
 Answer: -1001001

10. On subtracting +28 from +29 using 2’s complement, we get ____________
a) 11111010
b) 111111001
c) 100001
d) 1

Answer: d
Explanation: Steps For Subtraction using 2’s complement are:
-> 2’s complement of the subtrahend is determined and added to the minuend.
-> If the result has a carry, then it is dropped and the result is positive.
-> Else, if there is no carry, then 2’s complement of the result is found out and a ‘-’ sign preceeds the result.

         1’s complement of subtrahend -        1 0 0 0 1 1
 			      Minuend -        0 1 1 1 0 1  
         2’s complement of subtrahend -        1 0 0 1 0 0
                                             ____________________
 
                           Carry over -    1   0 0 0 0 0 1 
 
Answer: 000001 = 1

« Prev – Digital Circuits Questions and Answers – Arithmetic Operation
» Next – Digital Circuits Questions and Answers – 1’s, 2’s, 9’s & 10’s Complements – 2

Tags: , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , ,

Related posts

4 thoughts on “Digital Circuits Questions and Answers – 1’s, 2’s, 9’s & 10’s Complements – 1”

  1. cheap vpn options

    Will you be in quest of A reasonable and dependable VPN support supplier?

    Surf intelligent VPN gives a few of The most cost effective selections with no
    sacrificing excellent – the truth is they boast a few of the most Value-powerful affordable VPN solutions on present currently.

    But you could be inquiring: what is the cheapest VPN and the
    amount does VPN Expense? At Surf Sensible VPN, their significant-good quality expert
    services start as small as a few pounds each month –
    really very affordable! Furthermore with various pricing designs accessible, you are absolutely sure to seek
    out a little something appropriate for both your preferences
    and budget!

    Surf intelligent VPN stands out as The most affordable out there, while
    also giving some of the most inexpensive choices for a number of products.
    Their VPN companies are ideal for use across telephones, tablets, laptops, and desktop desktops with no incurring added rates
    or hidden charges.

    Are you presently A Netflix Lover? No Problems!
    Surf Good VPN also offers the best, Expense-productive VPN for Netflix with top rated-of-the-line encryption know-how to provide access
    to all of your favorite shows and movies from any locale with no limits or buffering troubles.

    Exactly what are you looking ahead to? Sign on with Surf intelligent VPN now and encounter among The most cost effective and very
    best low-cost cheap vpn options services obtainable!
    https://surfsmartvpn.co.uk/

    Reply
  2. www.provenexpert.com

    Will you be in search of A reasonable and dependable VPN services company?
    Surf intelligent VPN gives many of The most affordable
    solutions with out sacrificing top quality – in fact they boast many of the
    most Value-effective cheap VPN solutions on offer you nowadays.

    But you may well be asking: what is The most cost effective VPN and how much does VPN Charge?
    At Surf Sensible VPN, their large-good quality products
    and services start as very little as a number of pounds a month – certainly very affordable!
    Moreover with different pricing ideas obtainable, you happen to be certain to uncover one thing ideal for
    each your needs and finances!

    Surf intelligent VPN stands out as the cheapest offered,
    whilst also supplying a number of the most very affordable options for a number of devices.
    Their VPN expert services are ideal for use across phones, tablets, laptops, and desktop computers with out incurring excess fees or hidden service fees.

    Are You A Netflix Lover? No Concerns! Surf Smart VPN
    also offers the proper, Expense-successful VPN for Netflix with
    top rated-of-the-line encryption technological innovation to provide use of all of your preferred
    exhibits and flicks from any locale devoid of limits
    or buffering difficulties.

    What exactly are you waiting for? Sign up with Surf smart
    VPN now and experience one among The most cost effective and very best cheap vpn for multiple devices (http://www.provenexpert.com) low cost VPN companies offered!

    https://surfsmartvpn.co.uk/

    Reply
  3. sbobet88-online.com

    Definitely imagine that which you stated. Your favourite justification seemed to be on the internet the simplest factor
    to bear in mind of. I say to you, I certainly get annoyed while other folks think about worries
    that they just don’t understand about. You managed to
    hit the nail upon the top as smartly as outlined out the whole thing without
    having side effect , other folks could take a signal.
    Will likely be again to get more. Thanks

    Reply
  4. Furlongs Car wash

    You really make it seem so easy with your presentation but I find this matter to be
    really something which I think I would never understand.
    It seems too complicated and very broad for me. I’m looking forward for your next post,
    I’ll try to get the hang of it!

    Reply

Leave a Comment

Your email address will not be published. Required fields are marked *

Scroll to Top
%d bloggers like this: