Obtain 1''s and 2''s complement, Computer Engineering

Assignment Help:

Obtain 1's and 2's complement of 1010 using only four-digit representation.

Solution:

1's complement: 1's complement of 1010 is 

846_Obtain 1s and 2s complement.png

Please note that wherever you have a digit 1 in number then complement contains 0 for that digit and vice versa. In other words to get 1's complement of a binary number we only have to change all 1's of the number to 0 and all zeros to 1's. This can be done by complementing every bit of binary number.

2's complement: 

Adding 1 in 1's complement will produce 2's complement

493_Obtain 1s and 2s complement1.png

The 2's complement can also be getting by not complementing least significant zeros till first 1 is encountered. This 1 is also not complemented. After this 1 rest of all bits are complemented on left.

Consequently 2's complement of given number (using this method) must be (you can check it by obtaining 2's complement as we have done in the illustration).


Related Discussions:- Obtain 1''s and 2''s complement

Queue depth should be greater than zero, Tell me which queue having present...

Tell me which queue having present queue depth should be greater than zero? Ans) Event queues Open MQ Explorer by selecting Start > Programs > IBM WebSphere MQ > WebSphere

Determine the boolean expression using k-map, Reduce the following equation...

Reduce the following equation using k-map Y = BC‾D‾ + A‾BC‾D + ABC‾D + A‾BCD + ABCD Ans. Multiplying the first term with (A+A') Y = A'BC'D' + ABC'D' + A'BC'D + ABC'D + A'BCD +

Page translation table, Make a page translation table the meets the require...

Make a page translation table the meets the requirements of the virtual memory system given below.  Suppose page (and frame) sizes of 20 with pages 0 by 3 in logical memory and fra

The advantage of using a database management system, The advantage of using...

The advantage of using a Database Management System The advantage of using a Database Management System for a data store is that databases have mechanisms for describing data,

How to make frames for web documents, Q. How to make frames for web documen...

Q. How to make frames for web documents? Intelligent use of frames can give your pages a cleaner look and make easier to navigate. The fundamental concept goes like this: Every

Explain turing reducibility, Explain Turing reducibility?  Exponential ...

Explain Turing reducibility?  Exponential time algorithms typically happens when we solve by searching by a space of solutions known as brute -force search

Directory of the distribution, I tried to run two of the applets in the exa...

I tried to run two of the applets in the examples directory of the distribution?    Ans) I tried to run two of the applets in the example directory of the distribution. I instal

What is full form of bdc session, What is full form of BDC Session? Bat...

What is full form of BDC Session? Batch Data Communication Session.

., advantages and disadvantages of a header node

advantages and disadvantages of a header node

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd