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

TITLE: Signals for digital communications, DETERMINE ANALYTICALY IF THE SIG...

DETERMINE ANALYTICALY IF THE SIGNAL IS PERIODIC OR NOT - X[n] = 4Cos(Pi n)

Evaluate expression by using convention , Evaluate x = A ‾.B + C ( ) usin...

Evaluate x = A ‾.B + C ( ) using the convention A = True and B = False. Ans. Simplify given expression x = A ‾ .B + C ( ) as = A ‾ B + C (A ‾ + D ‾ ) (As = A ‾ +D ‾ usin

JSP, What is java server pages

What is java server pages

How can we send data to external programs, How can we send data to external...

How can we send data to external programs? Using SPA/GPA parameters(SAP memory). Using EXPORT/IMPORT data (ABAP/4 memory)

Write the program to use arrays, In class SlotCollection, remove the fields...

In class SlotCollection, remove the fields slot1, slot2, slot3 and slot4 and replace them by an array of slots. Modify the rest of the program to work using this array. There is

What are spa/gpa parameters (sap memory), What are SPA/GPA parameters (SAP ...

What are SPA/GPA parameters (SAP memory) SPA/GPA parameters are field values saved globally in memory.  There are two ways to use SPA/GPA parmeters: By setting field attrib

Project, give sample prepaired software?

give sample prepaired software?

Disadvantages of address translation, Disadvantages of Address translation:...

Disadvantages of Address translation: Disadvantages are following: A program that is too large to be held in a part needs some special design, that called overlay

Enumerate the history of computers, Enumerate the History of computers ...

Enumerate the History of computers Basic information about technological development trends in computer in past and its projections in future. If you want to know about compute

Threads model - parallel programming model, In this model a one process can...

In this model a one process can have multiple, concurrent implementations paths. The major programs are scheduled to run by the native operating system. It loads and obtains all th

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