Prove equations by using the boolean algebraic theorems, Computer Engineering

Assignment Help:

Prove the equations using the Boolean algebraic theorems that is given below
A‾BC + AB‾C + ABC‾+ ABC = AB + BC + AC


Ans. The equation given is A‾BC + AB‾C + ABC‾+ ABC = AB + BC + AC
L.H.S = A‾BC + AB‾C + ABC‾+ ABC
= A‾BC + AB‾C + AB (C +C‾)
= A‾BC + AB‾C + AB (Q C + C‾ = 1)
= A‾BC + A (B + B‾C)
= A‾BC + A (B + C) (? B + B‾C = B + C)
= A‾BC + A B + AC
= C (A + A‾B) + AB + AC
= C (A + B) + A B + AC (? A + A‾B = A + B)
= AC + BC + AB + AC
= AB + BC + AC (? AC + AC = AC)
= R.H.S Thus Proved


Related Discussions:- Prove equations by using the boolean algebraic theorems

What is a program counter, It is a 16 bit special function register in the ...

It is a 16 bit special function register in the 8085 microprocessor. It remains track of the next memory address of the instruction that is to be implemented once the implementatio

DATA DICTIONARY, DATA DICTIONARY ON ONLINE QUIZ SYSTEM

DATA DICTIONARY ON ONLINE QUIZ SYSTEM

Define program counter, Define Program Counter(PC) The Program Counter ...

Define Program Counter(PC) The Program Counter holds the address of the next instruction to be read from memory after the current instruction is implemented.

Determine about the security policy, Determine about the Security Policy ...

Determine about the Security Policy In the United States, the government has a separate organisation looking after the security measures and providing guidelines to all departm

How to get the column count of a report, How to get the column count of a r...

How to get the column count of a report? SY-LINSZ system variable gives the column count (line size) and SY-LINCT for line count.

Labels in the sub trees, A sorting method which uses the binary tree concep...

A sorting method which uses the binary tree concept such that label of any node is larger than all  the labels in the sub trees, is called A Sorting method which uses the binar

Explain about the term- video conferencing, Video Conferencing Video co...

Video Conferencing Video conferencing continues to grow in popularity. Why is this? Some reasons are listed below: - Communication links are now much faster thus sound quali

What is radium utilized for, Q. What is radium utilized for? Answer:- ...

Q. What is radium utilized for? Answer:- Radium was previously used in self-luminous paints for nuclear panels, watches, clocks, aircraft switches and instrument dials. In

What is an algorithm, What is an algorithm The solution to any problem ...

What is an algorithm The solution to any problem that is stated by an exact number of well-defined procedural steps is known as an algorithm.

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