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

Levels of parallel processing, Levels Of Parallel Processing Depending ...

Levels Of Parallel Processing Depending upon the difficulty under consideration, parallelism in the answer of the problem may be achieved at dissimilar levels and in different

Explain about end-user computing, End-user Computing: The growing base of p...

End-user Computing: The growing base of personal computers and local area networks in the end user community are supported. This offers installation services, training and helps de

Dbms, write er diagram for company database

write er diagram for company database

How do you control instructions like branch, How do you control instruction...

How do you control instructions like branch, cause problems in a pipelined processor? Pipelined processor gives the best throughput for sequenced line instruction. In branch in

How to calculate colour depth, Q. How to calculate Colour Depth? Colour...

Q. How to calculate Colour Depth? Colour Depth (or number of Colour Planes) is number of bits assigned to every pixel to code colour information in it. These are also known as

Explain combinational logic circuits, Explain Combinational logic circuits ...

Explain Combinational logic circuits Ans. Combinational logic circuits:- (i) Outputs only depend upon present state of the input. (ii) No memory element present or no f

Transfer of control, Question a) Name and explian the four essential ...

Question a) Name and explian the four essential elements of a machine instruction. b) Provide any four common examples of mnemonics. c) The level of disagreement conce

Building is into our operational processes, Building IS into our operationa...

Building IS into our operational processes - Information System Although information systems are becoming increasingly prevalent they are not always the correct solution to ev

Explain about computer architecture, Explain about Computer architecture ...

Explain about Computer architecture Computer architecture is the conceptual design and fundamental operational structure of a computer system. It is a blueprint and functional

Define the working of flip flops, Define the working of Flip Flops? Fli...

Define the working of Flip Flops? Flip flop is the basic unit of storage this is used to store one bit of information. Flip-flops are the synchronous bistable devices. The term

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