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

Illustrate about direct addressing mode, Q. Illustrate about Direct Address...

Q. Illustrate about Direct Addressing mode? In this technique operand field of instruction specifies direct address of intended operand for example if instruction LOAD 500 uses

Explain batch operating systems, Explain Batch operating systems. Batc...

Explain Batch operating systems. Batch operating systems : A batch is a sequence of jobs. Such batch is submitted to batch processing operating systems moreover output would s

What do you mean by manual assembly, Q. What do you mean by Manual Assembly...

Q. What do you mean by Manual Assembly? It was an old method which required the programmer to translate every opcode in its numerical machine language representation by search

Mpi communications, We have to use 3 MPI communications: Plz the code in C+...

We have to use 3 MPI communications: Plz the code in C++     1.  MPI_Scatter 2.  MPI_Alltoall 3.  MPI_Gather     **The length of the array will be determined by the user Fir

Find the boolean expression for boolean algebra, Find the Boolean expressio...

Find the Boolean expression for logic circuit shown in Figure below and reduce it using Boolean algebra. Ans. Y = (AB)' + (A' + B)' = A' + B' + AB' by using Demorgan's Theorem. =

Why is cloud computing important, Why is Cloud Computing important? The...

Why is Cloud Computing important? There are many implication of cloud technology, for both developers and end users. For developers, cloud computing gives increased amounts of

.., 1mechanism of artificial satellite

1mechanism of artificial satellite

How do subroutines help in program writing, How do subroutines help in prog...

How do subroutines help in program writing? Some of the significant characteristics of Subroutine that help in program writing are: A subroutine is named, each have a

Flowchart, how can we find compound interest through flowchart

how can we find compound interest through flowchart

Hybrid model, The hybrid models are mostly tailormade models suiting to exa...

The hybrid models are mostly tailormade models suiting to exact applications. Actually these fall in the category of mixed models. Such type of application-oriented models keep cro

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