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

Determine the define byte - assembler directives, Determine the Define Byte...

Determine the Define Byte - Assembler directives DB (Define Byte): DB directive defines a byte-type variable (i.e. a variable that occupies one byte of memory space). In a give

Non-repudiation achieved in designing e-cash based system, How can non-repu...

How can non-repudiation be achieved into designing e-cash based system? E-cash is fundamentally an online solution. The buyer should validate the coins by the issuer so as to g

Name the memory used in microprocessor systems, Name the fundamental kinds ...

Name the fundamental kinds of memory used in microprocessor systems There are three fundamental kinds of memory used in microprocessor systems - generallyknown asRAM, ROM, and

Explain the different sub-functions of process scheduling, Explain the diff...

Explain the different sub-functions of Process Scheduling. Process scheduling contains the subsequent sub-functions: 1. Scheduling: Chooses the process to be executed next

Disadvantages of unauthenticated sites, Disadvantages of unauthenticated si...

Disadvantages of unauthenticated sites All the Units entering the Intranet must be scrutinised to ensure that they are not coming from the unauthenticated sites or users. It a

Solve the assignment of finite automata, Solve the assignment of NFA-- Fini...

Solve the assignment of NFA-- Finite Automata and Formal Language Project Description: I have an assignment on Finite Automata and Formal Languages ( Nondeterministic Fini

What is branch folding, What is branch folding? The instruction fetch u...

What is branch folding? The instruction fetch unit has implemented the branch instruction concurrently with the implementation of other instructions. This technique is referred

What is called when distortion caused on telephone line, Distortion caused ...

Distortion caused on telephone line by an adjacent one is called (A) Cross Fire                      (B) Inductive Disturbance (C)  Cross Talk                     (D) Non

Which one logic gate can generate any logic function, A universal logic gat...

A universal logic gate is one, which can be used to generate any logic function.  Which one is a universal logic gate? Ans. NAND gate is a universal logic gate; it can generate

Pci bus transactions - computer architecture, PCI bus transactions: PC...

PCI bus transactions: PCI bus traffic is prepared of a series of PCI bus transactions. Each transaction is build up of an address phase that is followed by 1 or more data phas

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