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

Explain the significance of encryption, Problem: (i) What are the main...

Problem: (i) What are the main threats that an organisation holding sensitive data, such as Public Data, on computer storage must guard against? (ii) To protect such data,

Discuss primary elements of supply chain management models, Discuss the pri...

Discuss the primary elements of Supply Chain Management models. Primary Elements of Supply Chain Management Models are discussed in below: They are fundamentally concerned a

Explain about registers, Q. Explain about Registers? A register is a gr...

Q. Explain about Registers? A register is a group of flip-flops that store binary information and gates that controls when and how information is transferred to register. An n-

Secret-key encryption, Secret-key encryption is also called as Private ...

Secret-key encryption is also called as Private encryption.

Discuss the advantages of expression tree, Discuss its advantages over the ...

Discuss its advantages over the other evaluation techniques. The expression tree is determined by using a post-order traversal of the expression tree as given here: 1. If such

Prolog artificial intelligence , 1. countdown Example: countdown(5,[5,4,3,2...

1. countdown Example: countdown(5,[5,4,3,2,1]).  NOTE - your function should be able to answer questions such as: ?- countdown(5,L).  2. count_occur Example: count_occur(7,[5,2,6

What is EDO RAM, What is EDO RAM A minor modification to the structure ...

What is EDO RAM A minor modification to the structure of the DRAM changes the device into an EDO (extended data output) DRAM device. In EDO memory, any memory access, including

Evaluate personality defines, Evaluate personality defines? 1. System ...

Evaluate personality defines? 1. System calls: Linux use a software interrupts to change into kernel mode whilst other UNIX system use an inter segment jump. 2. Message n

What do you mean by removable drives, A disk drive with removable disks is ...

A disk drive with removable disks is known as removable drive. A removable disk can be replaced by other similar disk on same or different computer so providing huge data storage w

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