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 are the exceptions encountered for fp operation, What are the exceptio...

What are the exceptions encountered for FP operation? The exceptions encountered for FP operation are overflow, underflow. /0, inexact and invalid values.

Other equivalences, Equivalences: In this following miscellaneous equi...

Equivalences: In this following miscellaneous equivalence rules are often useful during rewriting sessions. So there the first two allow us to completely get rid of implicatio

Arrays of any size, Modify your program so that the line "int numStones = u...

Modify your program so that the line "int numStones = ui.readStones();" in the Game constructor is considered. Depending on the value of numStones read from the user, you should cr

What are different edi components and edi services, What are different EDI ...

What are different EDI components and EDI services? Different EDI components and EDI services are illustrated as: Three main components including services in EDI System are

What is the mips assembly code, Question: (a) Using an appropriate dia...

Question: (a) Using an appropriate diagram, illustrate the structure of an instruction used for branching purposes and state the purpose of each part. (b) Given the number

What is a lambda expression, A Lambda expression is not anything but an Ano...

A Lambda expression is not anything but an Anonymous Function, can have expressions and statements. Lambda expressions can be used mostly to make delegates or expression tree types

Explain the various interface circuits, Explain the various interface circu...

Explain the various interface circuits.  An I/O interface having of circuitry required to connect an I/O device to computer bus. One side having of a data path with its associa

What is macro, A series of keystrokes and mouse clicks that can be abbrevia...

A series of keystrokes and mouse clicks that can be abbreviated into a one keystroke or mouse click.

Define the difference between static ram and dynamic ram, Define the differ...

Define the difference between static RAM and dynamic RAM? The RAM family comprises two important memory devices that are static RAM (SRAM) and dynamic RAM (DRAM). The main diff

Performance analysis, In order to calculate the performance of the program,...

In order to calculate the performance of the program, the normal form of analysis of the program is to simply measure the total amount of CPU time needed to implement the various p

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