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

Padovan string, how to write this program,what are the declaration and func...

how to write this program,what are the declaration and function are needed in java program in java // aakash , suraj , prem sasi kumar kamaraj college program 1 : pack

Is it possible to decrease clock skew to zero, Is it possible to decrease c...

Is it possible to decrease clock skew to zero? Describe your answer? Even if there are clock layout strategies (H-tree) which can into theory reduce clock skew to zero by havi

Replacement policy - cache memories , Replacement policy: On a particul...

Replacement policy: On a particular cache miss we require to evict a line to build room for the new line "In an A-way set associative cache, we have A option of which block

Why is xml superior to other forms of data exchange, Why is XML superior to...

Why is XML superior to other forms of data exchange? The XML gives universal data format for integrated electronic business solutions. Other database systems and Relational dat

Illustrate organisation of dram chip, Q. Illustrate Organisation of DRAM Ch...

Q. Illustrate Organisation of DRAM Chip? The given figure is a typical organisation of 16 mega bit DRAM. It displays a typical organisation of 2048 × 2048 × 4 bit DRAM chip. Me

Example of ann - artificial intelligence, Example of ANN - artificial intel...

Example of ANN - artificial intelligence: ANNs look like this:   Notice that the x, w, z and y represent actual valued weights and that every the edges in this graph

What is ale and explain the functions of ale in 8085, ALE-> Address latch e...

ALE-> Address latch enable...In the case of microcontroller (8051)& microprocessor 8085 the data line and low order 8 bit address lines are multiplexed. In order to getting address

Determine the equivalent in octal of decimal number, Convert decimal 153 to...

Convert decimal 153 to octal. Equivalent in octal will be ? Ans. (153) 10 = (231) 8

Asp and asp.net apps run at the same time on the same server, How would ASP...

How would ASP and ASP.NET apps run at the same time on the same server? Both ASP and ASP.net can be run at similar server, becuase IIS has the capability to respond/serve both

Draw a diagram to illustrate the design pattern, Problem: (a) What show...

Problem: (a) What shows a Pattern a Pattern? (b) Which pattern is given below? Justify your answer. public class A { private static A instance = null; private A() {

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