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 is called when a program is in execution, A program in execution is ca...

A program in execution is called?  Ans. When a program in execution is known as Process.

8259 PIC, plz expalain interfacing of 8259 with 8085 step wise

plz expalain interfacing of 8259 with 8085 step wise

Assembler, Assembler: Typically a modern assembler makes object code b...

Assembler: Typically a modern assembler makes object code by translating assembly instruction into op codes, & by resolving symbolic names for memory locations and any other e

How e-commerce website works, Procedure The only difference between e-...

Procedure The only difference between e-commerce and conventional commerce is that goods in e-commerce are purchased over the internet using a credit card. Also buying and sel

In pram model steps required for executing an algorithm, Q. In PRAM model s...

Q. In PRAM model steps required for executing an algorithm? Subsequent steps are performed by a PRAM model whenever executing an algorithm: i) Read phase: First the N proc

Anti reflection coating, expression for thickness and refractive index of c...

expression for thickness and refractive index of coating material to act as anti reflection coating

Subprogram to output the result, Input a list of positive numbers (terminat...

Input a list of positive numbers (terminated by 0) into an array. Find the largest number in the array, and into the result. Use a subprogram to input the numbers, a function to fi

Evaluation stack architecture, Q. Evaluation Stack Architecture? A stac...

Q. Evaluation Stack Architecture? A stack is a data structure which implements Last-In-First-Out (LIFO) access policy. You can add an entry to the with a PUSH(value) as well as

Presentation of the report, This will be based on presentation of the repor...

This will be based on presentation of the report, complexity of the task, degree of completion and uniqueness of your problem.  As a part of this question, you should also inclu

Different types of layers in tcp/ip protocol stack, What are the different ...

What are the different types of layers in TCP/IP protocol stack? Layers into the TCP/IP protocol architecture are as given below: • Application Layer, • Host-to-Host Tra

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