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

Dbms, documentation for dbms report

documentation for dbms report

An example of the subscriber traffic in erlangs, A subscriber makes three p...

A subscriber makes three phone calls of 3 minutes, 4 minutes and 2 minutes duration in a one hour period. Calculate the subscriber traffic in erlangs, CCS and CM. Subscriber tr

Exit the loop on end-of-file, Continuing in main, write a loop that will re...

Continuing in main, write a loop that will read from the ifstream that reads enough information to  create a person object (i.e. first name, last name, and weight).  Exit the loop

BCD ADDER, create a BCD adder combinational ckt. that adds 2 digit BCD inpu...

create a BCD adder combinational ckt. that adds 2 digit BCD inputs

Standards for scan codes, Q. Standards for scan codes ? There are 3 sta...

Q. Standards for scan codes ? There are 3 standards for scan codes: Mode1 (83-key keyboard PC, PC-XT) and Mode2 (84-key AT keyboard) and Mode3 (101-key keyboard onwards). In Mo

Basic architecture of computer system, Q. Basic Architecture of computer sy...

Q. Basic Architecture of computer system? Replacing the ALU and CU (i.e., CPU) of Figure by a microprocessor, and storing instructions and data in the same memory, one arrives

How the simulation is done, How the simulation is done Data is entered ...

How the simulation is done Data is entered into the computer and simulation is run. The below scenarios may be tried out: -  Timing of lights varied to see how traffic flow

Describe some of applications of buffer, Describe some of applications of b...

Describe some of applications of buffer? Applications of buffer: a. They are utilized to introduce tiny delays. b. They are utilized to eliminate cross talk caused becaus

Explain the term- wire and register, What is the difference between wire an...

What is the difference between wire and reg? Net types: (wire,tri)Physical connection between structural elements. Value assigned by a continuous assignment or a gate output.

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