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

Android projects, how should I do connectivity with google play for my andr...

how should I do connectivity with google play for my android GSM based project

No class can derive, Make a console application. Add class 'Account' having...

Make a console application. Add class 'Account' having variables as num (integer) name (String), bal (double), ac_code (byte). Describe four different constructors to initialize th

Define process control block, Define Process Control Block (PCB). Pr...

Define Process Control Block (PCB). Process Control Block (PCB): Information related with each process is stored into Process control Block. a)      Process state b)

What are drawbacks of electronic data interchange processes, What are the d...

What are the drawbacks of Electronic Data Interchange processes? Disadvantages of EDI processes are given below: 1. The X12 standard is so huge and general 2. Electron

What is tri-state logic, What is Tri-state logic ? Ans. Tri-state Logi...

What is Tri-state logic ? Ans. Tri-state Logic: In common logic circuits, there are two states of the output, as LOW and HIGH. If the output is not in the LOW state, this

Control signals from control bus, Control Signals from Control Bus: A numb...

Control Signals from Control Bus: A number of the control signals are provided to control unit by the control bus. These signals are issued from outside the CPU.  Some of these si

Describe how a mobile terminating call, Problem: (a) Describe how a Mob...

Problem: (a) Describe how a Mobile Terminating call, from a PSTN phone, is processed in a GSM network. Illustrate your answer with a diagram. (b) What is a GPRS Support node

Describe COMS inverter, Describe CMOS inverter. Ans: CMOS inverter t...

Describe CMOS inverter. Ans: CMOS inverter that is also called Complementary MOSFET Inverters, are several of the most broadly used and adaptable MOSFET inverters utilized i

How codes represent data for scientific calculations?, Q. How codes represe...

Q. How codes represent data for scientific calculations? How codes are in fact used to represent data for scientific calculations? The computer is a discrete digital device

What is control store, What is control store? The microroutines for all...

What is control store? The microroutines for all the instructions in the instruction set of a computer are kept in a special memory known as the control store.

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