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

Stencil duplicating, Stencil Duplicating Equipment Required Stenci...

Stencil Duplicating Equipment Required Stencil Duplicator Thermal copier (optional) Electronic stencil cutter Materials Stencil COPY paper Ink Clean

Implementation of BUS, Q. Implementation of BUS Construction of a bus s...

Q. Implementation of BUS Construction of a bus system for four registers employing 4×1 multiplexers is displayed below. Every register has four bits which are numbered 0 throug

Explain debug monitors, Explain Debug monitors. Debug monitors give d...

Explain Debug monitors. Debug monitors give debugging support for a program. A debug monitor executes the program being debugged in its own control thereby giving execution e

Performance and issues in pipelining-efficiency, Performance and Issues in ...

Performance and Issues in Pipelining Efficiency:  The efficiency of a pipeline can be calculated as the ratio of busy time span to the entire time span including the idle time

What is a work process, What is a work process? A work process is where ...

What is a work process? A work process is where individual dialog steps are in fact processed and the work is done.  Every work process ocuurs one type of request.

Write a program to find the area under the curve y = f(x) be, Write a progr...

Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b

Stack operation and interrupts in microprocessor, Let us review the operati...

Let us review the operation of the stack within the 68HC11, the stack is a defined area of RAM which is last in first out register (LIFO) . Access to the stack is made via a stack

What is sorted linked list, Linked list means node which is linked each oth...

Linked list means node which is linked each other with  a line. It means that every node is connected with another one. Every node of the list hold the reference of the next node.

IEEE802, 1. (a) Given a baseband bus with station 1 located at 10m, station...

1. (a) Given a baseband bus with station 1 located at 10m, station 2 located at 1000m, and station 3 located at 1010 meters (see diagram above). If the data rate of the bus is 10 M

Limitation identified in amdahls law, Q. Limitation identified in Amdahls l...

Q. Limitation identified in Amdahls law? There is one main limitation identified in Amdahl's law. As said by Amdahl's law workload or problem size is forever fixed as well as n

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