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

Command mode using vi editor, What does the c$ command do from command mode...

What does the c$ command do from command mode using Vi Editor? Ans) C$ will start from the character under the curser till the finish of line. So when you use this command it wi

Describe the various signalling techniques, Describe the various signalling...

Describe the various signalling techniques. Signaling systems link the variety of transmission systems, switching systems and subscriber elements in telecommunication network

Visual basic applications in general context, Describe some general uses fo...

Describe some general uses for Visual basic applications in general context? Ans) Visual basic can be used within almost all Microsoft products such as Map point, Visio, Auto ca

The pre-generated selection screen, With LDB one can change the pre-generat...

With LDB one can change the pre-generated selection screen to their needs Yes with LDB one can alter the pre-generated selection screen.

In virtual memory system addresses used by the programmer, In a virtual mem...

In a virtual memory system, the addresses used by the programmer refers to  (A) Memory space.               (B) Physical addresses.   (C) Address space.                (D) M

What is pure virtual function, A class is made abstract by declaring one or...

A class is made abstract by declaring one or more of its virtual functions to be pure. A pure virtual function is one with an initializer of = 0 in its declaration

Advantages on electronic payment system, Advantages on electronic payment s...

Advantages on electronic payment system It gives good security schemes.  Four necessary security requirements for safe e-payments are Authentication, Encryption, Integrity,

Enumerate the design reusability of vhdl, Enumerate the Design reusability ...

Enumerate the Design reusability of VHDL VHDL.  Functions  and  Procedures  may  be  placed  in  a  package  so  that  they  are  available  to  any design-unit which wishes t

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