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 are the probabilities that the patient has the virus, In a clinic 0.15...

In a clinic 0.15 of the patients have got the HIV virus. Assume a blood test is carried out on a patient. If the patient has got the virus the test will turn out positive with prob

Minimize the logic function using NAND gate, Minimize the logic function F(...

Minimize the logic function F(A, B, C, D) = ∑ m(1,3,5,8,9,11,15) + d(2,13) using NAND gate with help of K-map. Ans. Realization of given expression by using NAND gates:  In

Compiling and running the pvm program, Now we will learn how to compile and...

Now we will learn how to compile and run PVM programs. To compile the program change to directory pvm/lib/archname where archname is architecture name of your computer. Then the su

Microprocessors and interfaces, #question.write cycle timing diagram for ma...

#question.write cycle timing diagram for maximum mode of 8086 microprocessor.

What are the data types of the external layer, What are the Data types of t...

What are the Data types of the external layer? The Data types of the external layer are :- ACCP, Char, CLNT, CUKY, CURR, DATS, DESC, FLTP, INT1, INT2, INT4, LANG, LCHR, L

The concept of electronic cash, The concept of electronic cash is to implem...

The concept of electronic cash is to implement payment by Using computers over network

What will be the output of JK flipflop for J = 0 and K=1, For JK flipflop J...

For JK flipflop J = 0, K=1, the output after clock pulse will be ? Ans. J=0 and K=1, such inputs will reset the flip-flop, after the clock pulse. Therefore whatever be the earlie

Design a memory buffer of limited size, Extend task 1 so that it now suppor...

Extend task 1 so that it now supports a memory buffer of limited size. Provide the same functionality as task 1 except now make the server work with a limited buffer size. Like

Placement algorithm - process allocation, Placement algorithm - computer ar...

Placement algorithm - computer architecture: Different strategies can be taken as to how space is allocated to processes: First fit : Allocate the first hole that is la

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