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 blocks of microprocessor based system, What are the blocks of ...

What are the blocks of microprocessor based system 1.  The Memory and I/O System 2.  The DOS Operating System 3.  The Microprocessor

Low on the data-input line, For the 8-bit bidirectional register in Figure ...

For the 8-bit bidirectional register in Figure 3, verify the status of the register after every clock pulse for the LEFT RIGHT /control waveform given. A HIGH on this input permits

What are the different types of distributing frames, What are the different...

What are the different types of distributing frames used in exchanges? The various distribution frames used in exchange are demonstrated in figure. Every subscriber in a telep

#title.sequential circuit, design modulo 12 up synchronous counter using t ...

design modulo 12 up synchronous counter using t flip flop

Write program to simulate conversation with an old and deaf, You are going ...

You are going to write a program to simulate a conversation with an old, deaf relative. You can type your statements, and whatever you say, the relative will reply randomly with on

Basic concept of data parallelism, Basic Concept of Data Parallelism T...

Basic Concept of Data Parallelism Thinking the condition where the same problem of submission of „electricity bill? is Handled as follows: Again, three are counters. Howeve

Name at least six file extensions of microsoft access, Some of the file ext...

Some of the file extensions present in MS Access are ? Access blank project template .adn ? Access database .accdb ? Access Workgroup .mdw ? Access project .adp ? A

E brokerage facilitates search & retrieval of information, E Brokerage faci...

E Brokerage facilitates search & retrieval of Information The success factor of a brokerage is its ability to retain existing clients and to enhance their satisfaction by effec

Menu driven program with following menu, Q.  Develop a Menu driven program ...

Q.  Develop a Menu driven program with following menu: 1.  Gray code 2.  BCD 3.  Excess-3 code 4.  Exit I/P must be a valid Binary number. Fractional numbers are all

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