Determine Boolean identities using Boolean algebra, Computer Engineering

Assignment Help:

Prove the following identities
 
a. A
‾B‾C‾ + A‾BC‾ + AB‾C‾ + ABC‾ = C
b. AB + ABC + A
‾ B + AB‾C = B + AC

Ans.

a. LHS = A'B'C' + A'BC' + AB'C' + ABC'
= A'C' (B' + B) + AC' (B' + B)
= A'C' + AC'   [as B'+B = 1]
= C' (A' + A)
= C'                   [since A'+A =1]
= RHS.
Thus Proved

b. LHS = AB + ABC + A'B + AB'C

= B + AC
= B (A + A') +  AC (B + B')
= B + AC   [as B + B' = A + A' = 1]
= B + AC
= RHS.
Thus Proved


Related Discussions:- Determine Boolean identities using Boolean algebra

Write a program to check give word is a palindrom or not, Write a program t...

Write a program to check whether a given word is a palindrome or not? # include # include void main() { char word[10]; int length=0,mid,count=0; clrscr();

What is a single stage network, In a single stage network: (A) ...

In a single stage network: (A)  There is no redundancy (B)  There is redundancy (C)  Alternative cross points are available (D)  Alt

Explain the wap stack in brief, Discuss the WAP stack in brief. The pro...

Discuss the WAP stack in brief. The protocol stacks part implemented by WAP Stack for the WAP development and research platform. The protocol stack will be exploited into many

Visibility, hidden edge/surface removal

hidden edge/surface removal

Describe the various characteristics of udp protocol, Describe the various ...

Describe the various characteristics of UDP protocol. The characteristics of the UDP are as follows: End to end: UDP is transport protocols that can distinguish between

Difference between static and dynamic RAM, Difference between static and dy...

Difference between static and dynamic RAM. Draw the circuits of one cell of each and explain its working. Ans: Differentiation among Static RAM and Dynamic RAM: Static

Name the 7400 series TTL chip, Name the 7400 series TTL chip which is a pri...

Name the 7400 series TTL chip which is a priority encoder. Write its truth table.  Ans. Available IC in 74 series is 74147 that is a priority encoder. Such I

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