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

Web services method, Why cant datareader be returned from a Web Services Me...

Why cant datareader be returned from a Web Services Method? Ans) Because datareader is not serializable.

How the simulation is done, How the simulation is done Data is entered ...

How the simulation is done Data is entered into the computer and simulation is run. The below scenarios may be tried out: -  Timing of lights varied to see how traffic flow

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

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. The area under a curve between two points can b

What are threaded binary trees, What are threaded binary trees? A Threa...

What are threaded binary trees? A Threaded Binary Tree is a binary tree in which each node that does not have a right child has a THREAD (in real sense, a link) to its INORDER

Explain the fixed logic versus programmable logic, Explain the Fixed Logic ...

Explain the Fixed Logic Versus Programmable Logic? The Logic devices can be classified into two broad categories - fixed and programmable. The same as the name suggests, the ci

Two different ways of building a match code object, What are the two differ...

What are the two different ways of building a match code object? A match code can be built in two dissimilar ways: Logical structure: The matchcode data is set up not pe

Show the characteristic of cache memory, Q. Show the characteristic of cach...

Q. Show the characteristic of cache memory? The essential characteristic of cache memory is its fast access time. So very little or no time should be wasted when searching for

Explain the recording mode for web vuser script, We use VuGen to make a Vus...

We use VuGen to make a Vuser script by recording a user performing typical business processes on a customer application. VuGen makes the script by recording the activity among the

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