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

Role of bitmap indexes to solve aggregation problems, Describe about the ro...

Describe about the role of bitmap indexes to solve aggregation problems? Ans) Bitmaps are very useful in begin schema to join large databases to small databases. Answer queries

What is asynchronous dram, What is asynchronous DRAM? In asynchronous D...

What is asynchronous DRAM? In asynchronous DRAM, the timing of the memory device is controlled asynchronously. A specialized memory controller circuit gives the essential contr

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

Sequential logic gates - sr flip flop, Sequential Logic Gates SR flip ...

Sequential Logic Gates SR flip flop                                                                                                                    1)

Create simple algebraic expression from k-map, Q. Create simple algebraic e...

Q. Create simple algebraic expression from K-Map? Now create simple algebraic expression from K-Map. These expressions are created by employing adjacency if we have 2 adjacent

What are the methods for handling deadlocks, What are the methods for handl...

What are the methods for handling deadlocks?  The deadlock problem can be dealt with in one of the three ways:  a. Use a protocol to prevent or avoid deadlocks, make sure th

Use string manipulating functions , Write a script that will first initiali...

Write a script that will first initialize a string variable that will kept x and y coordinates of a point in the form 'x 3.1 y 6.4'.  Then, use string manipulating functions to ext

How to make frames for web documents, Q. How to make frames for web documen...

Q. How to make frames for web documents? Intelligent use of frames can give your pages a cleaner look and make easier to navigate. The fundamental concept goes like this: Every

Conversion of fractional number into its binary number, Conversion of fract...

Conversion of fractional number 0.6875 into its equivalent binary number ? Ans. Multiply the fractional number 0.6875 with 2 until the remainder becomes 0 that is, Ther

Hubs are present in the network, Hubs are present in the network To inte...

Hubs are present in the network To interconnect the LAN with WANs.

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