Simplify the boolean expression, Computer Engineering

Assignment Help:

Simplify the Boolean expression F = C(B + C)(A + B + C).

Ans. Simplification of the given Boolean Expression F = C (B +C) (A+B+C) given as
F = C (B+C) (A+B+C)
= CB + CC [(A+B+C)]
= CB + C [(A+B+C)]   (Q CC = C)
= CBA + CBB + CBC + CA + CB + CC
= ABC + CB + CB + CA + CB + CC  (Q CBB =CB & CBC = CB)
= ABC + CB + CA + C   (Q CB+CB+CB = CB; CC = C)
= ABC + BC + C (1+A)
= ABC + BC + C    (Q 1+A = 1)
= ABC + C (1+B)
= ABC + C   (Q 1+B = 1)
= C (1+AB) = C {Q (1+AB)=1}


Related Discussions:- Simplify the boolean expression

Minimum total number of shelv, Write a program that finds the minimum total...

Write a program that finds the minimum total number of shelv, C/C++ Programming

State and prove demorgan’s first theorems, State and prove Demorgan’s First...

State and prove Demorgan’s First theorems: Ans. Statement of First Theorem of De Morgan: = A‾. B‾   Proof: The two sides of the equation i.e. = is represented with logic

Recordable cds and dvds, Optical disk becomes an attractive alternative for...

Optical disk becomes an attractive alternative for backing up information from hard disk drives and employs large text, audio and video data. Advent of CD-ROM-R and DVD-ROM-R has b

Logical database structure, It is not essential to maintain the Parent-Chil...

It is not essential to maintain the Parent-Child relationship among the tables in Logical Database Structure. False. One has to handle the Parent-Child relationship.

Calculate the complexity of sorting algorithms, How do you calculate the co...

How do you calculate the complexity of sorting algorithms? Find the complexity of Insertion sort and Bubble Sort.                 The difficulty of sorting algorithms depends o

What is memory mapped i/o, What is memory mapped I/O? When the I/O devi...

What is memory mapped I/O? When the I/O devices share the similar address space, the arrangement is known as memory mapped I/O.

How is recursion handled internally, How is recursion handled internally? ...

How is recursion handled internally? Internally, every recursive call to a function requires storing the intermediate values of the parameters and local variables in a run time

Explain working neural network work, Q. Explain working neural network work...

Q. Explain working neural network work? ANSWER: A neural network has an input layer with the factors under consideration, a middle or hidden layer that assigns and adjusts weig

The need of parallel computation, The Need Of Parallel Computation With...

The Need Of Parallel Computation With the advancement of computer science (CS), computational speed of the processors has also improved many a time. Moreover, there is certain

Web technology, Write short notes on Event Model.

Write short notes on Event Model.

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