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

Give the decription of user case, Give the decription of user case A us...

Give the decription of user case A use case is a description of the set of the sequence of actions which a system performs to produce an observable result which is of a value t

Give regular expression for real number, Develop a regular expression for R...

Develop a regular expression for Real number and Real number with optional fraction (i) A regular expression for real number is [+ | -] (d)+. (d)+ (ii) A regular expression

List out the features of computer memory, List Out the Features of Computer...

List Out the Features of Computer Memory? Features of each type of memory   Type Volatile? Write able? Erase Size

Graph to display the variable, We will be using data from the 2008 Canadian...

We will be using data from the 2008 Canadian General Election Study.1 The data can be found on the course page. As well, there are three other documents (loosely called "codebooks"

How to work in dreamweaver?, HOW TO WORK IN DREAMWEAVER? How and Where ...

HOW TO WORK IN DREAMWEAVER? How and Where to open Dreamweaver? Step 1: Click on Start Step 2: Select Program Step 3: Select Macromedia Dreamweaver Step 4: Click on

State the structure of verilog code you follow, State the structure of Veri...

State the structure of Verilog code you follow? A good template for your Verilog file is shown below. // timescale directive tells the simulator the base units and precision

Explain passing parameters in general memory, Q. Explain Passing Parameters...

Q. Explain Passing Parameters in General Memory? The parameters can be passed in the memory too. In such a technique name of the memory location is used as a parameter. The res

Line of code of assembly language, In how many ways line of code of assembl...

In how many ways line of code of assembly language can be divided? A line of code of an assembly language program can be divided in three columns called as fields. The fields d

What are the advantages of inheritance in c++, It allows code reusability. ...

It allows code reusability. Reusability saves time in program development. It encourages the reuse of proven and debugged high-quality software, thus decreasing problem after a sys

When a network uses a star topology, A Network uses a star topology if? ...

A Network uses a star topology if? A Network utilizes a star topology if all computers attach to a single central point.

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