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

Explain time sharing operating system, Explain Time sharing operating syste...

Explain Time sharing operating system. Time sharing: It is also called as multi tasking, is a logical execution of multiprogramming. Multiple jobs are executed through the C

Give an example of resource allocation graph & deadlocked, Suppose there ar...

Suppose there are 2 copies of resource A, 3 copies of resource B, and 3 copies of resource C. Suppose further that process 1 holds one unit of resources B and C and is waiting for

Define process, Define Process. Process: It is a program in executi...

Define Process. Process: It is a program in execution; process execution should progress into sequential fashion. Process contains: program counter stack dat

Describe about the embedded applications assembly, Describe about the Embed...

Describe about the Embedded applications assembly Embedded applications assembly and C programs are developed since embedded programs aren't large. For all others high-level an

Manipulating numbers, Computers manipulate numbers - but decimalnumbers wit...

Computers manipulate numbers - but decimalnumbers with digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 cannot be represented using two states of a digitalcircuit.Instead decimal numbers are co

Define the most common biometrics, What is most common biometrics? Explain ...

What is most common biometrics? Explain in brief. The most common biometrics is as given below: Face geometry (Photo): The computer captures the picture of your face and m

Prior conditions - logic programs, Prior Conditions - Logic programs: ...

Prior Conditions - Logic programs: However firstly there we must make sure that our problem has a solution. Whether one of the negative examples can be proved to be true from

Explain an expression tree with a suitable example, What is an expression t...

What is an expression tree? How an expression is evaluated using an expression tree? Algebraic expressions is as given here a/b+(c-d)e That has an inherent tree-like structure

Draw a schematic for managing dynamic storage allocation, Draw a simple sch...

Draw a simple schematic for managing dynamic storage allocation. A simple schematic for managing dynamic storage allocation is as follows: Block size pointe

In java system.out is an object of which type, In Java System.out is an obj...

In Java System.out is an object of type? In Java System.out is an object of form Print Stream.

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages