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

Computer architecture, write miss

write miss

Insert images in dreamweaver, Q. Insert images in Dreamweaver? You will...

Q. Insert images in Dreamweaver? You will learn two methods to insert images in Dreamweaver-using Dreamweaver's main menu and using Objects panel. 1. Click anywhere in the l

The first digit of a decimal constant, The first digit of a decimal constan...

The first digit of a decimal constant must be Decimal constants having of a set of digit, 0 to 9, preceded by an optional - or + sign.

What is electronic cash, What is electronic cash? E-cash is cash which ...

What is electronic cash? E-cash is cash which is shown by two models. One is the on-line form of e-cash which permits for the completion of all types of internet transactions.

Concept of data paralellism, need tutorial on data paralellism.

need tutorial on data paralellism.

Explain difference between dynamic and static binding, Explain difference b...

Explain difference between Dynamic and static binding. Dynamic and static binding: Dynamic binding is a binding performed after the execution of a program has immediately beg

Explain types of micro-instructions, Q. Explain types of Micro-instructions...

Q. Explain types of Micro-instructions? In general micro-instruction can be classifiedin two general kinds. These are non-branching and branching. After execution of a non-bran

Applications of linked list, What are the Applications of Linked List are ...

What are the Applications of Linked List are a) Fixed block storage allocation b) garbage collection

Role of internet, What are the roles of Internet, Intranet and extranet in ...

What are the roles of Internet, Intranet and extranet in e-business? Role of Internet, Intranet and extranet into e-business: The given information activities are carried

Advanced topics of html, HTML is made up of many elements, a lot of them ar...

HTML is made up of many elements, a lot of them are overlooked. Though you can develop a Website with the basic knowledge of HTML, to take benefit of many of the advanced features,

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages