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

Environment of the packet flow, Q. Environment of the Packet Flow? Prot...

Q. Environment of the Packet Flow? Protocol stack used on Internet is referred to as TCP/IP protocol stack. If we were to follow the path that message "Hello computer 5.6.7.8!"

Poor human support - obstacle to information system, Poor human support - O...

Poor human support - Obstacle to Information System The full utility of an IS will only be realised if it is properly supported by the users. Technology is never a solution in

Mutability and accessibility of primary memory, Mutability and Accessibilit...

Mutability and Accessibility of primary memory: Mutability: Read/write storage or mutable storage  It provides permit ion for the information to be overwritten at

What is python?, Python is an interpreter, interactive, object-oriented pro...

Python is an interpreter, interactive, object-oriented programming language. It is frequently compared to Tcl, P e r l, Scheme or Java. Python combines remarkable power with v

How the conversation speed of A/D converter is maximum, The conversation sp...

The conversation speed of an analog to digital converter is maximum with which technique? Ans. With parallel comparator AD converter technique the conversation speed of an ana

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

Chemistry, what are the applications of photochemistry?

what are the applications of photochemistry?

Explain the main characteristics of semiconductor memory, Explain the Main ...

Explain the Main characteristics of semiconductor memory Memory, with regard to computers, most commonly signifies to semiconductor devices whose contents can be accessed (whic

Name the modes of 8255 programmable peripheral interface, What are the diff...

What are the different modes in that 8255 Programmable Peripheral Interface (PPI) can operate?  24 I/O lines in 3-8-bit port groups - A, B, C A, B can be 8-bit input

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