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

What does a socket having of, The combination of an IP address and a port n...

The combination of an IP address and a port number is known as a socket.

Convenience of environments -artificial intelligence , Convenience of Envir...

Convenience of Environments -artificial intelligence: In some cases, some aspects of an environment which should be taken into account in decisions about actions may be unavai

What is simd, What is SIMD? Single Instruction stream, Multiple Data st...

What is SIMD? Single Instruction stream, Multiple Data stream (SIMD) shows an organization that contains many processing units under the supervision of a common control unit. A

Define the operand data types, Operand is that part of an instruction which...

Operand is that part of an instruction which specifies the address of source or result or the data itself on which the processor is to operate. Operand types typically give operand

Diiferentiate between ROM and PROM, Diiference between ROM and PROM. R...

Diiference between ROM and PROM. ROM: It also called Read Only Memory is a Permanent Memory. The data is permanently stored and cannot be changed in Permanent ROM. This can o

Working on dreamweaver, Write your text, format text, insert picture throug...

Write your text, format text, insert picture through Object window or INSERT -> IMAGE. Insert Menu provides you all features which are available under the Object window. Modify men

How sensors uses in real time process control, How sensors uses in real tim...

How sensors uses in real time process control Sensors send data (through an analogue to digital converter - ADC) to a microprocessor or computer that decides whether or not to

Sdr, advantages of sdr

advantages of sdr

Translate the sentences into predicate calculus, Translate each of the foll...

Translate each of the following sentences into predicate calculus, conceptual dependencies, and conceptual graphs: 1. Bill sold the book to the book store." 2. "John borrowed

What is a c++ class, Class is a user-defined data type in C++. It can be fo...

Class is a user-defined data type in C++. It can be formed to solve a particular kind of problem. After creation the user require not know the specifics of the working of a class.

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