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

Logistics planning, During the Persian Gulf crisis of 1991, U .S forces dep...

During the Persian Gulf crisis of 1991, U .S forces deployed a Dynamic Analysis and Re planning Tool, DART ( Cross and Walker, 1994) to do automated logistics planning and schedu

Importance of spectrum to the mobile sector, (a) The statement "Standards ...

(a) The statement "Standards create markets or markets create standards" has been the subject of considerable debate. Discuss the advantages and disadvantages to having multiple

What are the special features of direct rdram, What are the special feature...

What are the special features of Direct RDRAM? It is a two channel Rambus It has 18 data lines intended to transfer two bytes of data at a time There are no divide

Define overflow, Define Overflow.  An overflow is a problem in digital ...

Define Overflow.  An overflow is a problem in digital computer due to the width of registers is finite. A result that contains n+ 1 bit cannot be accommodated in a register wit

Explain how a critical section avoids race condition, Explain how a critica...

Explain how a critical section avoids Race condition. To prevent Race Condition, concurrent processes should be synchronized. Data consistency needs that only one process m

History of e-commerce, In 1960: The purpose of e-commerce was to exchange t...

In 1960: The purpose of e-commerce was to exchange the electronic data. In 1970s: Electronic Fund Transfers or EFT was developed which considered as huge impact in the emerging

Replacement policy - cache memories , Replacement policy: On a particul...

Replacement policy: On a particular cache miss we require to evict a line to build room for the new line "In an A-way set associative cache, we have A option of which block

Recent parallel programming models, A model for parallel programming is an ...

A model for parallel programming is an abstraction and is machine architecture independent. A model can be executed on several hardware and memory architectures. There are various

Size of scripts and libraries, Main script section ("Sub Main .. End Sub) a...

Main script section ("Sub Main .. End Sub) and function bodies should fit within an A4-page (approx. two monitor-pages). If the code doesn't fit it is a candidate to do more decoup

Instruction of a micro-program, Q. Instruction of a micro-program? A mi...

Q. Instruction of a micro-program? A micro-instruction is an instruction of a micro-program. It specifies one or more than one micro-operations that can be executed concurrentl

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