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

Microprocessor, illustration of Z80 instruction set Computer

illustration of Z80 instruction set Computer

Introduction to parallel computing, Introduction To Parallel Computing ...

Introduction To Parallel Computing Parallel computing has been a subject of importance in the computing community over the last few years. Ever-growing volume of databases and

How to call a wml script from a wml page, WML & WML Script 1. How to ca...

WML & WML Script 1. How to call a WML Script from a WML Page? 2. Write a brief note on WML Script Operators and Expressions. 3. Write brief notes on WML Script Statements

Handlers classification, Handler's Classification In 1977, Wolfgang Han...

Handler's Classification In 1977, Wolfgang Handler proposed an detailed notation for expressing the parallelism and pipelining of computers. Handler's classification addresses

What is a message in mqseries, A message is a string of bytes that has mean...

A message is a string of bytes that has meaning to the applications that use it Message = Header(s) + Application Data A message having of a header and the attached applicat

Discuss primary elements of supply chain management models, Discuss the pri...

Discuss the primary elements of Supply Chain Management models. Primary Elements of Supply Chain Management Models are discussed in below: They are fundamentally concerned a

What are the rules of timescale directive, What are the Rules of Timescale ...

What are the Rules of Timescale directive Rules - 'Timescale directive, like all compiler directives, affects all modules compiled after directive, whether in same fi

What is selective complement - logic micro operations, SELECTIVE COMPLEMEN...

SELECTIVE COMPLEMENT The selective-complement process complements bits in register A where there are corresponding 1's inside register B. It does not affect bit positions which

Capacity and performance of storage - computer architecture, Capacity: ...

Capacity: Raw capacity Total amount of stored information that a medium or storage device can hold is expressed as a quantity of bytes and bits (for example 10.4 megabyte

Explain transformational analogy, Question 1 Why is it important that a...

Question 1 Why is it important that an expert system be able to explain why and how questions related to a problem solving session. 2 Give the architecture of an Expert syst

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages