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

.., 1mechanism of artificial satellite

1mechanism of artificial satellite

Hypertext vs hypermedia, Hypertext vs Hypermedia     Hypertext is basic...

Hypertext vs Hypermedia     Hypertext is basically the similar as regular text - it can be stored, read, searched, or edited - with a significant exception: hypertext having co

States briefly the generic framework for e-commerce, States briefly the gen...

States briefly the generic framework for e-commerce. Generic framework of e-commerce comprises the Applications of e-commerce (as like banking, shopping within online stores an

Explain about common addressing modes, Q. Explain about common addressing m...

Q. Explain about common addressing modes? Most of machines use a set of addressing modes. The following tree displays common addressing modes: Figure: Common Addres

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

What is memory address register, Q. What is Memory Address Register? Me...

Q. What is Memory Address Register? Memory Address Register (MAR): It specifies address of memory location from that data or instruction is to be accessed (read operation) or t

Explain rational robots coding standards, The standards are for all testers...

The standards are for all testers using the IDE of Rational Robot to make their automated test scripts. The mission is to decrease maintenance costs when it comes to changes.

Explain the relationship between translated & linked address, Explain the r...

Explain the relationship amongst Translated address and Linked address. Translated address: Address assigned through the translator Linked address: Address assigned

Explain the operation of JK flip flop when all inputs are 0, Write the trut...

Write the truth table for a clocked J-K flip-flop that is triggered by the positive-going edge of the clock signal. Explain the operation of this flip-flop for the following condit

Applied physics, #what is nicol prism.its construction and working

#what is nicol prism.its construction and working

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