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

State in brief about the proxy server, State in brief about the proxy serve...

State in brief about the proxy server A proxy server also helps a lot since it hides the real IP addresses of users requesting resources outside the firewall. Finally, the

How are interrupt handled by the operating system, How are interrupt hand...

How are interrupt handled by the operating system? The fundamental interrupt mechanism works as follows: The CPU hardware has wire called the interrupt-request line which

SIDE EFFECT , EXPLAIN SIDE EFFECT OF SCAN CONVERSION WITH DIGRAM

EXPLAIN SIDE EFFECT OF SCAN CONVERSION WITH DIGRAM

How many bits are required for a ladder d/a converter, How many bits are re...

How many bits are required at the input of a ladder D/A converter, if it is required to give a resolution of 5mV and if the full scale output is +5V. Find the %age resolution.

Functions to remove common walls, We must also be able to remove common wal...

We must also be able to remove common walls between two cells. Write the function removewalls that accepts two cells and removes the wall that is common between the two (hint: any

.image forgery detection, what is the code to detect image forgery using Ma...

what is the code to detect image forgery using Matlab..??

Describe about physical systems, Q. Describe about Physical Systems? Ph...

Q. Describe about Physical Systems? Physical Systems are tangible entities which may be dynamic or static.   Computer Systems, Buildings,Vehicles etc. are illustrations of p

What is software quality assuranc, Software QA includes the whole software ...

Software QA includes the whole software development PROCESS - improving and monitoring the process, making sure that any agreed-upon standards and processes are followed, and ensur

Explain about interrupt servicing routines, Q. Explain about Interrupt serv...

Q. Explain about Interrupt servicing routines? First the situation is to be checked as to why the interrupt has happened. That includes not only device but also why the device

Vector-vector instructions-vector processing, Vector-Vector Instructions ...

Vector-Vector Instructions In this type, vector operands are fetched by the vector register and saved in another vector register. These instructions are indicated with the foll

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