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

Explain the concept of generalization, Explain the concept of Generalizatio...

Explain the concept of Generalization Generalization and inheritance are powerful abstractions for sharing the structure and/or behaviour of more than one class.  Generalizati

Cache memories - computer architecture, Cache Memories - computer architect...

Cache Memories - computer architecture: Speed of the primary memory is very low in comparison with the speed of processor For well performance, the processor can't spend

Define edge-triggered s-r flip-flop, Define Edge-triggered S-R flip-flop ...

Define Edge-triggered S-R flip-flop Basic Symbol small triangle, called the dynamic input indicator, is used to identify an edge-triggered flip-flop. Truth Table.

Matlab, 33.A juice company manufactures one-gallon bottles of three types o...

33.A juice company manufactures one-gallon bottles of three types of juice blends using orange, pineapple, and mango juice. The blends have the following compositions: 1 gallon or

standard console application, Three projects as follows: a. Life  stati...

Three projects as follows: a. Life  static library, code for every needed  function in the Life program. b. LifeGame  .exe application, i.e., a standard console application t

The three main elements of ldb, The three main elements of LDB are:- St...

The three main elements of LDB are:- Structure Selections and Database Program.

What are the user interfaces of interactive lists, What are the user interf...

What are the user interfaces of interactive lists? If you require the user to communicate with the system during list display, the list must be interactive.  You can describe

Embedded systems and the system in which rtos is running, Explain What is t...

Explain What is the difference among embedded systems and the system in which RTOS is running? Ans) Embedded system can have RTOS and cannot have also. It depends on the requi

Significance of having less memory references, Q. What is the significance ...

Q. What is the significance of having less memory references? As the time needed for memory reference is more than that of a register reference so increased number of memory r

Dick cheney approach, How many "true" terrorists are there in the US?  I do...

How many "true" terrorists are there in the US?  I don't know, but let's suppose that there are 3000 out of a total population of, say, 3,000,000.  That is, one person in 100,000 i

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