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 addressing modes in risc, Q. Explain Addressing modes in RISC? ...

Q. Explain Addressing modes in RISC? Simple addressing modes: Another benefit is the use of simple addressing modes. RISC machines employ simple register addressing having disp

History, #what is the history of computer science

#what is the history of computer science

Assembler, Assembler: Typically a modern assembler makes object code b...

Assembler: Typically a modern assembler makes object code by translating assembly instruction into op codes, & by resolving symbolic names for memory locations and any other e

High level expertise, The most useful feature of an expert system is the h...

The most useful feature of an expert system is the high level expertise it provides to aid in problem solving. This expertise can represent the best thinking of the top

Describe about frameset, Q. Describe about Frameset? Now make a master ...

Q. Describe about Frameset? Now make a master page in which you write below code. My Frame Page -- The Master Page

Translating from english to first-order logic, Translating from English to ...

Translating from English to First-Order Logic: Still we have now seen some of examples of first order sentences, than you should practice writing down English sentences in fir

Define the uniform memory access model (uma), Normal 0 false ...

Normal 0 false false false EN-US X-NONE X-NONE

Explain in detail about register transfer language, We have multiple instan...

We have multiple instances in RTL (Register Transfer Language), do you do anything special during synthesis stage? Whereas writing RTL(Register Transfer language),say in Verilo

Machine centred versus human centred, Machine Centred versus human Centred ...

Machine Centred versus human Centred The discussion here is based on the difference in approach to the design of the work system when we prioritise either the needs of the mac

Explain passing parameters in general memory, Q. Explain Passing Parameters...

Q. Explain Passing Parameters in General Memory? The parameters can be passed in the memory too. In such a technique name of the memory location is used as a parameter. The res

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages