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

System analysis and design, write an algorithm on railway reservation ticke...

write an algorithm on railway reservation ticket window

What are the risks involved in electronic payment systems, What are the ris...

What are the risks involved in Electronic Payment Systems? From the customer's perspective: Dishonest merchants or financial service providers Stolen payment

What is the main use of structures, What is The main use of structures ...

What is The main use of structures The main use of structures is to lump together collections of disparate variable types, so they can conveniently be treated as a unit. For ex

How many chips will be required in a microprocessor , A microprocessor uses...

A microprocessor uses RAM chips of 1024 × 1 capacity. (i) How many chips will be required and how many address lines will be connected to provide capacity of 1024 bytes. (ii) How

Cursor, what is cursor

what is cursor

Compare putchar function with the getchar function, Normal 0 fa...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

Prove the equations using the boolean algebraic theorems, Prove the equatio...

Prove the equations A + A‾ .B + A.B‾ = A + B using the Boolean algebraic theorems ? Ans. The equation is A + A‾.B + A.B‾ = A + B L.H.S. = A + A‾ .B + A.B‾ = (A + A.B‾) + A‾.B

Develop an object-oriented design, Investigate the MIPS programmers model a...

Investigate the MIPS programmers model and develop an object-oriented design that will reflect aspects of the MIPS architecture. Consider the functional units of the architecture a

Explain status and control registers, Q. Explain Status and Control Registe...

Q. Explain Status and Control Registers? For control of numerous operations several registers are used. These registers can't be used in data manipulation though content of som

Logical database is a database structure., In sense of Database Management ...

In sense of Database Management System (DBMS) LOGICAL DATABASE is a database Structure. False LOGICAL DATABASE is not a database Structure.

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages