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

What is system prompt, Q. What is System Prompt? On loading (or Switchi...

Q. What is System Prompt? On loading (or Switching to) DOS, the screen displays C :\>, C>, A :\> or a similar message. The message displayed by DOS is called DOS Prompt or Sys

Describing Random Algorithm, Suppose you''re given n numbers and asked to f...

Suppose you''re given n numbers and asked to find a number that is greater than or equal to the median a) What is the lower bound for the worst case complexity of this problem?

Where the grade of service is measured, The grade of service is measured in...

The grade of service is measured in (A) Percentage (B) Number (C) Fractional Number (D) Logarithmic Number Ans

Explain scripts and libraries introduction, Scripts A script within Rati...

Scripts A script within Rational Robot is a file that haves a sequence of SQABasic code. The extension of the file is always ".REC". Typically the script have an automated testc

Explain the difference between fixed and standard effect, Question: (a)...

Question: (a) There are several camera angles that can be used to make a sequence more interesting for a video production project. Explain clearly, using diagrams where appro

Computer architecture, what is complex instruction set computer and reduce...

what is complex instruction set computer and reduced complex instruction set computer

Explain the working of a 2-bit digital comparator, Explain the working of a...

Explain the working of a 2-bit digital comparator with the help of Truth Table. Ans. Digital comparator is a combinational circuit which compares two numbers, A and B; and

Compute the positive integer and square root, Question: Q1) Write a cod...

Question: Q1) Write a code that asks the user for a positive integer, computes the square root of that integer, and return the result to the user. The computational error needs

Cim and holonic manufacturing system, CIM and Holonic Manufacturing System ...

CIM and Holonic Manufacturing System The improvement of computer integrated manufacturing has demonstrated that the automation has the same potential such that of computers in

Define the concept of encapsulation of OOA, Encapsulation of OOA Encap...

Encapsulation of OOA Encapsulation separates the interface of an abstraction from its implementation. By taking the above example i.e. of a car, we can now categorize them as:

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages