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

Learning weights in perceptrons, Learning Weights in Perceptrons In det...

Learning Weights in Perceptrons In detail we will look at the learning method for weights in multi-layer networks next chapter. The following description of learning in percept

Explain the operation of JK flip flop when all inputs are 0, Write the trut...

Write the truth table for a clocked J-K flip-flop that is triggered by the positive-going edge of the clock signal. Explain the operation of this flip-flop for the following condit

C LANGUAGE PROGRAMME, find a c program to find the area under the curve y=f...

find a c program to find the area under the curve y=f(x) between x=a and x=b,intregrate y=f(x)between the limits of a and b.the area under a curve between two points can be found b

How does the dialog handle user requests, How does the Dialog handle user r...

How does the Dialog handle user requests? when an action is performed ,the system triggers the PROCESS AFTER INPUT event. The data passed contains field screen data data enter

Build data flow diagrams showing functional dependencies, Build data Flow d...

Build data Flow diagrams showing functional dependencies Data flow diagrams are very useful for showing functional dependencies. In data flow diagrams processes are indicated

Decision support at a digital hospital, Heart disease is the number-one kil...

Heart disease is the number-one killer in the United States, and in a cardiac crisis, each minute matters. Indiana Heart Hospital (IHH) is a new cardiac hospital that saves life b

Develop a menu driven program, Q. Develop a Menu driven program with follo...

Q. Develop a Menu driven program with following menu: a. Binary to Decimal b. Binary to Octal c. Binary to Hexadecimal d. Exit (Put proper validation for input

Define the meaning of business-to-business, Define the meaning of business-...

Define the meaning of business-to-business. B2B (business-to-business): The consensus is universal: it is the priority; it is where the money is. It’s rather true; theref

Problems.., what are the different types of tablets?

what are the different types of tablets?

3D rotation, Magnify a triangle with vertices A = (0,0), B = (3,3) and C = ...

Magnify a triangle with vertices A = (0,0), B = (3,3) and C = (6,4) to twice its size in such a way that A remains in its original position.

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages