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

Design a 4 to 1 multiplexer, Design a 4 to 1 Multiplexer by using the three...

Design a 4 to 1 Multiplexer by using the three variable function given by F(A, B, C) = ∑ m(1,3,5,6) Ans. The given function F(A,B,C) = ∑ m(1,3,5,6) can be implemented along wit

Difference between narrative form and documentary form, Question: (a) E...

Question: (a) Explain clearly the difference between a Proposal and a Treatment for a video production project. (b) Explain clearly the difference between Narrative form an

Flip flop., the counter shown Q2Q1Q0=000 The status of Q2Q1Q0 after the pul...

the counter shown Q2Q1Q0=000 The status of Q2Q1Q0 after the pulse

PADOVAN STRING, write a program that counts the number of occurrences of th...

write a program that counts the number of occurrences of the string in the n-th Padovan string P(n)

Define grid computing, GRID COMPUTING Grid Computing signifies applying...

GRID COMPUTING Grid Computing signifies applying resources of different computers in a network concurrently to a single problem for solving a scientific or technical problem wh

Efficiency of vector processing over scalar processing, Efficiency of Vecto...

Efficiency of Vector Processing over Scalar Processing As we know a serial computer processes single scalar operands at a time. So if we have to process a vector of length 'n'

Explain instruction level of parallel processing, Instruction Level It ...

Instruction Level It refers to condition where different instructions of a program are implemented by different processing elements. Most processors have various execution unit

Determine about the blocking suspicious behaviour, Determine about the bloc...

Determine about the blocking suspicious behaviour The response could be spontaneous and automatic, with an option to generate the alert message manually. The history recorded i

Can math operations be performed on a void pointer, Can math operations be ...

Can math operations be performed on a void pointer? No. Pointer addition and subtraction are based on advancing the pointer by a number of elements. By explanation, if you have

How can we send data to external programs, How can we send data to external...

How can we send data to external programs? Using SPA/GPA parameters(SAP memory). Using EXPORT/IMPORT data (ABAP/4 memory)

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages