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 clear operation, Clear operation The clear operation compares w...

Clear operation The clear operation compares words present in A and B and produces an all 0's result if two numbers are equal. This operation is achieved by the exclusive-OR mi

Operation research, iconic model problem

iconic model problem

What is the difference between tcp and udp, TCP and UDP are both transport-...

TCP and UDP are both transport-level protocols. TCP is designed to give reliable statement across a variety of reliable and unreliable networks and internets. UDP gives a conne

Conversion of decimal number 25.5 into binary number, Conversion of decimal...

Conversion of decimal number 25.5 into binary number Ans. There is integer part is 25 and fractional part is 0.5. Firstly convert the integer part 25 in its equal to binary numb

Octave project, i need help with an octave program

i need help with an octave program

Can we use write statements in screen fields, Can we use WRITE statements i...

Can we use WRITE statements in screen fields? If not how is data transferred from field data to screen fields? We cannot write field data to the screen using the WRITE stateme

What is bank interleaving, Interleaved memory is a method for compensating ...

Interleaved memory is a method for compensating the relatively slow speed of DRAM. The CPU can access alternative sections instantly without waiting for memory to be cached. Multip

Describe clusters in cellular systems, Question: a) With the help of a...

Question: a) With the help of a diagram, describe clusters in cellular systems. b) Describe the role of the following components in the GSM architecture Radio Sub-Sy

Users to run programs at same time, A computer system that allows multiple ...

A computer system that allows multiple users to run programs at similar time Multi tasking system

Differentiate between qa and testing, Differentiate between QA and testing....

Differentiate between QA and testing. - Quality Assurance is more a stop thing, ensuring quality in the company and thus the product rather than just testing the product for so

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages