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 are the techniques of data collection, What are the techniques of Data...

What are the techniques of Data Collection It can be either automatic or manual. Manual techniques can include: -  Keypads/Keyboards to type in data -  touch screens to s

What are the different tones used in strowger telephony, What are the diffe...

What are the different tones used in strowger telephony? Explain with the help of waveforms and the timings. Dial Tone: it is used to indicate that the exchange is ready to r

Implementation for the prime machine, Write an implementation for the Prime...

Write an implementation for the Prime machine (de?ned at the end of the assignment sheet). Provide a suitable invariant and variant for any loop you use. Provide comments in your m

What is public-key infrastructures, a. What are the differences among conve...

a. What are the differences among conventional signatures and digital signatures? Write a short note on "Attacks on digital signature". b. What is Public-Key Infrastructures

Explain why most interrupts are active low, Explain why most interrupts are...

Explain why most interrupts are active low? This answers why most signals are active low when you see the transistor level of a module, active low implies that the capacitor in

two arguments are passed, The velocity of sound in air is 49.02 feet p...

The velocity of sound in air is 49.02 feet per second where is the air temperature in degrees Rankine.  Write a function to execute this.  If just 1 argument is passed to the f

What are the different pascal standards, The original Pascal standard was a...

The original Pascal standard was an unofficial standard documented by the author, Nicklaus Wirth, in "The Report". The first official standard was ISO 7185 issued in 1983. This was

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd