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

Determine the importance of computer hardware, Determine the importance of ...

Determine the importance of computer Hardware Hardware forms the greatest asset of the company, but it reaches obsolescence very quickly. Normally, it is said that every six mo

What is the relation between response time and throughput, The Throughput g...

The Throughput graph represents the amount of data in bytes that the Vusers received from the server in a second. When we evaluate this with the transaction response time, we will

Show the reset and submit buttons in html, Reset and Submit are special typ...

Reset and Submit are special types of input buttons. Submit is used to send data to the server and Reset resets/clears the form.

Joint application development session leader, Q.Joint Application Developme...

Q.Joint Application Development session leader? JAD session leader: JAD leader organizes and runs the JAD. This person is trained in group management and facilitation as well

Demux., Implement the full substractor using 8:1demux

Implement the full substractor using 8:1demux

Which loader is executed when a system is first turned on, Which loader is ...

Which loader is executed when a system is first turned on or restarted? Ans. Bootstrap loader executed while a system is first turned on or restarted.

Explain about magnetic disk, Q. Explain about Magnetic Disk? A disk is ...

Q. Explain about Magnetic Disk? A disk is circular platter constructed of nonmagnetic material known as substrate, coated with a magnetisable material. This is used for storing

Explain about integration levels, Q. Explain about Integration Levels? ...

Q. Explain about Integration Levels? Initially only few gates were integrated consistently on a chip. This initial integration was termed as small-scale integration (SSI). With

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