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 hybrid olap, When a database developer uses Hybrid OLAP it seperate...

When a database developer uses Hybrid OLAP it seperates the data among relational and specialized storage. In some certain modifications a HOLAP database may store vast amounts of

Analysis of amdahls law, Q. Analysis of Amdahls law? The conclusions of...

Q. Analysis of Amdahls law? The conclusions of analysis of Amdahl's law are: 1) To optimize performance of parallel computers modified compilers should be developed that sho

Example to show a single digit, Q. Example to show a single digit ? Dis...

Q. Example to show a single digit ? Displaying a single digit (0 to 9) Presume that a value 5 is stored in BL register then to output BL as ASCII value add character ‘0' to

What are the types of assemblies, What are the Types of Assemblies? One...

What are the Types of Assemblies? One of the drawback of using Visual Studio.NET and the .NET framework to develop applications has been the lack of cross-platform support. As

What is meant by context switch, What is meant by context switch?  Swit...

What is meant by context switch?  Switching the CPU to another process requires saving the state of the old process and loading the saved state for the new process. This task i

Why network layer is used, Network Layer is used for (A)  Breaking up ...

Network Layer is used for (A)  Breaking up the data in frames for transmission (B)  Deal with Error correction (C)  Automatic Recovery of Procedure (D)  Physica

Describe the instruction set architecture, Q. Describe the instruction set ...

Q. Describe the instruction set architecture? The significant role of the Central Processing Unit (CPU) is to perform calculations, to coordinate all other hardware components,

Data dictionary, data dictionary for online banking system in software engi...

data dictionary for online banking system in software engineering

Determine about the raster-scan systems, Determine about the raster-scan sy...

Determine about the raster-scan systems Most of the present raster-scan systems contain a separate processor called as display processor. This processor performs graphics func

What is electronic data interchange, What is Electronic Data Interchange? ...

What is Electronic Data Interchange? Electronic Data Interchange (EDI): It is used by organizations for transactions which arise on regular basis to a pre-found format.

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