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

Define local area network, LAN is a privately - owned computer networks con...

LAN is a privately - owned computer networks confined to small geographical area, like a factory or an office widely used to connect office PCs to share resources and information.

draw the precedence diagram , The desired daily output for an assembly ...

The desired daily output for an assembly line is 360 units. This assembly line will operate 450 minutes per day. The following table have information on this product's task times a

Capacity and performance of storage - computer architecture, Capacity: ...

Capacity: Raw capacity Total amount of stored information that a medium or storage device can hold is expressed as a quantity of bytes and bits (for example 10.4 megabyte

Network, Give an intuitive explanation of why the maximum throughput, for s...

Give an intuitive explanation of why the maximum throughput, for small beta, is approximately the same for CSMA slotted Aloha and FCFS splitting with CSMA. Show the optimal expecte

Define interrupts in assembly language, Q. Define Interrupts in assembly la...

Q. Define Interrupts in assembly language? An interrupt causes interruption of an ongoing program. A number of the common interrupts are: printer, monitor, keyboard, an error c

Define optimistic synchronization, Q. Define Optimistic Synchronization? ...

Q. Define Optimistic Synchronization? Optimistic Synchronization: This method too updates atom by requester process however sole access is granted after atomic operation by abo

Very long instruction word architecture, Superscalar architecture was desig...

Superscalar architecture was designed to increase the speed of the scalar processor. But it has been realized it's not easy to apply. Subsequent are a number of problems faced in t

Show various RISC processors, Q. Show Various RISC Processors? RISC has...

Q. Show Various RISC Processors? RISC has fewer design bugs and its simple instructions decrease design time. Sodue to all the above important reasons RISC processors have beco

Determine the object design of object oriented modelling, Determine the Obj...

Determine the Object Design of Object oriented modelling Object Design: At this phase, a design model is created based on the analysis model which is already created in the

Explain briefly the generic framework for e-commerce, Explain briefly the g...

Explain briefly the generic framework for e-commerce. Generic framework of e-commerce contains the Applications of EC (like as banking, shopping in online stores and malls,

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages