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 elements of analysis model, What are the elements of Analysis ...

What are the elements of Analysis model? i. Data Dictionary ii. Entity Relationship Diagram iii. Data Flow Diagram iv. State Transition Diagram v. Control Specifica

Explain the fetch cycle, Q. Explain the Fetch Cycle? The beginning of e...

Q. Explain the Fetch Cycle? The beginning of every instruction cycle is the fetch cycle and causes an instruction tobe fetched from memory.   The fetch cycle comprises four

Difference among using a filter and a query to find records, What is the di...

What is the difference among using a filter and a query to find records? Filter is used to quickly limit the records as we are already viewing in a Datasheet or a form to those

Deductive inferences - artificial intelligence, Deductive Inferences - Arti...

Deductive Inferences - Artificial intelligence: We have described how knowledge can be represented in first-order logic, and how in logic rule-based expert systems expressed ca

What is a privileged instruction, What is a privileged instruction? To ...

What is a privileged instruction? To protect the operating system of a computer from being corrupted by user programs, particular instructions can be executed only whereas the

Dfd, Give a 5-minute presentation on your team''s solution

Give a 5-minute presentation on your team''s solution

Functional units of a computer system, Functional units of a computer syste...

Functional units of a computer system: Digital computer systems consist of 3 distinct units. These units are as follows:  Central Processing unit Input unit and Output unit.

Draw the logic diagram of 4-bit twisted ring counters, Draw the logic diagr...

Draw the logic diagram of 4-bit Twisted Ring counters and explain its operation with the help of timing diagram. Ans: Twisted ring counter (4 BIT): We ready know that shi

What is the maximum number of fragments, What is the maximum number of frag...

What is the maximum number of fragments that can result from a single IP Datagram? Explain. To fragment a datagram for transmission across a network, a router utilizes the netw

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