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

Explain about diodes, Q. Explain about Diodes? A single pn-junction wit...

Q. Explain about Diodes? A single pn-junction with appropriate contacts for connecting the junction to external circuits is called a semiconductor pn-junction diode. The fundam

Explain rational robots coding standards, The standards are for all testers...

The standards are for all testers using the IDE of Rational Robot to make their automated test scripts. The mission is to decrease maintenance costs when it comes to changes.

Calculus, i want an assignment on application of integraton and my topc of ...

i want an assignment on application of integraton and my topc of assifment is area under the curve includin solved examples

What is divide overflow, What is divide overflow? The division operati...

What is divide overflow? The division operation might result in a quotient with an overflow. Overflow happens when the length of the registers is finite and will not hold a nu

Recursion, Ask qurecurrion for short noteestion

Ask qurecurrion for short noteestion

Critical capabilities for superior firm performance, What are the critical ...

What are the critical capabilities for superior firm performance in e-commerce? Three firm capabilities which are critical for superior firm performance within e-commerce are:

Mach in distributed operating system, How it is useful in real scenario???

How it is useful in real scenario???

Define event marketing, Define Event Marketing. Web-based email marketi...

Define Event Marketing. Web-based email marketing enables the user to promote event through targeted email messages. Other applications help to make own event website (on cloud

How are the function code handles in flow logic, How are the function code ...

How are the function code handles in Flow Logic? When the User selects a function in a transaction, the system copies the function code into a specially designated

Stack overflow causes, Stack overflow causes (A) Hardware interrupt. ...

Stack overflow causes (A) Hardware interrupt. (B) External interrupt. (C) Internal interrupt. (D) Software interrupt. Stack overflow occurs whereas execution

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages