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

Describe arp message format in brief, Describe ARP message format in brief....

Describe ARP message format in brief. 0 8 16

Carry look-ahead adder and booth''s algorithm, Describe carry look-ahead ad...

Describe carry look-ahead adder? Ans: The input carry required by a stage is directly computed from carry signals obtained from all of the preceding stages i-1,i-2,.....0, rat

I want computer help, i want computer help plese help me

i want computer help plese help me

Find the boolean expression for the logic circuit, Find the boolean express...

Find the boolean expression for the logic circuit shown below. Ans. Output of Gate-1 (NAND) = (AB)' Output of Gate-2 (NOR) = (A'+B)' Output of Gate-3 (NOR) = [(AB)' + (

Does gimp have scanner support, Yes. It's available on Windows and uses TWA...

Yes. It's available on Windows and uses TWAIN, and on GNU/Linux you constant have a choice among XSane and gnome-scan - both can be used as GIMP plug-ins.

Propositional versions of resolution, Propositional versions of resolution:...

Propositional versions of resolution: Just because of so far we've only looked at propositional versions of resolution. However in first-order logic we require to also deal wi

Explain about the voice recognition system, Explain about the Voice recogni...

Explain about the Voice recognition system These voice recognition systems recognise spoken words e.g. for disabled people who can't use keyboards where they speak commands rat

Predicate logic - artificial intelligence, Translate the following sentence...

Translate the following sentences into predicate logic, using Russell's theory of definite descriptions to represent the article the. a. The wizzard of Oz fell. b. Everyone a

Find minimum sampling rate of analog signal to be sampled, The analog signa...

The analog signal needs to be sampled at a minimum sampling rate of: (A) 2fs (B) 1/(2fs) (C) fs/2

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

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages