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

Command mode using vi editor, What does the c$ command do from command mode...

What does the c$ command do from command mode using Vi Editor? Ans) C$ will start from the character under the curser till the finish of line. So when you use this command it wi

Generates sequence code, The basic project will have each group generate a ...

The basic project will have each group generate a sequence of 1's and 0's using  the Motorola 688HC11 board to turn ON and then turn OFF the TV set installed in ATRC 306. Each tele

Find gain in db of an amplifier has 600 ohm input resistance, An amplifier ...

An amplifier has an input resistance of 600 ohms and a resistive load of 75 ohms. When it has an rms input voltage of 100 mV, the rms output current is 20mA. Find the gain in dB.

Evaluate sop expression, Q. For function F(x,y,z) = ∑m(0,1,2,6,7) using TRU...

Q. For function F(x,y,z) = ∑m(0,1,2,6,7) using TRUTH TABLE only.   1. Find SOP expression 2. Implement this simplified expression using two level AND-to-OR gate network 3. I

Demonstrate arc consistency, Demonstrate Arc consistency: To demonstra...

Demonstrate Arc consistency: To demonstrate the worth of performing an arc-consistency check before starting a serarch for a solution, we'll use an example from Barbara Smith'

Write a program to read in a positive integer, Write a program to read in a...

Write a program to read in a positive integer and check whether it is prime or not? /* Program to check whether a given number is prime or not*/] # include # include

What is common control switching system, What is common control switching s...

What is common control switching system? Explain. Common Control Switching System: It is a functional block diagram of a common control switching system is demonstrated in figu

Megaflops, Speed in scientific computing is measured in megaflops, gigaflop...

Speed in scientific computing is measured in megaflops, gigaflops, teraflops and petaflops. A megaflop is 10 6 floating point arithmetic operations (+, -, *, /) in one second What

What is a table attribute, What is a Table attribute? The table's attr...

What is a Table attribute? The table's attributes verifies who is responsible for maintaining a table and which types of access are permitted for the table.  The most signific

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