Prove the equations using the boolean algebraic theorems, Computer Engineering

Assignment Help:

Prove the equations A + A‾ .B + A.B‾ = A + B using the Boolean algebraic theorems ?

Ans.
The equation is A + A‾.B + A.B‾ = A + B
L.H.S. = A + A‾ .B + A.B‾
= (A + A.B‾) + A‾.B
= A (1+ B‾) + A‾.B
= A + A‾ .B (? 1+B‾ =1)
= (A +A‾ ) (A + B)
= (A + B) (? A + A‾ = 1)
= R.H.S
Thus Proved

Related Discussions:- Prove the equations using the boolean algebraic theorems

Explain the wap stack in brief, Discuss the WAP stack in brief. The pro...

Discuss the WAP stack in brief. The protocol stacks part implemented by WAP Stack for the WAP development and research platform. The protocol stack will be exploited into many

What is a diagonalization language ld, What is a Diagonalization language L...

What is a Diagonalization language LD? The diagonalization language having of all strings w such that the TM whose code is w does not accept when w is given as in

Explain about barrier, Q. Explain about Barrier? Barrier: No actual tra...

Q. Explain about Barrier? Barrier: No actual transfer of data takes place in this mode unless all the processors involved in the communication execute a particular block, calle

Determine the number of classes of ip addresses, The total number of class ...

The total number of class of IP address are? The total number of class of IP addresses are 5.

Give regular expression for real number, Develop a regular expression for R...

Develop a regular expression for Real number and Real number with optional fraction (i) A regular expression for real number is [+ | -] (d)+. (d)+ (ii) A regular expression

Utility functions - artificial intelligence, Utility Functions - artificial...

Utility Functions - artificial intelligence: A goal based on an agent for playing chess is infeasible: at every moment it decides which move to play next, it sees whether that

Information security, i wants to know the methods and process of substituti...

i wants to know the methods and process of substitution and transposition cipher with examples.

Determine about the security- accidental damage, Determine about the securi...

Determine about the security- accidental damage accidental damage is best guarded against by keeping back up files or use Grandfather-Father-Son (GFS) method; also use of passw

Explain what is dtmf signalling, Explain what is DTMF signalling. Dual ...

Explain what is DTMF signalling. Dual Tone Multi Frequency (DTMF) was initially introduced in 1963 with 10 buttons into Western Electric 1500 -type telephones. Dual Tone Multi

Examples of artificial neural networks, Examples of artificial neural netwo...

Examples of artificial neural networks: Now here as an example consider a ANN that has been trained to learn the following rule categorising the brightness of 2x2 black and wh

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages