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

Recursion, Ask qurecurrion for short noteestion

Ask qurecurrion for short noteestion

Show the internet protocols, A communication protocol is an agreement which...

A communication protocol is an agreement which specifies a common language two computers use to exchange messages. For instance, a protocol specifies exact format and meaning of ev

Which error detecting method detect more errors, Error detecting method tha...

Error detecting method that can detect more errors without increasing additional information in each packet is? Error detecting method which can detect more errors without rais

C, "Super ASCII", if it contains the character frequency equal to their asc...

"Super ASCII", if it contains the character frequency equal to their ascii values. String will contain only lower case alphabets (''a''-''z'') and the ascii values will starts from

Levels of parallel processing, Levels Of Parallel Processing Depending ...

Levels Of Parallel Processing Depending upon the difficulty under consideration, parallelism in the answer of the problem may be achieved at dissimilar levels and in different

What is an on"-input filed" statement, What is an on"-input filed" statem...

What is an on"*-input filed" statement? ON *-INPUT The ABAP/4 module is known as if the user has entered the "*" in the first character of the field, and the field has th

Dynamic cons, i want dynamic cons simple program in c++

i want dynamic cons simple program in c++

Salient features of direct addressing mode, Q. Salient features of direct a...

Q. Salient features of direct addressing mode? A number of salient points about this technique are: This scheme offers a limited address space since if address field has

Determine capacity in bytes of a certain memory, A certain memory has a cap...

A certain memory has a capacity of 4K × 8 (i) How many data input and data output lines does it have? (ii) How many address lines does it have? (iii) What is its capacity in bytes

Add another layout cell, Next add a layout cell for the Learn More About gr...

Next add a layout cell for the Learn More About graphic. 1. In Objects panel, click the Draw Layout Cell icon. 2. In Document window, draw a new cell in the space below nav

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages