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

Struct and class, https://dl.dropbox.com/u/41918180/Images/Pro%202/2.png ...

https://dl.dropbox.com/u/41918180/Images/Pro%202/2.png https://dl.dropbox.com/u/41918180/Images/Pro%202/3.png https://dl.dropbox.com/u/41918180/Images/Pro%202/4.png">https://dl.d

Nanoprogram, Details about nanoprogram

Details about nanoprogram

Canonical genetic algorithm - mating, Canonical genetic algorithm - Mating:...

Canonical genetic algorithm - Mating: In such a scenario this continues until the number of offspring that is produced is the required number. Further this required number is

Remote-load latency problem, Remote-load Latency Problem: When one process...

Remote-load Latency Problem: When one processor requires some remote loading of data by other nodes, then the processor need to wait for these two remote load operations. The long

Explain what the difference between the two readings, The following sentenc...

The following sentences have a (potential) scope ambiguity. Give two translations into predicate logic for each sentence (one formula for each reading), and explain in words what t

Describe functions of data flow diagram, Describe functions of data flow di...

Describe functions of data flow diagram After you have roughly designed data flow diagram, you could write a description of each function and you could describe the function i

Conversion of fractional number into its binary number, Conversion of fract...

Conversion of fractional number 0.6875 into its equivalent binary number ? Ans. Multiply the fractional number 0.6875 with 2 until the remainder becomes 0 that is, Ther

Properties of e-cash, Properties: 1. Monetary Value: Monetary value mu...

Properties: 1. Monetary Value: Monetary value must be backed by either cash, bank - authorized credit cards or bank certified cashier's cheque. 2. Interoperability: E-cash

Binary floating-point number range, Q. Binary floating-point number range? ...

Q. Binary floating-point number range? Smallest Negative number Maximum mantissa and maximum exponent = - (1 -2 -24 ) × 2 127 Largest negative number

Explain derived equations and models, Each student will be assigned a binar...

Each student will be assigned a binary system. The experimental references and the conditions are indicated in the table below. The student should make use of software available on

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages