Determine Boolean identities using Boolean algebra, Computer Engineering

Assignment Help:

Prove the following identities
 
a. A
‾B‾C‾ + A‾BC‾ + AB‾C‾ + ABC‾ = C
b. AB + ABC + A
‾ B + AB‾C = B + AC

Ans.

a. LHS = A'B'C' + A'BC' + AB'C' + ABC'
= A'C' (B' + B) + AC' (B' + B)
= A'C' + AC'   [as B'+B = 1]
= C' (A' + A)
= C'                   [since A'+A =1]
= RHS.
Thus Proved

b. LHS = AB + ABC + A'B + AB'C

= B + AC
= B (A + A') +  AC (B + B')
= B + AC   [as B + B' = A + A' = 1]
= B + AC
= RHS.
Thus Proved


Related Discussions:- Determine Boolean identities using Boolean algebra

Basic idea - learning decision trees, Basic idea: However in the above...

Basic idea: However in the above decision of tree which it is significant that there the "parents visiting" node came on the top of the tree. Whether we don't know exactly the

Explain public switched telephone network, Explain Public Switched Telephon...

Explain Public Switched Telephone Network. PSTN (Public Switched Telephone Network): This is Public Switched Telephone Network (PSTN), which accommodates two types of subscri

Architecture of artificial neural networks, Architecture of Artificial neur...

Architecture of Artificial neural networks: Presumably "Artificial Neural Networks" consist of a number of units that are mini calculation devices. But they take in real-value

What is bus arbitration, Q. What is Bus arbitration? In this technique,...

Q. What is Bus arbitration? In this technique, I/O interface first needs to control bus and only after that it can request for an interrupt. In this technique because only one

#decoders, #what is decoders? explain with diagram

#what is decoders? explain with diagram

Why a function cannot call a task, Why a function can n ot call a task ...

Why a function can n ot call a task As functions doesn't consume time,it can do any operation which doesn't consume time. Mostly tasks are written that consumes time. So a ta

How to clear computer motherboard cmos password, As CMOS is a special chip ...

As CMOS is a special chip with its own battery, the best way to clear out a CMOS chip is to cut off it from its power supply. To clear the CMOS password you just take away the

Explain busy waiting semaphores, Explain busy waiting semaphores. Weak,...

Explain busy waiting semaphores. Weak, Busy-wait Semaphores: The simplest method to implement semaphores. Useful while critical sections last for a short time, or we

What do you mean by video memory, Q. What do you mean by Video Memory ? ...

Q. What do you mean by Video Memory ? As declared before video memory is also entitled framebuffer since it buffers video frames to be displayed. The quality of a video display

Drawback of the system using disk caching, Q. Drawback of the system using ...

Q. Drawback of the system using disk caching? The main drawback of the system using disk caching is risking loss of updated information in event of machine failures like loss o

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