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

What is the draw back of micro programmed control, What is the draw back of...

What is the draw back of micro programmed control? It leads to a slower operating speed because of the time it takes to fetch microinstructions from the control store.

What is booting, What is booting? When the power is turned on, the OS h...

What is booting? When the power is turned on, the OS has to be loaded into the main memory which is taken place as part of a process known as booting. To initiate booting a tin

Interconnection networks, As in PRAM there was not any direct communication...

As in PRAM there was not any direct communication medium between processors so a different model called as interconnection networks have been considered. In the interconnection net

What is read only memory, Read only memory (ROM) ROM holds the instruct...

Read only memory (ROM) ROM holds the instructions for starting up the computer. This sort of memory can only be read and can't be altered (that implies deleted or written to) a

Determine the 2's complement subtraction, Perform 2's complement subtractio...

Perform 2's complement subtraction of (7) 10 - (11) 10 . Ans. 2's Complements Subtraction of (7) 10 - (11) 10 Firstly convert the decimal numbers 7 and 11 to there binary e

Explain the working of light pens, Explain the working of light pens Li...

Explain the working of light pens Light pens still exist, but due to several disadvantages they are not as popular as other input devices that have been developed. For example,

client will now send ten integers , Change this program so that every clie...

Change this program so that every client will now send ten integers and receives their sum from the server. In Java, for loops can be easily executed as follows: for (int i = 0 ; i

Explain the methods of implementing interacting processes, Explain any two ...

Explain any two methods of implementing interacting processes. Two methods of implementing interacting process are given below: (i) Shared memory solution: In this scheme

Explain the main part of step by step switching system, Explain the main pa...

Explain the main part of configuration of a step by step switching system with the help of a neat diagram . Configuration of a step by step switching system: A step

Find the simplified function, Q. F' (A, B, C, D) = (A + B + D')(A + C' + D'...

Q. F' (A, B, C, D) = (A + B + D')(A + C' + D')(A + B' + C')        D' (A, B, C, D) = (A + B' + C + D')(A' + C' + D')(A' + B + D)        Find the simplified function F and imple

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