Design a BCD to excess 3 code converter using NAND gates, Computer Engineering

Assignment Help:

Design a BCD to excess 3 code converter using minimum number of NAND gates.

Hint: use k map techniques.

Ans. Firstly we make the truth table:

BCD no

A B C D

EXCESS-3 NO

W X Y Z

0 0 0 0

0 0 1 1

0 0 0 1

0 1 0 0

0 0 1 0

0 1 0 1

0 0 1 1

0 1 1 0

0 1 0 0

0 1 1 1

0 1 0 1

1 0 0 0

0 1 1 0

1 0 0 1

0 1 1 1

1 0 1 0

1 0 0 0

1 0 1 1

1 0 0 1

1 1 0 0

After that by using K maps we can get simplified functions for w, x, y, z shown below as:

363_Design a BCD to excess 3 code converter using NAND gates.png

                                                 NAND gate implementation for simplified function

W = BD + AD + AB' + BC
Through complementing twice we find
W = ((BD + AD + AB' + BC)')'

= ((BD)' . (AD)' . (AB')' . (BC)')' X = BC'D + B'D + B'C

Through complementing twice we find
X = BC'D + B'D + B'C

= ((BC'D)' . (B'D)' . (B'C)')'

Y = C'D' + CD

= ((C'D')' + (CD)')'

Z = D'

2241_Design a BCD to excess 3 code converter using NAND gates12.png

Logic diagram for BCD to excess 3 code converter using minimum number of NAND gates


Related Discussions:- Design a BCD to excess 3 code converter using NAND gates

Planning too much up front a mistake in an oosad, You can't plan only for t...

You can't plan only for the present phase of the project as your future activities are still coarse granular. To have good planning you require to have fine granularity w.r.t the t

What is a digital comparator, What is a digital comparator? Ans: ...

What is a digital comparator? Ans: Digital Comparator: The comparison of two numbers is an operation which evaluates if one number is greater than, less than, or equival

What is a lambda expression, A Lambda expression is not anything but an Ano...

A Lambda expression is not anything but an Anonymous Function, can have expressions and statements. Lambda expressions can be used mostly to make delegates or expression tree types

Describe five bit even parity checker, Describe five bit even parity checke...

Describe five bit even parity checker. Ans: Five bit even parity checker: EX-OR gates are utilized for checking the parity as they generate output 1, while the input ha

List-processing without using suppress-dialog, What happens if we use Leave...

What happens if we use Leave to list-processing without using Suppress-Dialog? If we don't use Suppress-Dialog to next screen will be viewed but as empty, when the user presse

Explain basic working of mainframes, Q. Explain Basic working of Mainframes...

Q. Explain Basic working of Mainframes? Mainframe computers are normally 32-bit machines or higher. These are suited to large organizations, to manage high volume applications.

Name some pure object oriented languages, Some pure object oriented languag...

Some pure object oriented languages are Smalltalk, Eiffel,  Java, Sather.

Implicative normal form, Implicative normal form: Thus the sentence is...

Implicative normal form: Thus the sentence is now in CNF. In Fact for simplification can take place by removing duplicate literals and dropping any clause that contains both A

Explain the concept of process, The Concept of Process Unofficially a p...

The Concept of Process Unofficially a process is a program in execution subsequent to the program has been loaded in the main memory. Though a process is more than just a progr

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