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

Organization structure, organization stucture of vardhman and oswal mills.c...

organization stucture of vardhman and oswal mills.compare and contrast them

Java, differentiate between multitasking and multithreading in java

differentiate between multitasking and multithreading in java

Explain the term electronic data interchange (edi), Explain the term Electr...

Explain the term Electronic Data Interchange (EDI). Electronic Data Interchange (EDI) may be generally easy to understand as the replacement of paper-based purchase orders alon

Concurrently read concurrently write, Q. Concurrently read concurrently wri...

Q. Concurrently read concurrently write? It is one of the models derived from PRAM. In this model the processors access the memory locations simultaneously for reading and writ

What is the advantage of dividing an email address, What is the advantage o...

What is the advantage of dividing an email address into two parts? The division of an e-mail address in two parts is significant since it achieve two objectives. First, the div

Features and utilities available in java, Explain the features and utilitie...

Explain the features and utilities available in java, which makes it suitable for developing e-commerce applications.     1.  In a network, the transmission of passive informati

DFD, Define software architecture and describe which types of architectures...

Define software architecture and describe which types of architectures can be used in Email or Facebook applications

What is dispatch unit, What is dispatch unit? A separate unit which we ...

What is dispatch unit? A separate unit which we call the dispatch unit fetch instructions from the front of the queue and sends them to the execution unit. The dispatch unit al

large block , Given a RAID 3 (bit-interleaved parity) with k disks, how we...

Given a RAID 3 (bit-interleaved parity) with k disks, how well will large block transmits work? How well will it handle a high I/O request rate? Compare the performance to a one di

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