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

show bank type , Describe an abstract class 'Bank' having abstract methods...

Describe an abstract class 'Bank' having abstract methods as 'CreateAccount' 'depositAmount' & 'withDrawAmount'.Add method definitions for 'CalculateInterest' and 'SetInterest' as

Hazard in pipeline - computer architecture, Hazard in pipeline - computer a...

Hazard in pipeline - computer architecture: A hazard in pipeline .-removing a hazard frequently need that some instructions in the pipeline to be permitted to proceed as othe

Explain types of micro-instructions, Q. Explain types of Micro-instructions...

Q. Explain types of Micro-instructions? In general micro-instruction can be classifiedin two general kinds. These are non-branching and branching. After execution of a non-bran

Register-to-register architecture, Register-to-Register Architecture : In t...

Register-to-Register Architecture : In this organization, results and operands are accessed not directly from the main memory by the scalar or vector registers. The vectors which a

How ORG statement processed in two-pass assembly scheme, Can the operand ex...

Can the operand expression in an ORG statement contains forward references? If so, outline how the statement can be processed in a two-pass assembly scheme. ORG that is origin

Which way do twin twist props on a boat rotate, Q. Which way do twin twist ...

Q. Which way do twin twist props on a boat rotate when propelling the boat forward? Answer:- In opposite direction however they are designed to propel the boat forward eve

List out the evaluation order for the expression tree, Draw an expression t...

Draw an expression tree for the string. f + (x+y) *((a+b)/(c-d)). Indicate the register requirement for each node and list out the evaluation order for the expression tree. For

What is a diagonalization language ld, What is a Diagonalization language L...

What is a Diagonalization language LD?  The  diagonalization  language  having  of  all  strings  w  such  that  the  TM  whose  code is w does not accept when w is given as in

Give the organization of centralized store program control, Give the organi...

Give the organization of centralized store program control ( SPC). Within stored program control systems, a program or set of instructions for the computer that is stored in

Command line argument value, Make a console application to show different m...

Make a console application to show different messages depending on the command line argument value. Use Select-case statements.(same to switch block)

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