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:

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'

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

State the advantages Off-the-shelf -  tends to be less expensive as development costs can be spread over many users -  can be more sophisticated as large sales bring in c

Explain the working of interpreter, Explain the working of Interpreter? ...

Explain the working of Interpreter? The Interpreter is a program that executes instructions written in a high-level language. There are two manners to run programs written in a

What is generalization, What is generalization? Generalization is a rel...

What is generalization? Generalization is a relationship among a class (super class) and one or more variations of the class (sub classes).It arrange classes by similarities an

Is it possible to pass data and include program explicitly, Is it possible ...

Is it possible to pass data to and from include programs explicitly? No.  If it is needed to pass data to and from modules it is needed to use subroutines or function modules.

What is gdpro and magicdraw uml, What is GDPro and  MagicDraw UML GDP...

What is GDPro and  MagicDraw UML GDPro : This  is a full suite of code  management tools and UML. MagicDraw UML: UML diagrams fully support this: MagicDraw RConverter a

Determine about the memory stack, Memory Stack Stack could exist as a s...

Memory Stack Stack could exist as a stand-alone unit or could be executed in a random-access memory attached to the CPU. The implementation of a stack in a CPU is done by assig

Example of unification, Example of Unification: Let now here, assume i...

Example of Unification: Let now here, assume instead that we had these two sentences as:  knows(john,X) → hates(john, X)  knows(jack, mary)  Thus here the predicate n

How are connections managed in orbix connect, The Orbix Connect resource ad...

The Orbix Connect resource adapter is packaged as a standard J2EE Connector Architecture resource adapter archive (RAR) file, corbaconn.rar. The corbaconn.rar file having all the c

Explain in detail about first generation electronic computer, First Generat...

First Generation Electronic Computers (1937-1953) Three machines have been promoted at different times as first electronic computers. These machines used electronic switches

What is software quality assuranc, Software QA includes the whole software ...

Software QA includes the whole software development PROCESS - improving and monitoring the process, making sure that any agreed-upon standards and processes are followed, and ensur