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

Explain about parity bit, Q. Explain about Parity bit? Parity bit is an...

Q. Explain about Parity bit? Parity bit is an error detection bit added to binary data such that it creates total number of 1's in the data either odd or even. For illustration

Computer peripherals, Describe the 8251 A programmable communication interf...

Describe the 8251 A programmable communication interface

Write miss policy - cache memories, WRITE MISS POLICY:   Write allo...

WRITE MISS POLICY:   Write allocate   fetch on write   fetch entire block, then write word into block   allocate a new block on each writ   allocate block, but

Different ways in which a thread can be cancelled, What are the different w...

What are the different ways in which a thread can be cancelled?  Cancellation of a target thread may occur in two different scenarios: Asynchronous cancellation: One thre

Give difference between assembler and compiler, Give difference between ass...

Give difference between assembler and compiler. Assembler: It is the translator for an assembly language of computer. An assembly language is a low-level programming language

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

What is a digital multiplexer?  Ans: Multiplexer: Data selector or MUX is a logic circuit selects binary information from one of several input and directs this to a sing

Explain scripts and libraries introduction, Scripts A script within Rati...

Scripts A script within Rational Robot is a file that haves a sequence of SQABasic code. The extension of the file is always ".REC". Typically the script have an automated testc

Example of time division multiplexing, Two computers using TDM take up turn...

Two computers using TDM take up turns to send 100-bytes packet over a shared channel that operates at 64000 bits per second. The hardware takes 100 microseconds after one computer

Instruction issue degree in superscalar processing, Q. Instruction Issue de...

Q. Instruction Issue degree in superscalar processing? The major concept in superscalar processing is how many instructions we are able to issue per cycle. If we are able to is

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