Homework3

Homework3 - You might consider applying a Karnaugh map. (5)...

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Homework 3 Due 4/28/09 ECE 165, Prof. Buckwalter 1 Problem 1 . Gray coding is used to reduce the probability of error in a communication system. The Gray code maps the word into a new word that is “similar” to its neighbors. In Table 1 , this coding scheme is listed for a 3 bit word. Each Gray code differs from its neighbors by only one bit. If neighboring words are interchanged, only one error is caused. Otherwise, the binary coding scheme results in n errors! A) Construct a combinational circuit to convert an n bit binary code to a Gray code.
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Unformatted text preview: You might consider applying a Karnaugh map. (5) B) Construct a 3b Gray code circuit using ONLY NANDs and inverters. (5) C) Calculate the delay through the gray code circuit for each bit (there are three delays!) assuming the the NAND gates are all minimum size and the load is a) F = 1. (10) b) F = 100. (10) Table 1: Gray Coding Binary [b 2 b 1 b ] Gray Code [g 2 g 1 g ] 000 000 001 001 010 011 011 010 100 110 101 111 110 101 111 100 Homework 3 Due 4/28/09 ECE 165, Prof. Buckwalter 2...
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This note was uploaded on 08/26/2010 for the course ECE ECE 165 taught by Professor Buckwalter during the Spring '09 term at UCSD.

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Homework3 - You might consider applying a Karnaugh map. (5)...

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