a) What is the size of the code, i.e., how many different words are there? b) The Hamming weight of a binary word is the number of l's it contains. How many words in the code have Hamming weight 4? c) How many codewords have Hamming weight of at least 3?

a) What is the size of the code, i.e., how many different words are there? b) The Hamming weight of a binary word is the number of l's it contains. How many words in the code have Hamming weight 4? c) How many codewords have Hamming weight of at least 3?

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Let a “binary code” be the set of all binary words, each consisting of 6 bits (i.e., 0 or 1 digits). For example, 001101 is a word in this code.

a) What is the size of the code, i.e., how many different words are there?
b) The Hamming weight of a binary word is the number of l's it contains. How many
words in the code have Hamming weight 4?
c) How many codewords have Hamming weight of at least 3?

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