A four-bit code word is any sequence of four digits, where each digit is either a 0 or a 1. For example, 0100 and 1011 are four-bit code words. Complete parts (a) through (d) below (a) How many different four-bit code words are there? 16 (b) How many different six-bit code words, such as 001011, are there? 64 (c) If a vocabulary of 1000 code words is required, how long must the words be? At least bits.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A four-bit code word is any sequence of four digits, where each digit is either a 0 or a 1. For example, 0100 and 1011 are four-bit code words. Complete parts (a) through (d) below.
(a) How many different four-bit code words are there?
16
(b) How many different six-bit code words, such as 001011, are there?
64
(c) If a vocabulary of 1000 code words is required, how long must the words be?
At least
bits.
Transcribed Image Text:A four-bit code word is any sequence of four digits, where each digit is either a 0 or a 1. For example, 0100 and 1011 are four-bit code words. Complete parts (a) through (d) below. (a) How many different four-bit code words are there? 16 (b) How many different six-bit code words, such as 001011, are there? 64 (c) If a vocabulary of 1000 code words is required, how long must the words be? At least bits.
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