Answered: How many 14-bit strings (that is, bit…

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

See similar textbooks

Related questions

Question

How many 14-bit strings (that is, bit strings of length 14) are there with: (a) start with sub-string 011? (b) have weight 7 (i.e., contain exactly 7 1’s) and start with the sub-string 011? (c) either start with 011 or end with 01 (or both)? (d) have weight 7 and either start with 011 or end with 01 (or both)?

Expert Solution

Step 1

Here are the answers to each part:

(a) There are 2^(14-3) = 2^11 = 2048 14-bit strings that start with the sub-string 011.

(b) To have weight 7, there must be 7 bits set to 1. There are 7 bits left over after starting with the sub-string 011, so there are 7 choose 7 = 1 ways to place the remaining 1's. So, there is 1 14-bit string with weight 7 that starts with the sub-string 011.

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions