**Problem 3: Determining the Minimum Hamming Distance**Objective: Find the minimum Hamming distance \(d\) for the given set of binary codes:**Code Set:**- 01010- 10101- 11111- 00000- 00010### Explanation:The Hamming distance between two binary codes is the number of positions at which the corresponding bits are different. To solve this problem, calculate the Hamming distance between each pair of codes in the set and identify the smallest value obtained.For example, consider the codes 01010 and 10101:- Compare each corresponding bit: - 0 vs 1 → different - 1 vs 0 → different - 0 vs 1 → different - 1 vs 0 → different - 0 vs 1 → differentHamming distance: 5Repeat the process for each pair of codes to find the minimum Hamming distance.

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Find the Minimum Hamming distance d for the following codes: {01010,10101,11111,00000,00010}

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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Concept explainers

Transmission media

A communication channel that transmits data from a source to a recipient is referred to as "transmission media." Electromagnetic impulses are used to transmit data. Transmission media's primary purpose is to transmit data in the form of bits via a local area network (LAN). In data transport, it is the physical link that connects the transmitter and receiver. Transmission medium is part of layer 1 or physical layer of the ISO/OSI (Open System Interconnection) model.

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**Problem 3: Determining the Minimum Hamming Distance**

Objective: Find the minimum Hamming distance \(d\) for the given set of binary codes:

**Code Set:**
- 01010
- 10101
- 11111
- 00000
- 00010

### Explanation:

The Hamming distance between two binary codes is the number of positions at which the corresponding bits are different. To solve this problem, calculate the Hamming distance between each pair of codes in the set and identify the smallest value obtained.

For example, consider the codes 01010 and 10101:

- Compare each corresponding bit:
- 0 vs 1 → different
- 1 vs 0 → different
- 0 vs 1 → different
- 1 vs 0 → different
- 0 vs 1 → different

Hamming distance: 5

Repeat the process for each pair of codes to find the minimum Hamming distance.

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