Coding and decoding examples

\( \newcommand\) • • • • • Learning Objectives In this section, we will learn to find the inverse of a matrix, if it exists. Later, we will use matrix inverses to solve linear systems. In this section you will learn to • encode a message using matrix multiplication. • decode a coded message using the matrix inverse and matrix multiplication Encryption dates back approximately 4000 years. Historical accounts indicate that the Chinese, Egyptians, Indian, and Greek encrypted messages in some way for various purposes. One famous encryption scheme is called the Caesar cipher, also called a substitution cipher, used by Julius Caesar, involved shifting letters in the alphabet, such as replacing A by C, B by D, C by E, etc, to encode a message. Substitution ciphers are too simple in design to be considered secure today. In the middle ages, European nations began to use encryption. A variety of encryption methods were used in the US from the Revolutionary War, through the Civil War, and on into to modern times. Applications of mathematical theory and methods to encryption became widespread in military usage in the 20 th century. The military would encode messages before sending and the recipient would decode the message, in order to send information about military operations in a manner that kept the information safe if the message was intercepted. In World War II, encryption played an important role, as both Allied and Axis powers sent encrypted messages and devoted significant re...

Coding is the process of encrypting a word, a number, or a pattern in a certain pattern or code based on the rules which are set. The process of decrypting a pattern into its original form from provided codes is known as decoding. Coding and Decoding Types In competitive examinations, you will encounter several sorts of coding and decoding problems. Few of the most prevalent varieties are listed below: Coding from Letter to Letter In this technique of coding and decoding, the letters of the word are coded utilizing different operations including subtraction, addition, interchanging, and many more. Candidates must decode or change the code of other words using the same procedures. Coding from Letters to Numbers A term is assigned numerical code merit, or a number is allocated to alphabetically code letters, in this type of coding-decoding. Substitutional Coding In this type of coding-decoding, words are encrypted or coded with the relevant keyword. Clock Coding In this type of coding-decoding, numbers between 1 to 12 are coded, and inquiries are responded according to clock timing. Binary Coding In this type of coding-decoding, binary values such as 0 and 1 are utilised to encode decimal integers. Conditional Coding In this type of coding-decoding, a few methods will be taught, and applicants must apply all of the provided conditions to obtain the code of a certain word. Letter Positions in the English Alphabet Because a word or a sentence is coded by shifting the locations...

Overview: Qualitative Data Coding In this post, we’ll explain qualitative data coding in simple terms. Specifically, we’ll dig into: • What exactly qualitative data coding is • What different types of coding exist • How to code qualitative data (the process) • Moving from coding to qualitative analysis • Tips and tricks for quality data coding What is qualitative data coding? Let’s start by understanding what a code is. At the simplest level, a code is a label that describes the content of a piece of text. For example, in the sentence: “Pigeons attacked me and stole my sandwich.” You could use “pigeons” as a code. This code simply describes that the sentence involves pigeons. So, building onto this, qualitative data coding is the process of creating and assigning codes to categorise data extracts. You’ll then use these codes later down the road to derive themes and patterns for your qualitative analysis (for example, labelling and grouping similar types of data to make generating themes and analysing the data more manageable. Makes sense? Great. But why should you bother with coding at all? Why not just look for themes from the outset? Well, coding is a way of making sure your data is valid . In other words, it helps ensure that your analysis is undertaken systematically and that other researchers can review it (in the world of research, we call this transparency). In other words, good coding is the foundation of high-quality analysis. What are the different types of codin...

Coding-Decoding In this segment of common sense reasoning, secret messages or words have to be decoded. They are coded as per a definite pattern/ rule which should be identified first. Then the same is applied to decode another coded word. This chapter makes you familiar with every type of problem based on coding-decoding. Example 2.‘GANDHI WAS A GREAT LEADER OF INDIA’ is written as ‘RUFZOJ SUV U RDTUB QTUZTD EP JFZJU’ in the secret code language, then select the appropriate code from the given alternatives for each of the following words. I. STRONG • VBDERE • VBDEER • VBEDFR • VBDEFR II. ISLAND • JVQUFZ • ZFUQVJ • QUFZJV • FUZJVQ Sol: Here each letter of the original sentence is represented by a different code as shown below: Sentence GANDHI WAS A GREAT LEADER OF INDIA Code RUFZOJ SUV U RDTUB QTUZTD EP JFZJU Hence the code for STRONG is VBDEFR and the code for ISLAND is JVQUFZ. Example 4: In a certain code COURAGE is written as UOCREGA. How will JOURNAL be written in that code? • UOJKLAN • UOJRMAN • UOJRLBN • UOJRLAM Solution (1): UOJRLAN Clearly, when COURAGE is coded, some letters are interchanged with respect to their positions, i.e., odd position are interchanged. Position of 1 changes to 3 and 3 to 1. Position of 5 changes to 7 and 7 to 5. Hence, JOURNAL can be coded as UOJRLAN. Example 6: In a given code SISTER is coded as 535301. UNCLE as 84670 and BOY as 129. How is RUSTIC written in that code? • 633185 • 185336 • 363815 • 581363 Solution (2): 185336 In this code,...

What do coding and decoding mean? In logical Reasoning coding and decoding stands superior in various government exams like SBI PO, IBPS PO, RRB Officer Scale, etc. This is a dedicated section that is asked in exams and people find it interesting while solving the questions related to it. The reason behind asking these questions is to check or judge the logical reasoning aptitude of an individual. One should be familiar with alphabetical order either left to right or right to left. This article contains all concepts related to coding and decoding, various solved examples, and some in-hand practice questions. Define Coding and Decoding: Coding and decoding is a process that involves code and decodes any letter, word, number, and sentence by following some set of patterns or rules. It can’t be achieved if one doesn’t have basic knowledge of the process involved in coding and decoding problems . It helps candidates to develop their reasoning skills and ability to focus. When a particular question is asked related to coding-decoding then it holds some hidden tricks which help a candidate to identify it and solve it accordingly. Types of Coding and Decoding: Now, the basic definition of coding and decoding is clear and it is necessary to know about its various type which will help a candidate for better clarification. Therefore, here it goes • • Letter to Number Coding: This process of coding and decoding involves numerical code values allotted to the word or a letter and the s...