Question

Prepare a Maths Project on topic ' CRYPTARITHM ' ( having introduction - What is Cryptarithm , Content - How to solve it and Various types with 3 examples , Conclusion - Who invented ? )​

Answer 1

Answer:

Step-by-step explanation:

What are cryptarithms?

Cryptarithms are puzzles where you are given an arithmetical expression where the digits have been replaced by letters, each digit a different letter.

Answer 2

CRYPTARITHM

Introduction -

• It is a problem that involves substituting letters for numbers and finding all possible combinations of digits and letters that produce a numerically correct answer.
• The earliest cryptographic algorithms were discovered in Ancient China, but they are thought to have been invented in the United States in 1864.
• Originally, many of these cryptarithms had a "Hindu" foundation.

Solving Cryptarithms -

• The same letter is substituted for identical digits, and different letters are substituted for different digits.
• The arithmetic expression resulting from replacing all letters with digits must be correct mathematically.
• There can never be a 0 before a number. For instance, 0321 is invalid.
• Problems must only ever have one solution unless explicitly stated otherwise.
• Unless otherwise specified, each problem will be in base 10; that is, some or all of the 10 digits - 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 - will be replaced by the letters.

Types of Cryptarithms -

• Alphametic - An encoding method that uses a set of words as an additional sum or other mathematical problem. To make an arithmetic sum, replace each letter with a digit.
• Digimetic - In this, the digits are used to replace other digits.
• Skeletal Division - The division of a long number into symbols (mostly asterisks), thus forming a cryptarithm.
• Reverse Cryptarithm - It's a variant in which a formula is written and the result is the cryptarithm whose solution is the formula given.

Conclusion -

• Cryptarithmic puzzles are very old and their creator is obscure. An 1864 model in The American Agriculturist negates the famous thought that it was designed by Sam Loyd.
• The name "cryptarithm" was begotten by puzzlist Minos (nom de plume Simon Vatriquant) in the May 1931 issue of Sphinx, a Belgian magazine of sporting science, and was interpreted as "cryptarithmetic" by Maurice Kraitchik in 1942.
• In 1955, J. A. H. Tracker presented "alphametic" to assign cryptarithms, for example, Dudeney's, whose letters structure significant words or expressions.

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