Question

для кодирования некоторой последовательности состоящей из букв а б в г д е ж решили использовать неравномерный двоичный код ужовлетворяющий условию Фано для букв а б в г использовали соответсвенные кодовые слова 00 010 011 11 укажите кратчайшее возможное кодовое слово для буквы д при котором код будет допускать однозначное декодирование. если таких кодов несколько, укажите код с наименьшим числовым значением

Answer 1

Ответ:

101

Объяснение:

Для решения такого типа задач проще всего рисовать дерево.

Answer 2

Fano Coding for a Sequence of Letters

To encode a sequence of letters using a non-uniform binary code that satisfies the Fano condition, we need to assign code words to each letter in such a way that the code allows for unambiguous decoding. In this case, the letters used are "а", "б", "в", "г", "д", "е", and "ж", and their corresponding code words are "00", "010", "011", "11".

To find the shortest possible code word for the letter "д" that allows for unambiguous decoding, we need to consider the Fano condition. The Fano condition states that no code word should be a prefix of another code word. In other words, no code word should be a starting substring of another code word.

Let's analyze the given code words: - "00" is the code word for "а". - "010" is the code word for "б". - "011" is the code word for "в". - "11" is the code word for "г".

To find the shortest possible code word for "д", we need to ensure that "д" does not share a common prefix with any of the existing code words. Since "д" does not share a common prefix with any of the existing code words, we can assign it the code word "1".

Therefore, the shortest possible code word for the letter "д" that allows for unambiguous decoding is "1".

Please note that this answer is based on the given information and the Fano condition.