Shannon Information Theory IELTS Reading Answers

Table of Contents

Passage

A A satellite in the solar system got pictures of Jupiter and Saturn and the pictures were meant to be sent back to the earth. Unfortunately, the satellite was broken so it took a while for the earth to receive the collected photographs. And eventually, the malfunctioning satellite was off the solar system. All this information transmitting technology should be credited to Claude E. Shannon(1916-2001) and his information theory.

B Shannon was born in Petoskey, Michigan. His father, Claude Sr (1862-1934), a descendant of the early New Jersey settlers, was a self-made businessman and for a while, Judge of Probate. Shannon showed an inclination towards mechanical things. His best subjects were science and mathematics, and at home he constructed such devices as models of planes, a radio-controlled model boat and a wireless telegragh system to a friend’s house half a mile away. While growing up, he worked as a messenger for Western Union. His childhood hero was Thomas Edison, who he later learned was a distant cousin. Both were descendants of John Ogden, a colonial leader and an ancestor of many distinguished people.

C Shannon first began his research in the information field just to distinguish the correctness of a piece of information. The main concepts of information theory can be grasped by considering the most widespread means of human communication: language. Two important aspects of a concise language are as follows: First, the most common words (e.g., “a”, “the”, “I”) should be shorter than less common words(e.g., “roundabout”, “generation”, “mediocre”), so that sentences will not be too long. Such a tradeoff in word length is analogous to data compression and is the essential aspect of source coding. Second, if part of a sentence is unheard or misheard due to noise, e.g., a passing car, the listener should still be able to glean the meaning of the underlying message. Such robustness is as essential for an electronic communication system as it is for a language; properly building such robustness into communications is done by channel coding. Source coding and channel coding are the fundamental concerns of information theory.

D Note that these concerns have nothing to do with the importance of messages. For example, a platitude such as “Thank you; come again” takes about as long to say or write as the urgent plea, “Call an ambulance!” while the latter may be more important and more meaningful in many contexts. Information theory, however, does not consider message importance or meaning, as these are matters of the quality of data rather than the quantity and readability of data, the latter of which is determined solely by probabilities.

Shannon information theory
Shannon information theory

E Information theory is closely associated with a collection of pure and applied disciplines that have been investigated and reduced to engineering practice under a variety of rubrics throughout the world over the past half century or more: adaptive systems, anticipatory systems, artificial intelligence, complex systems, complexity science, cybernetics, informatics, machine learning, along with systems sciences of many descriptions. Information theory is a broad and deep mathematical theory, with equally broad and deep applications, amongst which is the vital field of coding theory.

F Coding theory is concerned with finding explicit methods, called codes, of increasing the efficiency and reducing the net error rate of data communication over a noisy channel to near the limit that Shannon proved is the maximum possible for that channel. These codes can be roughly subdivided into data compression (source coding) and error-correction (channel coding) techniques. The rate of transmitting information relies on the amount of noise. In the latter case, it took many years to find the methods Shannon’s work proved were possible. A third class of information theory codes are cryptographic algorithms (both codes and ciphers). Concepts, methods and results from coding theory and information theory are widely used in cryptography and cryptanalysis. See the article ban (information) for a historical application. Information theory is also used in information retrieval, intelligence gathering, gambling, statistics, mobile phones and even in musical composition.

G A key measure of information is known as entropy, which is usually expressed by the average number of bits needed to store or communicate one symbol in a message. Entropy quantifies the uncertainty involved in predicting the value of a random variable. For example, specifying the outcome of a fair coin flip (two equally likely outcomes) provides less information (lower entropy) than specifying the outcome from a roll of a die (six equally likely outcomes). Applications of fundamental topics of information theory include lossless data compression (e.g. ZIP files), lossy data compression (e.g. MP3s and JPGs), and channel coding (e.g. for Digital Subscriber Line (DSL)). The field is at the intersection of mathematics, statistics, computer science, physics, neurobiology, and electrical engineering. Its impact has been crucial to the success of the Voyager missions to deep space, the invention of the compact disc, the feasibility of mobile phones, the development of the Internet, the study of linguistics and of human perception, the understanding of black holes, and numerous other fields. Important subfields of information theory are source coding, channel coding, algorithmic complexity theory, algorithmic information theory, informationtheoretic security, and measures of information.

Questions

Question 27-32 The reading Passage has seven paragraphs A-G. Which paragraph contains the following information? Write the correct letter A-G, in boxes 27-32 on your answer sheet.

NB You may use any letter more than once.

27 the process of condensing data

28 Dispensable roles of information theory in many areas

29 Easiness of reading data

30 Numerous subjects concerning information theory

31 Charmel coding as a branch of information theory

32 Aspects specializing in coding theory

Questions 33-37 Complete the following summary of the paragraphs of Reading Passage, using no more than three words from the Reading Passage for each answer. Write your answers in boxes 33-37 on your answer sheet.

In the 33 ……………….. , a 34 ……………….. was sent to gather photographs of Jupiter and Saturn and the pictures were meant to be sent back to the earth. However, there was something unexpected with the satellite so that the photographs which were 35 ……………….. did not reach the earth as planned. At the end, the 36 ……………….. satellite went out of the solar system. Thanks to Claude E.Shannon and his information theory that the 37 ……………….. could contribute to accomplishing the demanding task.

Questions 38-40 Do the following statements agree with the information given in Reading Passage 3? In boxes 38-40 on your answer sheet, write

TRUE if the sataement agrees with the information

FALSE if the statement contradicts the information

NOT GIVEN if there is no information on this

38 The original purpose that drove Shannon to begin his research was to tell whether the information was correct.

39 The amount of information through transmitting is determined by the level of noise.

40 Nearly all fields are concerning information theory.

Answers

Below are the answers, key words, synonyms and full explanations for the IELTS Reading passage Shannon: Information Theory (Passage 3, Questions 27–40).

Questions 27–32: Matching Information (Paragraphs A–G)

27. The process of condensing data

Answer: C

Key words: tradeoff in word length, data compression, source coding

Synonyms: condensing data = “Such a tradeoff in word length is analogous to data compression and is the essential aspect of source coding”

Explanation: Paragraph C explains data compression (shorter common words).

28. Dispensable roles of information theory in many areas

Answer: G

Key words: crucial to Voyager, CD, mobile phones, Internet, numerous other fields

Synonyms: roles in many areas = “Its impact has been crucial to the success of the Voyager missions … the invention of the compact disc … the development of the Internet … and numerous other fields”

Explanation: Paragraph G lists the many areas where information theory has an impact.

29. Easiness of reading data

Answer: D

Key words: readability of data, determined by probabilities

Synonyms: easiness of reading = information theory concerns “the quantity and readability of data, the latter of which is determined solely by probabilities”

Explanation: Paragraph D mentions the “readability” of data.

30. Numerous subjects concerning information theory

Answer: E

Key words: adaptive systems, AI, cybernetics, machine learning

Synonyms: numerous subjects = “a collection of pure and applied disciplines … adaptive systems, anticipatory systems, artificial intelligence, complex systems … cybernetics … machine learning”

Explanation: Paragraph E lists the many disciplines linked to information theory.

31. Channel coding as a branch of information theory

Answer: G

Key words: channel coding (e.g. for DSL), subfields

Synonyms: channel coding branch = “channel coding (e.g. for Digital Subscriber Line (DSL)) … Important subfields of information theory are source coding, channel coding …”

Explanation: Paragraph G names channel coding as a subfield of information theory.

32. Aspects specializing in coding theory

Answer: F

Key words: coding theory, codes, source coding, error-correction, cryptographic

Synonyms: aspects of coding theory = “Coding theory is concerned with finding explicit methods, called codes … data compression (source coding) and error-correction (channel coding) techniques”

Explanation: Paragraph F details the parts of coding theory.

Questions 33–37: Summary Completion (NO MORE THAN THREE WORDS)

33. In the ………

Answer: solar system

Key words: a satellite in the solar system

Synonyms: location = “A satellite in the solar system got pictures of Jupiter and Saturn”

Explanation: The event happened in the solar system.

34. A ……… was sent to gather photographs

Answer: satellite

Key words: a satellite got pictures

Synonyms: was sent = “A satellite … got pictures of Jupiter and Saturn”

Explanation: A satellite collected the photographs.

35. The photographs which were ……… did not reach the earth as planned.

Answer: collected

Key words: the collected photographs

Synonyms: which were = “it took a while for the earth to receive the collected photographs”

Explanation: The collected photographs were delayed.

36. At the end, the ……… satellite went out of the solar system.

Answer: malfunctioning

Key words: the malfunctioning satellite was off the solar system

Synonyms: broken = “the malfunctioning satellite was off the solar system”

Explanation: The faulty (malfunctioning) satellite left the solar system.

37. Thanks to Shannon’s information theory that the ……… could contribute to the task.

Answer: information transmitting technology

Key words: all this information transmitting technology credited to Shannon

Synonyms: could contribute = “All this information transmitting technology should be credited to Claude E. Shannon”

Explanation: The information-transmitting technology made the task possible.

Questions 38–40: True / False / Not Given

38. The original purpose that drove Shannon to begin his research was to tell whether the information was correct.

Answer: TRUE

Key words: began his research just to distinguish the correctness

Synonyms: tell whether correct = “Shannon first began his research in the information field just to distinguish the correctness of a piece of information”

Explanation: His first aim was to judge whether information was correct.

39. The amount of information through transmitting is determined by the level of noise.

Answer: FALSE

Key words: the rate of transmitting information relies on the amount of noise

Synonyms: rate, not amount = the passage says “The rate of transmitting information relies on the amount of noise” — it is the RATE, not the AMOUNT, that noise determines.

Explanation: Noise affects the transmission rate, not the amount of information, so the statement is false.

40. Nearly all fields are concerning information theory.

Answer: NOT GIVEN

Key words: numerous other fields

Synonyms: The passage says information theory is used in many/”numerous” fields, but never claims “nearly all” fields.

Explanation: “Nearly all fields” is not stated → NOT GIVEN.

Answer Key (Quick Reference)

QAnswerQAnswer
27C34satellite
28G35collected
29D36malfunctioning
30E37information transmitting technology
31G38TRUE
32F39FALSE
33solar system40NOT GIVEN

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