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nature of mathematics
Questions and Answers of
Nature Of Mathematics
Write the ASCII codes for the capital letters in Problems 31–34.DO
Write the ASCII codes for the capital letters in Problems 31–34.PRINT
Write the ASCII codes for the capital letters in Problems 31–34.END
Write the ASCII codes for the capital letters in Problems 31–34.SAVE
Write the words for the ASCII codes given in Problems 35–38.72 65 86 69
Write the words for the ASCII codes given in Problems 35–38.70 85 78
Write the words for the ASCII codes given in Problems 35–38.83 84 85 68 89
Write the words for the ASCII codes given in Problems 35–38.72 65 82 68
Perform the indicated operations in Problems 39–46. 11 two +10, two
Perform the indicated operations in Problems 39–46. 1011 two +111two two
Perform the indicated operations in Problems 39–46. 110 two + 111 two
Perform the indicated operations in Problems 39–46. 1101,w. wo + 1100, wa
Perform the indicated operations in Problems 39–46. 101, two 11 two
Perform the indicated operations in Problems 39–46. 11011 wo 10110, two
Perform the indicated operations in Problems 39–46. 111 two x 101, two
Perform the indicated operations in Problems 39–46. 10110 two X 1001 two
There is a slogan among computer operators: GIGO (garbage in, garbage out). This phrase reflects the fact that a computer will do exactly what it is told to do. Consider the following humorous
The octal numeration system refers to the base eight system, which uses the symbols 0, 1, 2, 3, 4, 5, 6, 7. Describe a process for converting octal numbers to decimal and decimal to octal.
Convert the numbers in Problems 49–52 to the binary system.a. 5 eight b. 6 eight c. 3 eight d. 7eight
Convert the numbers in Problems 49–52 to the binary system.a. 14 eight b. 56 eight c. 23 eight d. 47eight
Convert the numbers in Problems 53–56 to the octal system.a. 101twob. 100twoc. 010twod. 110two
Convert the numbers in Problems 53–56 to the octal system.a. 011twob. 001twoc. 000twod. 111two
Convert the numbers in Problems 53–56 to the octal system.a. 000 000 111 111 101 000twob. 100 000 000 101 110 111two
Convert the numbers in Problems 53–56 to the octal system.a. 111 111 011 101 010 001two b. 100 101 011 001 010 111two
Table 4.11 will enable you to determine anyone’s age. Just hand Table 4.11 to a person and ask that person to tell you in which column or columns their age appears. Using this information only, how
Table 4.12 illustrates a set of Braille numerals, along with the Braille number sign. The raised bumps occur in one of four spaces in a 3 × 2 cell. Look at Table 4.12 and decide if there is any
Look at the five cards shown in Figure 4.4. Card 1 1 9 17 25 Card 4 8 35 12 11 13 18 21 23 7 15 27 29 31 9 Card 3 4 12 20 10 11 13 14 15 24 25 26 27 28 29 30 31 in Card 2 7 10 11 14 15 18 19 6 2 26 5
You will need to use a pair of scissors for this problem. Construct the five cards shown in Figure 4.5. Card 1 YES 1 5 9 13 Card 3 YES 4 6 12 14 3 7 II 15 14 15 12 13 5 7 13 15 16 17 18 19 20 21 22
Describe some of the computing devices that were used before the invention of the electronic computer.
Distinguish between hardware and software.
What does the CPU in a computer do?
What are input and output devices?
What is the difference between ROM and RAM?
Give at least one example of each of the following computer functions: data processing, information retrieval, pattern recognition, and simulation.
What are five common uses for a computer at home? Describe the purpose of each.
What are five common uses for a computer in the office? Describe the purpose of each.
It has been said that “computers influence our lives increasingly every year, and the trend will continue.” Do you see this as a benefit or a detriment to humanity? Explain your reasons.
A heated controversy rages about the possibility of a computer actually thinking. Do you believe that is possible? Do you think a computer can eventually be taught to be truly creative?
Use finger multiplication to do the calculations shown in Problems 11–14.a. 3 × 9b. 7 × 9c. 6 × 9
Use finger multiplication to do the calculations shown in Problems 11–14.a. 5 × 9b. 8 × 9c. 9 × 9
Use finger multiplication to do the calculations shown in Problems 11–14.a. 27 × 9b. 48 × 9c. 56 × 9
Use finger multiplication to do the calculations shown in Problems 11–14.a. 35 × 9b. 47 × 9c. 68 × 9
Arrange the development of the following computers in chronological order of their first appearance.Altair, Cray, ENIAC, Apple, and UNIVAC
Many names were mentioned in this section. Give a brief description for each person named in Problems 16–33, telling what each person contributed to the development of computers.Paul Allen
Many names were mentioned in this section. Give a brief description for each person named in Problems 16–33, telling what each person contributed to the development of computers.Aristophanes
Many names were mentioned in this section. Give a brief description for each person named in Problems 16–33, telling what each person contributed to the development of computers.John Atanasoff
Many names were mentioned in this section. Give a brief description for each person named in Problems 16–33, telling what each person contributed to the development of computers.Charles Babbage
Many names were mentioned in this section. Give a brief description for each person named in Problems 16–33, telling what each person contributed to the development of computers.Paul Baran
Many names were mentioned in this section. Give a brief description for each person named in Problems 16–33, telling what each person contributed to the development of computers.Clifford Berry
Many names were mentioned in this section. Give a brief description for each person named in Problems 16–33, telling what each person contributed to the development of computers.Steward Brand
Many names were mentioned in this section. Give a brief description for each person named in Problems 16–33, telling what each person contributed to the development of computers.Seymour Cray
Many names were mentioned in this section. Give a brief description for each person named in Problems 16–33, telling what each person contributed to the development of computers.J. Presper Eckert
Many names were mentioned in this section. Give a brief description for each person named in Problems 16–33, telling what each person contributed to the development of computers.Douglas Engelbart
Many names were mentioned in this section. Give a brief description for each person named in Problems 16–33, telling what each person contributed to the development of computers.Bill Gates
Many names were mentioned in this section. Give a brief description for each person named in Problems 16–33, telling what each person contributed to the development of computers.Steven Jobs
Many names were mentioned in this section. Give a brief description for each person named in Problems 16–33, telling what each person contributed to the development of computers.Tim Berners-Lee
Many names were mentioned in this section. Give a brief description for each person named in Problems 16–33, telling what each person contributed to the development of computers.Gottfried Leibniz
Many names were mentioned in this section. Give a brief description for each person named in Problems 16–33, telling what each person contributed to the development of computers.John Mauchly
Many names were mentioned in this section. Give a brief description for each person named in Problems 16–33, telling what each person contributed to the development of computers.John Napier
Many names were mentioned in this section. Give a brief description for each person named in Problems 16–33, telling what each person contributed to the development of computers.Blaise Pascal
Many names were mentioned in this section. Give a brief description for each person named in Problems 16–33, telling what each person contributed to the development of computers.Blaise Pascal
Problems 34–45 list a specific task. Decide whether a computer should be used, and, if so, is it because of the computer’s speed, complicated computations, repetition, or some other
Problems 34–45 list a specific task. Decide whether a computer should be used, and, if so, is it because of the computer’s speed, complicated computations, repetition, or some other
Problems 34–45 list a specific task. Decide whether a computer should be used, and, if so, is it because of the computer’s speed, complicated computations, repetition, or some other
Problems 34–45 list a specific task. Decide whether a computer should be used, and, if so, is it because of the computer’s speed, complicated computations, repetition, or some other
Problems 34–45 list a specific task. Decide whether a computer should be used, and, if so, is it because of the computer’s speed, complicated computations, repetition, or some other
Problems 34–45 list a specific task. Decide whether a computer should be used, and, if so, is it because of the computer’s speed, complicated computations, repetition, or some other
Problems 34–45 list a specific task. Decide whether a computer should be used, and, if so, is it because of the computer’s speed, complicated computations, repetition, or some other
Problems 34–45 list a specific task. Decide whether a computer should be used, and, if so, is it because of the computer’s speed, complicated computations, repetition, or some other reason?Typing
Problems 34–45 list a specific task. Decide whether a computer should be used, and, if so, is it because of the computer’s speed, complicated computations, repetition, or some other
Problems 34–45 list a specific task. Decide whether a computer should be used, and, if so, is it because of the computer’s speed, complicated computations, repetition, or some other
Problems 34–45 list a specific task. Decide whether a computer should be used, and, if so, is it because of the computer’s speed, complicated computations, repetition, or some other
Problems 34–45 list a specific task. Decide whether a computer should be used, and, if so, is it because of the computer’s speed, complicated computations, repetition, or some other
Problems 46–50 are multiple-choice questions designed to get you to begin thinking about computer use and abuse.As part of a patient monitoring system in a local hospital, the computer(a)
Problems 46–50 are multiple-choice questions designed to get you to begin thinking about computer use and abuse.Computers are capable of organizing large amounts of data. Which of the following
Problems 46–50 are multiple-choice questions designed to get you to begin thinking about computer use and abuse.Karlin Publishing purchased a program for its computer that would enable it to
Problems 46–50 are multiple-choice questions designed to get you to begin thinking about computer use and abuse.Melissa knew that if she flunked mathematics she would be ineligible to play in her
Problems 46–50 are multiple-choice questions designed to get you to begin thinking about computer use and abuse.One example of computer abuse is categorized as assuming that computers are largely
Have you ever been told that something is right because the computer did it? For example, suppose I have my computer print, THE VALUE OF π IS 3.141592. Is this statement necessarily correct? What
Definitions for “thinking” are given. According to each of the given definitions, answer the question, “Can computers think?”a. To rememberb. To subject to the process of logical
What do you mean by “thinking” and “reasoning”? Try to formulate these ideas as clearly as possible, and then discuss the following question:“Can computers think or reason?”
In his book Future Shock, Alvin Toffler divided humanity’s time on earth into 800 lifetimes. The 800th lifetime, in which we now live, has produced more knowledge than the previous 799 combined,
In his article “Toward an Intelligence Beyond Man’s” (Time, February 20, 1978), Robert Jastrow claimed that by the 1990s computer intelligence would match that of the human brain. He quoted
One of the things that can go wrong when we use a computer is due to machine error. Such errors can be caused by an electrical surge or a power failure. Talk to some users of computers and gather
It is possible that a computer can make a mistake due to a programming error. There are three types of programming errors: syntax errors, run-time errors, and logic errors. Do some research and write
One category of possible computer errors includes data errors or input errors. What is meant by this type of error?
Invent an original numeration system.
Organize a debate. One side represents the algorists and the other side the abacists. The year is 1400. Debate the merits of the Roman numeration system and the Hindu-Arabic numeration system.
Organize a debate. The issue: “Resolved: Computers can think.”
In a now famous paper, Alan Turing asked, “What would we ask a computer to do before we would say that it could think?” In the 1950s Turing devised a test for “thinking” that is now known as
Construct an exhibit on ancient computing methods. Some suggestions for your exhibit are charts of sample computations by ancient methods, pebbles, tally sticks, tally marks in sand, Roman number
Write a paper discussing the Egyptian method of multiplication.
What are some of the significant events in the development of mathematics? Who are some famous people that have contributed to mathematical knowledge?
The people from the Long Lost Land had only the following four symbols: , A, *, O Write out the first 20 numbers. Find a. + b. * x * (Use your imagination to invent a system to answer these
Is it possible to have a numeration system with a base that is negative?
“I became operational at the HAL Plant in Urbana, Ill., on January 12, 1997,” the computer HAL declares in Arthur C. Clarke’s 1968 novel, 2001: A Space Odyssey. Now that time has passed and
Software bugs (for example, the Y2KMillennium Bug) can have devastating effects. Write a paper on some famous software bugs and some of the problems that they have caused.
Build a working model of Napier’s rods.
Write a paper and prepare a classroom demonstration on the use of an abacus. Build your own device as a project.
Write a paper on the invention of the first electronic computer.
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