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Digital Techniques: Binary and Numbering Systems
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Digital Techniques: Binary and Numbering Systems

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Questions and Answers

What is the number of bits in a Nibble?

  • 8
  • 16
  • 2
  • 4 (correct)
  • What is the base of the binary numbering system?

  • 2 (correct)
  • 8
  • 16
  • 10
  • How many bits are in a Word?

  • 16 (correct)
  • 64
  • 32
  • 8
  • What is used to determine the value of a position in the decimal system?

    <p>Powers of 10</p> Signup and view all the answers

    What is the number of bits in a Byte?

    <p>8</p> Signup and view all the answers

    How many bits are in a Very long word?

    <p>64</p> Signup and view all the answers

    What is used to convert binary to decimal?

    <p>Decimal truth table</p> Signup and view all the answers

    What is the equivalent of a Long word in bits?

    <p>2 x Word</p> Signup and view all the answers

    What is the primary difference between analogue and digital representation of waveforms?

    <p>Digital uses discrete numerical values, while analogue uses continuously changing values</p> Signup and view all the answers

    What is the number of possible values that can be represented with 3 bits in the binary number system?

    <p>8</p> Signup and view all the answers

    What is the term for a group of 4 bits in the binary number system?

    <p>Nibble</p> Signup and view all the answers

    What is the purpose of converting decimal numbers to binary numbers in a computer?

    <p>To allow the computer to perform calculations</p> Signup and view all the answers

    Why do computers use binary, octal, and hexadecimal number systems?

    <p>Because they are necessary for computer function and operation</p> Signup and view all the answers

    What is the term for a single digit in the binary number system?

    <p>Bit</p> Signup and view all the answers

    What is the binary representation of 75 in base 10?

    <p>1 001 0112</p> Signup and view all the answers

    What method is used to convert an octal number to decimal?

    <p>Conversion to binary and then to decimal</p> Signup and view all the answers

    What is the purpose of the binary truth table?

    <p>To convert binary to decimal</p> Signup and view all the answers

    What is the first step in converting 75 from decimal to binary?

    <p>Annotate a 1 in the column under 2</p> Signup and view all the answers

    What is the last step in converting 75 from decimal to binary?

    <p>Fill in all the spaces between the 1s with 0s</p> Signup and view all the answers

    What is the purpose of the exercises provided?

    <p>To practice converting from decimal to binary</p> Signup and view all the answers

    What is the base of the octal numbering system?

    <p>8</p> Signup and view all the answers

    What is the advantage of displaying binary numbers as octal numbers?

    <p>It reduces the chances of transposing a digit while copying.</p> Signup and view all the answers

    What is the result of converting 1008 to decimal?

    <p>6410</p> Signup and view all the answers

    How many binary digits can each octal numeral be represented by?

    <p>3</p> Signup and view all the answers

    What is the decimal value of the octal number 2 051?

    <p>1065</p> Signup and view all the answers

    What is the purpose of converting binary numbers to octal numbers in fault isolation?

    <p>To make the numbers more easily written and remembered.</p> Signup and view all the answers

    What is the purpose of the octal truth table?

    <p>To convert octal to decimal</p> Signup and view all the answers

    What is the task of the engineer when interpreting digital data in an aircraft computer system?

    <p>To interpret the data stored in the computer memory location.</p> Signup and view all the answers

    What is the sequence of numbers that follows 778 in the octal numbering system?

    <p>1008</p> Signup and view all the answers

    What is the octal number 362 415 equivalent to in decimal?

    <p>124 173</p> Signup and view all the answers

    How many methods are there to do decimal-octal conversion?

    <p>Two</p> Signup and view all the answers

    What is the advantage of using the octal numbering system in aircraft computer systems?

    <p>It provides a more efficient way to display and interpret digital data.</p> Signup and view all the answers

    What is the decimal value of the octal number 8 8?

    <p>72</p> Signup and view all the answers

    What is the purpose of the decimal truth table?

    <p>Not mentioned in the content</p> Signup and view all the answers

    What is the decimal value of the octal number 3 6 2 4 1 5?

    <p>124 173</p> Signup and view all the answers

    What is the context in which the octal truth table is used?

    <p>Aviation Australia</p> Signup and view all the answers

    Study Notes

    Digital Techniques

    • Digital systems use discrete numerical values to represent waveforms, unlike analogue systems which use continuously changing values.
    • Computers work only in digital, using zeros and ones to represent information.

    Numbering Systems

    • The decimal system uses 10 symbols (0-9) and is the numbering system humans use in daily life.
    • The binary system (Base 2) uses 2 symbols (0 and 1) and is used by computers.
    • The octal system (Base 8) uses 8 symbols (0-7) and is readily convertible to and from binary.
    • The hexadecimal system (Base 16) uses 16 symbols (0-9 and A-F).

    Binary Numbering System

    • The binary system uses powers of 2 to determine the value of a position.
    • Each position in a binary number has a place value of 2^n, where n is the position (starting from 0).
    • Binary numbers can be converted to decimal using a binary truth table.

    Binary Terms and Representations

    • A bit is a single binary digit, which can have a value of 0 or 1.
    • A nibble is a 4-bit binary number, which can have a value of 0000 to 1111.
    • A byte is an 8-bit binary number, which can have a value of 00000000 to 11111111.
    • A word is a 16-bit binary number, which can have a value of 00000000 00000000 to 11111111 11111111.
    • A long word is a 32-bit binary number, which can have a value of 00000000 00000000 00000000 00000000 to 11111111 11111111 11111111 11111111.
    • A very long word is a 64-bit binary number, which can have a value of 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 to 11111111 11111111 11111111 11111111 11111111 11111111 11111111 11111111.

    Octal Numbering System

    • Each octal numeral can be represented by three binary digits.
    • The octal system uses powers of 8 to determine the value of a position.
    • Octal numbers can be converted to decimal using an octal truth table.

    Conversions

    • Binary to decimal conversions can be done using a binary truth table.
    • Octal to decimal conversions can be done using an octal truth table or by converting the octal number to binary and then to decimal.
    • Decimal to octal conversions can be done using one of two methods: using an octal truth table or by dividing the decimal number by 8 and keeping track of the remainders.

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    Quiz Team

    Description

    This quiz covers the basics of digital techniques, including the use of binary and its conversion to octal and hexadecimal, as well as the representation of waveforms using discrete numerical values.

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