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 (C)</p> Signup and view all the answers

What is the number of bits in a Byte?

<p>8 (B)</p> Signup and view all the answers

How many bits are in a Very long word?

<p>64 (D)</p> Signup and view all the answers

What is used to convert binary to decimal?

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

What is the equivalent of a Long word in bits?

<p>2 x Word (D)</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 (D)</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 (A)</p> Signup and view all the answers

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

<p>Nibble (C)</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 (A)</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 (D)</p> Signup and view all the answers

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

<p>Bit (A)</p> Signup and view all the answers

What is the binary representation of 75 in base 10?

<p>1 001 0112 (A)</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 (B)</p> Signup and view all the answers

What is the purpose of the binary truth table?

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

What is the purpose of the exercises provided?

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

What is the base of the octal numbering system?

<p>8 (B)</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. (B)</p> Signup and view all the answers

What is the result of converting 1008 to decimal?

<p>6410 (C)</p> Signup and view all the answers

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

<p>3 (B)</p> Signup and view all the answers

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

<p>1065 (A)</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. (A)</p> Signup and view all the answers

What is the purpose of the octal truth table?

<p>To convert octal to decimal (A)</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. (D)</p> Signup and view all the answers

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

<p>1008 (D)</p> Signup and view all the answers

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

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

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

<p>Two (B)</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. (D)</p> Signup and view all the answers

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

<p>72 (A)</p> Signup and view all the answers

What is the purpose of the decimal truth table?

<p>Not mentioned in the content (C)</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 (D)</p> Signup and view all the answers

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

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

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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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