CSI106

• What does a number system define?

  How a number is represented using symbols
• Why can a number have different representations in different systems?

  Because each system uses different symbols
• What quantity do the numbers (2A)16 and (52)8 both refer to?

  (42)10
• In a positional number system, what determines the value a symbol represents?

  The position the symbol occupies
• In a positional number system, what does 'b' represent?

  The base (or radix)
• From what Latin root is the word "decimal" derived?

  decem (ten)
• What is the base 'b' in the decimal system?

  10
• What is the set of symbols, S, used in the decimal system?

  {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
• What are the symbols in the decimal system often referred to as?

  Decimal digits or just digits
• What is the base 'b' in the binary system?

  2
• From what Latin root is the word "binary" derived?

  bini (two by two)
• What is the set of symbols, S, used in the binary system?

  {0, 1}
• What are the symbols in the binary system often referred to as?

  Binary digits or bits
• Where are data and programs stored in the computer?

  Using binary patterns (bits)
• What is the decimal equivalent of the binary number (101.11)2?

  5.75
• Why was the hexadecimal system devised?

  To show binary stored in computers
• From what roots is the word "hexadecimal" derived?

  Greek 'hex' (six) and Latin 'decem' (ten)
• What is the base 'b' in the hexadecimal system?

  16
• What is the set of symbols, S, used in the hexadecimal system?

  {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F}
• What is the decimal equivalent of the hexadecimal number (2AE)16?

  686
• Why was the octal system devised?

  To show the equivalent of binary
• From what root is the word "octal" derived?

  Latin 'octo' (eight)
• What is the base 'b' in the octal system?

  8
• What is the set of symbols, S, used in the octal system?


  {0, 1, 2, 3, 4, 5, 6, 7}
• What is the decimal equivalent of the octal number (1256)8?

  686
• Why is it important to know how to convert between number systems?

  To find equivalent numbers in systems
• What is the first conversion process discussed in the text?

  Converting from any base to decimal
• What is the second conversion process discussed in the text?

  Converting from decimal to any base
• What is the decimal equivalent of the binary number (110.11)2?

  6.75
• What is the decimal equivalent of the hexadecimal number (1A.23)16?

  26.137
• When converting a decimal number to another base, what parts need separate procedures?

  The integral and fractional parts
• In binary, what is 35 in decimal?

  100011
• In octal, what is 126 in decimal?

  176
• What is the binary equivalent of the decimal number 0.625?

  0.101
• What is the octal representation of the decimal number 0.634 using a maximum of four digits?

  0.5065
• What is the binary equivalent of (24C)16?

  (001001001100)2
• What is the binary equivalent of (24)8?

  (010100)2
• What information is summarized in Table 2.1 regarding the four positional number systems?

  * Name of the number system (Decimal, Binary, Hexadecimal, Octal)

  * Base (radix) of the number system

  * Symbols used in the number system
• What distinguishes a positional number system from a non-positional number system?

  Symbol position determines value in positional
• What are four different forms that data comes in?

  Numbers, text, audio, image