Range of Positive Numbers and Word Lengths

• For an n-bit word length

  • 2n different numbers can be represented
    • including zero.
  • 0,1,2,..., ((2n) -1) (if only want +ve numbers)

• MIPS has a 32-bit word length

  • 232 different numbers can be represented
  • 0,1,2,..., ((232)-1) (= 4,294,967,295).

• A 3-bit word length would support

  • 0,1,2,3,4,5,6,7

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