Computer Data Representation

  • Introduction
  • How Data is Stored
  • Text Data
  • Unsigned Numbers
    • Base-10
    • Base-2
    • Base-n
  • Binary Addition
  • Signed Numbers
    • Excess Notation
    • Two's Complement Notation
      • Method1
      • Method 2
      • Arithmetic
        • Subtraction
        • Multiplication
        • Division
  • Mapping Notations
  • Binary Fractions
  • Rational Numbers
    • Floating-point Notation
    • Decoding
    • Encoding
  • Practice Material
    • #1
    • #2 - 5
    • #6 - 10
    • #11 - 15
    • #17 - 20
    • #21 - 24
    • #25 - 29
    • #30 - 32
    • #33 - 36
    • #37 - 39
    • #40
    • #41 - 44
    • #45 - 46
    • #47
    • #48 - 51
    • Solutions

Multiplication

  • Multiplication can be re-expressed as repeated addition:

7 * 3 is the same as 7 + 7 + 7

7 is represented as 0111

  0111

+ 0111

  1110

+ 0111

 10101

which is, of course, 21

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