Binary

• Bi --> latin for "two"
• Invented by Gottfried Wilhelm Leibniz
• Base-2 (0, 1)
• Simplifies design of computers (and related technology)
  • All information is stored using 0s and 1s

Two's Compliment

• An easy way to represent a negative number in binary

Two's Compliment Example

• Have a negative number (-7)
• Drop the sign (7)
• Binary (0111)
• Flip the bits (1000)
• Add one (1001)

Converting Real Number (Decimal) to Binary

• Convert the numbers on both sides of the decimal separately
  • See converting from base 10 to other bases
• Fractional part is similar to the whole value, only using multiplication instead of division

Real Number to Binary Example

Math Computer Science