# 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
- Fractional part is similar to the whole value, only using
*multiplication* instead of division

### Real Number to Binary Example

Math Computer Science