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
![Two's Compliment Example](/assets/second-brain/2020-09-17-16-56-19.png)
- 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
![Example of converting a real number to binary](/assets/second-brain/2020-09-17-14-42-35.png)
Math Computer Science