1. The World of ones and zeros
By: Priyanka, Emily, and Trisha

2. What is it?
A system in which information can be expressed by combinations of the digits 0 and 1
You use it everyday and you don’t know it
A base 2 number system
This is a table of the first few numerals in the system:

3. Who used it Natives of a remote Polynesian island
Western mathematicians
Electronic devices
We used it to make this wonderful PRESENTATION!!!!!!!!!!!!!!!!!!!!!!!

4. Traveling Back in time
The Natives of a remote Polynesian island and Ancient Greeks may have invented a binary number system, similar to the one used by computers to calculate, centuries before Western mathematicians did
Later, Gottfried Wilhelm Leibniz, invented a binary numeral system and showed that it could be used in a primitive calculating machine(computers)
Leibniz invented his version in the seventeenth century
It is not known who had invented it first, Leibniz or the Natives

5. Why use it
Natives of a remote Polynesian island may have used it to keep track of the trading network
Today, it forms the backbone of all modern computing systems

6. Binary vs. decimal SIMILARITIES BINARY DECIMAL
Uses only ones (1) and zeroes (0)
Base 2
Does not use the same place value
Addition: 1+2(Decimal)=1+10(Binary)=11
- They both use ones and zeroes
They both are number systems
They both have whole parts fractional parts
They both use place value
Uses 1, 2, 3, 4, 5, 6, 7, 8, 9, 0
Base 10
Does not use the same place value
Addition: 1+2=3

7. Steps to add in binary
1. Align the numbers you wish to add as you would if you were adding in decimal numbers(remember that only numbers with ones and zeroes are applicable).
2. Start with the two numbers in the far right column.
3. Add the numbers following the rules of decimal addition, unless both numbers are a one.
4. Add 1+1 as 10 if present.
5. Start on the next column to the left hand side.
6. Repeat the steps above, but add any carry. Ex
+111

8. Steps to subtract in this system
1. Align the numbers as an ordinary subtraction problem(remember to only use ones and zeros)
2. Borrow from the second digit if you need to regroup
3. Solve the right most column first
4. Finish the problem Ex

9. Steps to Multiply in binary form
Just align the digits properly(remember to only use ones and zeros)
Multiply like decimal system Ex
x 10

10. Bye – Bye-nary