A Brief Look at Binary Numbers There are 10 types of people in the world: Those who understand...

A Brief Look at Binary Numbers

Understanding

Base 2There are 10 types of people in the world:Those who understand binary numbers, and those who don’t.

Fulton-Montgomery Community College TEPP Technological Education Pathways Partnership NSF DUE 1003122

So What is Base Two?


What is Base Two?Fulton-Montgomery Community College TEPP Technological Education Pathways Partnership NSF DUE 1003122

Base 10

*In Base 10, one plus one equals TWO


+ =

Base Two

In Base 2, one plus one equals 10


+________

Base 10


+____________________

0 0 0

0

Base 2

8

7

15Fulton-Montgomery Community College TEPP Technological Education Pathways Partnership NSF DUE 1003122

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YOU WIN!!

$1,010,11

1

The Base 2 Sweepstakes only cost one hundred dollars to enter!!

Guaranteed winnings of 1,010,111


64 + 0 + 16 + 0 + 4 + 2 + 1 = 87

0 0

6 5 4 3 2 1 0

YOU LOSE!!


Food For PC’s

Why Base Two??? Why 1’s and 0’s???


What is this?


AND GATES

0 0

0 00

00

A A

B B

A A

B B

Y Y

Y Y


__ __ __ ___

___ ___

___ ___

+ =

AND + NOT = NAND


NAND GATES

0 0

0

0

0

A A

B B

A A

B B

Y Y


AND GATE NAND GATE

OR GATE NOR GATE

EXCLUSIVE OR EXCLUSIVE NOR

The Logical Side of Electronic Circuits


+____________________

0 0

0 0

0

(A = 10)

(B = 3)

(Y = 13)


4-bit Full AdderA

B

0 0

0 0

0Y

10+3

13


If you can

Understand Genealogy

Then you understand how Base 2 works!


You – have 2 parents, and

They – have 2 parents, and

They – have 2 parents, and

They have 2 parents

…and so on, and so on

So how many grandparents do each of us have

if you go back 11 generations?

If you understand Base 2, then the answer is easy!


11 10 9 8 7 6 5 4 3 2 1 0

You

2 Parents

4 Grandparents8 Gr-grandparents

16 Gr-gr-grandparents

32 Gr-gr-gr-grandparents

64 Gr-gr-gr-gr-grandparents

128 Gr-gr-gr-gr-gr-grandparents

256 Gr-gr-gr-gr-gr-gr-grandparents

512 Gr-gr-gr-gr-gr-gr-gr-grandparents

1024 Gr-gr-gr-gr-gr-gr-gr-gr-grandparents

2048 Gr-gr-gr-gr-gr-gr-gr-gr-gr-grandparents


T H E

E N D


A Brief Look at Binary Numbers There are 10 types of people in the world: Those who understand...

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