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.
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So What is Base Two?
Fulton-Montgomery Community College TEPP Technological Education Pathways Partnership NSF DUE 1003122
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
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+ =
Base Two
In Base 2, one plus one equals 10
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+________
Base 10
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+____________________
0 0 0
0
Base 2
8
7
15Fulton-Montgomery Community College TEPP Technological Education Pathways Partnership NSF DUE 1003122
Click icon to add picture
YOU WIN!!
$1,010,11
1
The Base 2 Sweepstakes only cost one hundred dollars to enter!!
Guaranteed winnings of 1,010,111
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64 + 0 + 16 + 0 + 4 + 2 + 1 = 87
0 0
6 5 4 3 2 1 0
YOU LOSE!!
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Food For PC’s
Why Base Two??? Why 1’s and 0’s???
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What is this?
Fulton-Montgomery Community College TEPP Technological Education Pathways Partnership NSF DUE 1003122
AND GATES
0 0
0 00
00
A A
B B
A A
B B
Y Y
Y Y
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__ __ __ ___
___ ___
___ ___
+ =
AND + NOT = NAND
Fulton-Montgomery Community College TEPP Technological Education Pathways Partnership NSF DUE 1003122
NAND GATES
0 0
0
0
0
A A
B B
A A
B B
Y Y
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AND GATE NAND GATE
OR GATE NOR GATE
EXCLUSIVE OR EXCLUSIVE NOR
The Logical Side of Electronic Circuits
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+____________________
0 0
0 0
0
(A = 10)
(B = 3)
(Y = 13)
Fulton-Montgomery Community College TEPP Technological Education Pathways Partnership NSF DUE 1003122
4-bit Full AdderA
B
0 0
0 0
0Y
10+3
13
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If you can
Understand Genealogy
Then you understand how Base 2 works!
Fulton-Montgomery Community College TEPP Technological Education Pathways Partnership NSF DUE 1003122
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!
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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
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T H E
E N D
Fulton-Montgomery Community College TEPP Technological Education Pathways Partnership NSF DUE 1003122