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A Brief Look at Binary Numbers There 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 PartnershipNSF DUE 1003122
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Fulton-Montgomery Community College TEPP Technological Education Pathways PartnershipNSF DUE 1003122
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Fulton-Montgomery Community College TEPP Technological Education Pathways PartnershipNSF DUE 1003122
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* In Base 10, one plus one equals TWO Fulton-Montgomery Community College TEPP Technological Education Pathways PartnershipNSF DUE 1003122
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Base Two In Base 2, one plus one equals 10 Fulton-Montgomery Community College TEPP Technological Education Pathways PartnershipNSF DUE 1003122
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Base 10 Fulton-Montgomery Community College TEPP Technological Education Pathways PartnershipNSF DUE 1003122
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0 0 0 0 Base 2 Fulton-Montgomery Community College TEPP Technological Education Pathways PartnershipNSF DUE 1003122
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YOU WIN!! The Base 2 Sweepstakes only cost one hundred dollars to enter!! Guaranteed winnings of 1,010,111 Fulton-Montgomery Community College TEPP Technological Education Pathways PartnershipNSF DUE 1003122
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0 6 5 4 3 2 1 0 YOU LOSE!! Fulton-Montgomery Community College TEPP Technological Education Pathways PartnershipNSF DUE 1003122
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Why Base Two??? Why 1’s and 0’s??? Fulton-Montgomery Community College TEPP Technological Education Pathways PartnershipNSF DUE 1003122
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What is this? Fulton-Montgomery Community College TEPP Technological Education Pathways PartnershipNSF DUE 1003122
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AND GATES 0 0 0 0 A B A B Y Fulton-Montgomery Community College TEPP Technological Education Pathways PartnershipNSF DUE 1003122
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__ __ __ ___ ___ + = AND + NOT = NAND Fulton-Montgomery Community College TEPP Technological Education Pathways PartnershipNSF DUE 1003122
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NAND GATES 0 0 0 0 A B A B Y Fulton-Montgomery Community College TEPP Technological Education Pathways PartnershipNSF DUE 1003122
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AND GATE NAND GATE OR GATE NOR GATE EXCLUSIVE OR EXCLUSIVE NOR The Logical Side of Electronic Circuits Fulton-Montgomery Community College TEPP Technological Education Pathways PartnershipNSF DUE 1003122
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0 0 (A = 10) (B = 3) (Y = 13) Fulton-Montgomery Community College TEPP Technological Education Pathways PartnershipNSF DUE 1003122
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A B 0 0 Y Fulton-Montgomery Community College TEPP Technological Education Pathways PartnershipNSF DUE 1003122
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If you can Understand Genealogy Then you understand how Base 2 works! Fulton-Montgomery Community College TEPP Technological Education Pathways PartnershipNSF DUE 1003122
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You – 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 go back 11 generations? If you understand Base 2, then the answer is easy! Fulton-Montgomery Community College TEPP Technological Education Pathways Partnership NSF DUE 1003122
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11 10 9 8 7 6 5 4 3 2 1 0 You 2 Parents 4 Grandparents 8 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 Fulton-Montgomery Community College TEPP Technological Education Pathways PartnershipNSF DUE 1003122
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T H E E N D Fulton-Montgomery Community College TEPP Technological Education Pathways PartnershipNSF DUE 1003122
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Fulton-Montgomery Community College TEPP Technological Education Pathways PartnershipNSF DUE 1003122
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