L11_Fri_Feb_05

L11_Fri_Feb_05 - MAE3811Sp 2010 Mahoney1 Recap So last time...

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1 MAE3811–Sp. 2010 Mahoney–1 Recap…. So last time we finished on this slide… Examples: MAE3811–Sp. 2010 Mahoney–2 Let’s practice that some more… Let’s start simpler… To convert any number from base to another we need to know the place value in both bases: Table of common base values: System Base b 6 b 5 b 4 b 3 b 2 b 1 b 0 Binary 2 64 32 16 8 4 2 1 Quinary 5 15625 3125 625 125 25 5 1 Octet 8 262144 32768 4096 512 64 8 1 Decimal 10 1000000 100000 10000 1000 100 10 1 Duodecimal 12 2985984 248832 20736 1728 144 12 1 Hexdecimal 16 16777216 1048576 65536 4096 256 16 1 Vegesimal 20 640000000 3200000 16000 8000 400 20 1

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2 MAE3811–Sp. 2010 Mahoney–3 When we want to read a number in a different base from 10, we are really converting that number to base 10 from its base. To do this we… Expand the number in its base…. (The base values are written in our base) Convert, if necessary, the face values to values in our base…. Add the sum of the individual products
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L11_Fri_Feb_05 - MAE3811Sp 2010 Mahoney1 Recap So last time...

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