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anonymous
 5 years ago
1. Use the numerals 0, 1, and 2 to write the first 20 numbers in the base 3 numeration system.
2. What is the next number after 222 with a base of 3 ?
anonymous
 5 years ago
1. Use the numerals 0, 1, and 2 to write the first 20 numbers in the base 3 numeration system. 2. What is the next number after 222 with a base of 3 ?

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heisenberg
 5 years ago
Best ResponseYou've already chosen the best response.0it may help to understand what "base 3" means. to help, think of the numbering system you know now. that is called 'base 10' because it goes from 0 to 1 to 2 ... to 9 then back to 0 (10 total numbers). for a base 3 system, you just count 0, 1, 2 then back to 0. it would start like this: 000, 001, 002, 010, 011, 012, 020, 021, 022, 100... in both cases you increment by one and carry over when necessary. make sense?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I'm sorry I don't. I have a horrible teacher & everything is like another language.

heisenberg
 5 years ago
Best ResponseYou've already chosen the best response.0so think of a base 10 system (the normal one you're used to). start with 0 and add 1 to the previous number everytime: 00, 01, 02, 03, 04, 05, 06, 07, 08, 09, 10, 11, 12... you can see that when the rightmost digit "overflows", you add one to the next column over and start back at 0. this is the same principle with base 3 but you only go up to 2 (since there are only 3 digits: 0,1,2). consequently base 3 numbers are: 00, 01, 02, 10, 11, 12, 20, 21, 22, 100...

heisenberg
 5 years ago
Best ResponseYou've already chosen the best response.0think of each digit acting independent of eachother.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So next would be 101, 102, 110?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0then 111 112 120 121 122 130 131?

heisenberg
 5 years ago
Best ResponseYou've already chosen the best response.0you have to remember: there are no digits above 2 in a base 3 system. so 130 is invalid. the 3 would 'overflow' to 0 and you carry the overflow to the left: 121, 122, 200, 201, 202, 210...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok so what about number 2? How would I find that?

heisenberg
 5 years ago
Best ResponseYou've already chosen the best response.0so take 222 and add 1, keeping in mind that there are no digits larger than 2.

heisenberg
 5 years ago
Best ResponseYou've already chosen the best response.0the overflows / "carryovers" will do so for every digit

heisenberg
 5 years ago
Best ResponseYou've already chosen the best response.0not quite. remember, 200 is the same as 0200. base 3 doesn't mean anything about the number of digits in the number, just the types of digits allowed.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0There wouldnt be a number then, right? (Im confused)

heisenberg
 5 years ago
Best ResponseYou've already chosen the best response.0the same way that 0022 + 0001 = 0100

heisenberg
 5 years ago
Best ResponseYou've already chosen the best response.0as with any number, you can have as many leading 0's as you want, ie 00002 = 0002 = 2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay Thank you so much!!! You are amazing!
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