Can you count to ten, in the base 3 number system?

Answer 1

Sure. In base 3, whenever you get to 3 of something you move to the next place value, as we do with the base 10 system, so here is counting to 10 in base 3?

1) 1
2) 2
3) 10
4) 11
5) 12
6) 20
7) 21
8) 22
9) 100
10) 101

Answer 2

Actually, the act of counting has nothing to do with the base we use to represent numbers. Numbers are the same no matter the base you use to represent them. What changes is their representation. In base 3, the SAME numbers that in base 10 are represented by 1, 2, 3 .....10 are given by

1 1
2 2
3 10
4 11
5 12
6 20
7 21
8 22
9 100
10 101

Note that the number eight, for example, in base ten is represented by 8 and in base three 22. But it's still the same number eight.

Answer 3

Base 3 Number System

Answer 4

In base 3: 1 =1, 2 =2, but 3 =10. So 4 = 1+3 = (in base 3) 1 +10 = 11 in base 3 system. 5 = 2+3 = (in base 3) 2 +10 = 12 and so on so to count to ten in base 3:

1, 2 , 10, 11, 12, 20, 21, 22, 100, 101

Answer 5

Counting to ten in the base three number system would go like this:

0, 1, 2, 10

This is because in base 3, there are only 3 digits (including zero). If you were to count all of your fingers in base 3, it would go like this:

1, 2, 10, 11, 12, 20, 21, 22, 100, 101

Answer 6

1=1
2=2
3=10
4=11
5=12
6=20
7=21
8=22
9=100
10=101

Answer 7

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First of all, Nick is right. Convenience was a major factor. Being able to keep track on ones fingers, etc. Hob is also right. Not all units of counting have been in base ten. Counting by the dozen is a base 12 system. A gross ends up being a dozen dozens, 12 dozens, or 144. Or in base 12 we would write 100 for a gross. I think its called a "gross" anyway, my lingo might be wrong. We also have 12 inches in a foot, 3 feet in a yard, 2 yards in a fathom. Blah. I would also like to point out that not all cultures used base ten. I believe it was the Mayans who had a base 12 counting system. Or was it base 16, I cant remember. I think there was another ancient society that used a base 8, in Eurasia somewhere. The technological revolution has brought about base 2 and base 16. But neither of which are very convenient for humans to process. Let us not forget about entirely different numbering systems... such as Roman numerals and Greek numerals. Why should they be any less used? Convenience and numeric precision, of course, but Im sure we could adapt with those systems anyway. Really what base we use is arbitrary. But math is about rigor, explicitness and exactness. Written language is about communication. And with that, standards are born and adopted. Base ten it is only because base ten it has been. And it will continue to be. Can I point out that each finger possesses two joints that can be easily, consciously bent... and that if each digit constitutes three different states, we can count up to 3^10 on two hands. Shoot, if you wanted to arbitrarily decide that palm up, palm down, palm in, etc, be independent states, then we could conceivably count to 16 times that. 944784 is the highest I can count on two hands. Traditional two hand counting is actually base 1, in a manner of speaking. Its a form of a tally mark. Each extended finger counts as one while non-extended fingers count as zero... and there are no place holders. If your extended/un-extended fingers were assigned a placement value then we would be using binary.

Answer 8

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RE:
Can you count to ten, in the base 3 number system?

Answer 9

Counting to 10 in base 3:
1,2,10
Counting the first 10 numbers in base 3:
1,2,10,11,12,20,21,22,100,101

Answer 10

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