/sci/ - Science & Math

[Pedro !!h6N23eWX4gY No.5775750]

What is 0.5 in base 3?

[Anonymous No.5775757]

>>5775750

.11111111111111

or not

[Anonymous No.5775759]

>>5775750
irrational?

[Anonymous No.5775787]

>>5775750

Trying to use a decimal point is hard in different bases, (it ceases to be a decimal point afterall).

I tried to divide 1 by 2 using long division in base 3, but it blew my mind.

If you do the long division trick of adding a 0 after to get decimals, you're actually dividing 3 by 2 instead, but wait isn't that what you're doing in base 10 when you divide 10 by 2 to get the first decimal digit or 100 by 2 to get the second?

If that's right I think it's 0.11111111...

1 divided by 2 is 0, 10 divided by 2 is 1 remainder 1, because 10 in base-3 is 3 in base-10. You now have 1 divided by 2, 10 divided by 2 = 1 remainder 1 and so on ...........

[Anonymous No.5775814]

0,5 in ten base equals to 1/2 in all bases over binary

[Anonymous No.5775857]

There is no '5' in base 3.

[Anonymous No.5775872]

Hey OP I recognize that little cunt,

was he full of shit or what? someone tell me he was a shit filled cunt

[Anonymous No.5775882]

>>5775757
is correct.

Assume:
<span class="math">0.11111... _3 = 0.5 _10[/spoiler]

Then;
<span class="math">10 _3 * 0.111... _3 = 1.111... _3 = 3 _10 * 0.5 _10 = 1.5 _10[/spoiler]

<span class="math">1.111... _3 - 0.111... _3 = 1.5 _10 - 0.5 _10[/spoiler]

<span class="math">1 _3 = 1 _10[/spoiler]

The last statement is true since 1 mod 3 = 1 mod 10, so the assumption is correct.

[OP No.5775885]

>>5775882
you are a dumbass, because thats base 1.

[OP No.5775886]

>>5775872
australian detected.

[Anonymous No.5775889]

>>5775757
is correct.

Assume:
<span class="math">0.11111... _3 = 0.5 _{10}[/spoiler]

Then;
<span class="math">10 _3 * 0.111... _3 = 1.111... _3 = 3 _{10} * 0.5 _{10} = 1.5 _{10}[/spoiler]
<span class="math">1.111... _3 - 0.111... _3 = 1.5 _{10} - 0.5 _{10}[/spoiler]

<span class="math">1 _3 = 1 _{10}[/spoiler]

The last statement is true since (1 mod 3) = (1 mod 10), so the assumption is correct.

[OP No.5775891]

>>5775889
refer to this
>>5775885

base 3, not base 1 dumbass

[Anonymous No.5775909]

>>5775889
>>5775757 is correct, but your proof isnt. You started with the assumption that <span class="math">0.11111... _3 = 0.5 _{10}[/spoiler], and used that to prove that <span class="math">1 _3 = 1 _{10}[/spoiler], but that doesnt prove the assumption true. After all, I can assume -2=2, square both sides, and end up with 4=4.

[Anonymous No.5775913]

>>5775757
".11111111111111 or not" is quite certainly correct.