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[MaximumZero]

As pretty much everyone I've ever come in contact with knows, I'm not the most mathematically inclined person on the face of the planet. Far from it, in fact. So, since there's been a little bit of talk about it, I present to you, the Mathematics Help Thread, where you can come get a little bit of help from the numerous mathematical people on Bay12, should they wish to participate.

Also, I wanted to get the ball rolling. Nyah.

So, to kick this thing off:

I'm converting Base 10 to binary. Is there a less retarded way than "Divide everything by 2 and see if there's a remainder,"?

[ToonyMan]

Bases eh?

I've done base 2, 8, and 16.  What would 10 be used for?

[MaximumZero]

Counting. In kindergarten. And other everyday, practical uses.

[Vector]

I'm converting Base 10 to binary. Is there a less retarded way than "Divide everything by 2 and see if there's a remainder,"?

Familiarize yourself with the powers of base 2--I compute them for fun when I'm bored (gotten up to 100 before).  You'll start to recognize the largest power of two that can go into the number.

So, to take a random large number:

327 - 256 = 71
71 - 64 = 7
7 = 4 + 2 + 1

-> 327 = 256 + 64 + 4 + 2 + 1
-> 101000111

[ToonyMan]

Oh decimal, why didn't you say so.
Vector already answered that though, I like the fact I understand it.  One month ago I wouldn't have.

From what I know, going from binary to decimal is easy.  For decimal to binary I just work with the largest number I have and work my way down.

Like say you got the decimal number 137.

Highest you could use there is 128, then 8, then 1.  128+8+1=137

Or 10001001

[MaximumZero]

See, I thought that was a way to do it, but I was told not to do it that way. I'm rebelling tomorrow.

[Aqizzar]

-> 327 = 256 + 64 + 4 + 2 + 1
-> 101000111

I find bases pretty easy to grasp, but I'm not following your trick here.  How does 256+64+4+2+1 turn into 101000111 in one step?

[ToonyMan]

-> 327 = 256 + 64 + 4 + 2 + 1
-> 101000111

I find bases pretty easy to grasp, but I'm not following your trick here.  How does 256+64+4+2+1 turn into 101000111 in one step?

Each number multiples by 2 for binary.  1 means it's HIGH or active while 0 means it's LOW or inactive.

[Vector]

-> 327 = 256 + 64 + 4 + 2 + 1
-> 101000111

I find bases pretty easy to grasp, but I'm not following your trick here.  How does 256+64+4+2+1 turn into 101000111 in one step?

Knowing the powers of two ^_^;  I just counted 'em off and put a 1 where I had a power of 2, a 0 where I didn't.

[MaximumZero]

Okay, here's another stupid question that I forgot to ask in class. When writing numbers above 256 in binary, (Say, 9054, or something like that), do I just write a big string of 1s and 0s, or do I break it into bytes?

[Urist Imiknorris]

-> 327 = 256 + 64 + 4 + 2 + 1
-> 101000111

I find bases pretty easy to grasp, but I'm not following your trick here.  How does 256+64+4+2+1 turn into 101000111 in one step?

Knowing the powers of two ^_^;  I just counted 'em off and put a 1 where I had a power of 2, a 0 where I didn't.

I count by powers of two on my fingers.

[ToonyMan]

It goes from right to left.

So 0000 would be 0
0001 would be 1
0010 would be 2
0100 would be 4
1000 would be 8

with those basics you can do stuff like

1001 is 9
1110 is 14
1111 is 15

when you want 16 you move up a row

10000 is 16
10001 is 17
10010 is 18

and such

[dragnar]

Okay, here's another stupid question that I forgot to ask in class. When writing numbers above 256 in binary, (Say, 9054, or something like that), do I just write a big string of 1s and 0s, or do I break it into bytes?

Depends. In math, no. You just use a giant string of 0s and 1s. In electronics there might or might not be a reason to write it as multiple bytes(like, say, if you're using an 8-bit system.)

[Euld]

-> 327 = 256 + 64 + 4 + 2 + 1
-> 101000111

I find bases pretty easy to grasp, but I'm not following your trick here.  How does 256+64+4+2+1 turn into 101000111 in one step?

Knowing the powers of two ^_^;  I just counted 'em off and put a 1 where I had a power of 2, a 0 where I didn't.

I count by powers of two on my fingers.

You can count to 1023 on your fingers?... D: *head esplode*

[ToonyMan]

Okay, here's another stupid question that I forgot to ask in class. When writing numbers above 256 in binary, (Say, 9054, or something like that), do I just write a big string of 1s and 0s, or do I break it into bytes?

Depends. In math, no. You just use a giant string of 0s and 1s. In electronics there might or might not be a reason to write it as multiple bytes(like, say, if you're using an 8-bit system.)

Yeah it depends, my teacher tells me to do both.