Who wants to know how to calculate in binary, the easy way?

[Joshua21136]

When I first started to learn binary I though of this weird but true theory, the theory was to count in binary I much as I did and label each number in binary with a number in decimal from 1 and up and so on. Counting in binary can confuse your head for about 30 minutes after you stop but that's no big deal just as long as you know both numeral systems. I have a few scans of papers that I worked on in school (5 Sheets of paper), I will upload links to them if I get any replies, that way you don't have to spend about 2 hours counting in binary up to 11111111 (256th number). Even I am amazed at my work, I'm in seventh grade and I already know how to count, add, subtract, multiply, and divide in binary, you will have the oppertunity to do the same in this topic. Binary is a really fun numeral system!!!

 

[ShadowSoldier]

I already know how to count, add, subtract, multiply, and divide in binary,

But... why? Like, what good will it do? Someone correct me if I'm wrong, but are there any jobs that require Binary at all or anything?

 

[Costello]

did you know you could count up to 1,024 with the fingers of your hand? if you assign 1 bit to each of your fingers.
and malformed people with 11 fingers, the lucky bastards, can count up to 2,048

oh and it gets better if you use your toes... count up to 1,048,576 !

 

[Joe88]

unit conversion tool will do this so there is no need

 

[MFDC12]

Gus, does it matter if it is needed or not? I know tons of Pi by heart (first 23 numbers, nothing much but its still growing), and will I ever need anything besides 3.14 for really anything I do? The amount of significant figures that I've came across by (really only 3 usually) says no, but its still fun to tell people they can do things like this (numbers of Pi, count/divide/multiply/subtract/etc numbers of binary).

Thats really a feat, Joshua21136, I don't think I could ever do it

 

[Pyrmon]

Gus, does it matter if it is needed or not? I know tons of Pi by heart (first 23 numbers, nothing much but its still growing), and will I ever need anything besides 3.14 for really anything I do? The amount of significant figures that I've came across by (really only 3 usually) says no, but its still fun to tell people they can do things like this (numbers of Pi, count/divide/multiply/subtract/etc numbers of binary).

Thats really a feat, Joshua21136, I don't think I could ever do it

This
And I know the first 115 digits of Pi by hearth. People look at me weirdly when I tell them that, except my math teacher

 

[The Pi]

I agree with MFDC12 it's something you do for the sake of it, Like memorising digits of Pi or e or even solving a rubik's cube it's not going to save your life but it's a good time waster.

 

[FireGrey]

Crap all i know what to do is convert numbers into binary...
you inspired me to learn more binary.

 

[FireGrey]

10011
10111
__________
10011
10011
10011
00000
10011
__________

1
0 carry 1
1 carry 1
0 carry 1
1 carry 1
1 carry 1
0
1

So this multiplication is correct, right?

EDIT: So i calculated it on paper again and got the right answer, 110110101.
in my early calculation it only had 8 digits, weird...

 

[ProtoKun7]

Memorising pi is good; I can count in binary pretty easily too.

Not exactly difficult for me.

 

[Frederica Bernkastel]

@pyrmon24 @MFDC12 in regards to pi, I know the first 30 digits or so - nothing really too special, and you're right, it's just a good timewaster.

unit conversion tool will do this so there is no need

what's to say he'll have access to a computer when he needs to count in base2?

Binary itself is a pretty cool thing, it's easy to do and helps with understanding mathematical concepts (base10 doesn't quite cut it for everything).
still, I'm pretty impressed, you're better at it than I am.

 

[Joshua21136]

Sorry for not answering for quite a while, my computer hasen't been letting me get on gbatemp. I posted this thread/topic or whatever you want to call it because I had just learned an easier simpiler way to calculate in binary. It all started on February 17th when I had the bright idea to tell my math teacher about the binary numeral system, that whole day I spent writing down the numbers/bits of binary from 1 and up, it took me about 2 hours, but at the end of the day, I had finally counted up to the 256th number/bit in binary, 11111111, while I was writing the numbers/bits down I thought of a theory, an odd theory, but a theory, the theory was to assign each binary number/bit to a decimal number, and whatever happened to the decimal number happened to the binary number, the theory looked like this,
2 = 10
3 = 11
6 = 110
so 10 * 11 = 110 or 110 / 11 = 10
because 2 * 3 = 6 and 6 / 3 = 2
anyway that was what the theory looked like, fortunatly, my theory was correct! The next day I told my math teacher that my theory was correct, she was amazed, partially because all of this went in one ear and out the other to her, and secondly because binary is hardly ever thought of anymore even though we use it in every day life. I was excited, so I decided to share the information, then I tried to teach some of my friends about binary, one of them caught on right after they knew how to count, as for the others, I don't think they cared much, except my science teacher, my P.E. teacher, my math teacher and a few others. So as I posted earlier, I would post some pictures of my work (scans really), and well, here they are, at this folder, http://www.mediafire.com/?ix39974zm8llc

did you know you could count up to 1,024 with the fingers of your hand? if you assign 1 bit to each of your fingers.
and malformed people with 11 fingers, the lucky bastards, can count up to 2,048

oh and it gets better if you use your toes... count up to 1,048,576 !
Well, actually having 11 fingers is a dominate trait, however not many people have 11 fingers because not many people have biological parents with 11 fingers.

QUOTE(FireGrey @ Feb 26 2011, 03:38 PM) 10011
10111
__________
10011
10011
10011
00000
10011
__________

1
0 carry 1
1 carry 1
0 carry 1
1 carry 1
1 carry 1
0
1

So this multiplication is correct, right?

EDIT: So i calculated it on paper again and got the right answer, 110110101.
in my early calculation it only had 8 digits, weird...

Yes, that mutiplication is correct. I've seen how to calculate directly, but it looked a little too difficult, so I found a solution/alternative.

 

[The Ey Man]

I've never really been introduced to the binary number system thing myself (although it's possible now with google).
But I do know about 40 or 50 digits of Pi, so I do find numbers interesting...
Yes, there's no point in doing that but it's more of a "why not" thing actually. Entertainment... possibly...?

 

[Joshua21136]

I've never really been introduced to the binary number system thing myself (although it's possible now with google).
But I do know about 40 or 50 digits of Pi, so I do find numbers interesting...
Yes, there's no point in doing that but it's more of a "why not" thing actually. Entertainment... possibly...?

Knowledge. I treat knowledge like something that I would prise most of all, because the more knowledge that you have, the more things you can do. However, if you do not know how to use that knowledge, it is useless.

 

[The Pi]

Well the "proper" way to do it is using long multiplication/division

multiplication: say 101010101 * 1010101

101010101
1010101
x
_____________________
101010101*1
101010101*00
101010101*100
101010101*0000
101010101*10000
101010101*000000
101010101*1000000
+
__________________________
101010101
10101010100
1010101010000
101010101000000
+
__________________________
111000100111001

(bit of a brainfuck trying to do that on a computer easier on paper)
Can't be bothered with division just now

 

[The Ey Man]

I've never really been introduced to the binary number system thing myself (although it's possible now with google).
But I do know about 40 or 50 digits of Pi, so I do find numbers interesting...
Yes, there's no point in doing that but it's more of a "why not" thing actually. Entertainment... possibly...?

Knowledge. I treat knowledge like something that I would prise most of all, because the more knowledge that you have, the more things you can do. However, if you do not know how to use that knowledge, it is useless.

Yepp, but useless knowledge isn't always useless. It's always good to practise memorizing to help train your brain. Sounds weird, but the useless memorizing can be helpful in the end

 

[Joshua21136]

If you know how to count in binary and in decimal, you can do anything in binary, once all of the bits to the right of the first 1 from left to right are all 1s that whole group of numbers (bytes, maybe?) get one more bit added on (specifically 1) to the left outermost part part of the whole number and then the all of the 1s to the right of that 0 (in our last whole group of numbers) get changed to 0s. Like this:
01111
10000
The 0 on the top number is not needed when writing bits, I just put it there to illustrate a point.