Fun Time Binary Codeing

[kpac]

2^2 means "two raised to the power of two".

...Which means 2 x 2 = 4.

3^3 = 27, because 3 x 3 = 9, 9 x 3 = 27.

[squall_01]

but there are three two's? 

[kpac]

http://www.google.ie/search?hl=en&q=2%5E0&btnG=Search&meta=
http://www.google.ie/search?hl=en&q=2%5E2&btnG=Search&meta=

......

http://www.google.ie/search?hl=en&q=2%5E0%2B2%5E2&btnG=Search&meta=

[Dias de verano]

but there are three two's? 

There are three figure twos that you can see, yes.

2^0+2^2

Remember I already explained that the up arrow ^ means "to the power of". If you don't know what that means, you have some studying to do before you can deal with binary arithmetic.

If you read it out loud, it says "two to the power of zero plus two to the power of two".

Two to the power of zero equals one.

Two to the power of two equals four.

Four plus one equals five.

I think I can tell you are having a hard time understanding all this. I suggest you do the following:

1. Get a good math or computer science book that deals with binary arithmetic.
2. talk to your teacher.

Forums like this are not the best way to tackle this sort of learning project.

[BC_Programmer]

Five is zero unless its valued at one. 

That doesn't make sense in any context.


5=1 ? 5 : 0

Nope, conditional doesn't believe you.

but there are three two's? 

Indeed- but we must also focus on the operators(or lack thereof) between those 2's. Just as 222 isn't 6, 2^2+2^0 isn't 6 either.

Defaulting to addition with operators your unfamiliar with is sure to give incorrect results.

[ChrisXPPro]

Just occurred to me that one aspect that might cause confusion for some is - base two to power zero - the 2^0 aspect, is being seen as actual 2 decimal, when in fact in binary, representation of the value is of course 1, just in that first position.

Higher positions of course have to be either 0 or a true power of 2 - according to the hierarchy of position ..... powers of base 2 from 1 thru 7.

Thus - 2^1 or zero for position 2,  2^2 or zero for position 3, 2^3 or zero for position 4 .. and so on.

It's always works remembering binary is analagous to switching or truth - only two possible states at each level - "on"/"off" or "True"/"False"

Probably doesn't help much!

[squall_01]

It helped explain that problem.  I understand it better. 

[Dias de verano]

Just occurred to me that one aspect that might cause confusion for some is - base two to power zero - the 2^0 aspect, is being seen as actual 2 decimal, when in fact in binary, representation of the value is of course 1, just in that first position.

In fact, any number to the power zero equals 1.

There is a simple (ish) explanation of why this is so here

Extract:

if you divide a number to a power by the same number to a different power, the answer is the
same number raised to the difference of the first two powers.

For example,

     3
    2      (3-2)      1
   ---- = 2      = 2
     2
    2

What happens when the powers in the numerator and denominator are the
same?

     3
    2      (3-3)      0
   ---- = 2      = 2
     3
    2

But you know that 8/8 = 1. So 2^0 must equal 1.

[squall_01]

I understood his, but yours has  more details.

[ChrisXPPro]

Useful stuff Dias ... 

[squall_01]

heres the thing he said that we dont need to understand this.

[Dias de verano]

heres the thing he said that we dont need to understand this.

Who said that?  understand what? Why revive this 6 week old thread?

[squall_01]

my pc arc teacher.  Binary, cause he told us that we didnt have too...

[Dias de verano]

my pc arc teacher.  Binary, cause he told us that we didnt have too...

Excuse me. I am confused. Who said you "have" to understand binary arithmetic? Anyway it's not hard. You either have a one, or you don't. If you do, that's called a one. If you don't, that's called a zero. That's all there is to it. Now go haul out the trash, or you don't get no spending cash!

[squall_01]

i understand it better, but thought he had wanted us too