Tiny tutorial regarding converting base X to decimal(and testing LateX)

Tiny tutorial regarding converting base X to decimal(and testing LateX) - Printable Version

+- Forums - Open Redstone Engineers (https://forum.openredstone.org)
+-- Forum: ORE General (https://forum.openredstone.org/forum-39.html)
+--- Forum: Tutorials (https://forum.openredstone.org/forum-24.html)
+---- Forum: Fundamental Tutorials (https://forum.openredstone.org/forum-25.html)
+---- Thread: Tiny tutorial regarding converting base X to decimal(and testing LateX) (/thread-163.html)

Pages: 1 2

Tiny tutorial regarding converting base X to decimal(and testing LateX) - mad1231999 - 05-10-2013

Let the digits of the number be contained in the n-dimensional vector a, like this:
$a = \left[1 \vspace{5 mm} 0 \vspace{5 mm} 0 \vspace{5 mm} 1 \vspace{5 mm} 1 \vspace{5 mm} 1 \vspace{5 mm} 0 \vspace{5 mm} 1\right]$
which is equivalent of the binary number 10011101.

Given the base $b$ (2 in this case), the number in decimal can be found using the following equation:

$x = \sum_{i=1}^{n}a_{(n-i)} \cdot b^{(i-1)}$

So we can conclude, that this is true:

$x = \sum_{i=1}^{8}{a_{(n-i)} \cdot 2^{(i-1)}} = 157$

RE: Tiny tutorial regarding converting base X to decimal - Guy1234567890 - 05-10-2013

Fancy!

RE: Tiny tutorial regarding converting base X to decimal(and testing LateX) - David - 05-11-2013

Wait, wut?

RE: Tiny tutorial regarding converting base X to decimal(and testing LateX) - EDevil - 05-11-2013

(05-11-2013, 10:39 AM)David Wrote: Wait, wut?

Same here. We're probably not that far into logic & formula's Sad

RE: Tiny tutorial regarding converting base X to decimal(and testing LateX) - JayJuly - 05-11-2013

Lol, nice use of sigma notation to confuse people Wink

RE: Tiny tutorial regarding converting base X to decimal(and testing LateX) - Thor23 - 05-11-2013

I think you've got your vector backwards. If you're indexing the digits like in a typical array, the index would be increasing from left to right, so you would get 185 not 157. You'd have to use $a_(_9_-_i_)$ to get that.

RE: Tiny tutorial regarding converting base X to decimal(and testing LateX) - mad1231999 - 05-12-2013

Thank you, didn't think about that. Fixed.

RE: Tiny tutorial regarding converting base X to decimal(and testing LateX) - VirtualPineapple - 05-13-2013

*Hits, 'That was easy' button*

RE: Tiny tutorial regarding converting base X to decimal(and testing LateX) - Xeomorpher - 05-13-2013

Oi, leave my buttons alone!

RE: Tiny tutorial regarding converting base X to decimal(and testing LateX) - David - 05-26-2013

I understood it until you brought the equation, maybe I should go to school for a few more years.