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DarkerLine
ceci n'est pas une |
Super Elite (Last Title)
Joined: 04 Nov 2003
Posts: 8328
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 Posted: 26 Feb 2010 07:40:31 pm Post subject: |
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The idea with Horner's rule is that when you're trying to figure out, say Ax3+Bx2+Cx+D, you will do something of the following (in pseudocode)
Set Result = 0
Set Result = Result*x+A (getting A)
Set Result = Result*x+B (getting Ax+B)
Set Result = Result*x+C (getting Ax2+Bx+C)
Set Result = Result*x+D (getting Ax3+Bx2+Cx+D)
Note how all of the steps you do are the same. When we put them in a For( loop, replace x by 2 (for binary), and replace A, B, C, D, etc. by the binary digits of the number we're converting, we get precisely the code in thornahawk's post.
Last edited by Guest on 26 Feb 2010 07:40:47 pm; edited 1 time in total |
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meishe91
Newbie
Joined: 06 Dec 2009
Posts: 49
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| Posted: 26 Feb 2010 10:43:38 pm Post subject: |
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DarkerLine wrote: The idea with Horner's rule is that when you're trying to figure out, say Ax 3+Bx 2+Cx+D, you will do something of the following (in pseudocode)
Set Result = 0
Set Result = Result*x+A (getting A)
Set Result = Result*x+B (getting Ax+ 
Set Result = Result*x+C (getting Ax 2+Bx+C)
Set Result = Result*x+D (getting Ax 3+Bx 2+Cx+D)
Note how all of the steps you do are the same. When we put them in a For( loop, replace x by 2 (for binary), and replace A, B, C, D, etc. by the binary digits of the number we're converting, we get precisely the code in thornahawk's post.
Hmmm...ok. Well that does make a little more sense, I'm not sure what isn't clicking for me. Ugh haha.  |
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