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Re: OOT: negative numbers in any base
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Re: OOT: negative numbers in any base


  • Subject: Re: OOT: negative numbers in any base
  • From: Nathan Day <email@hidden>
  • Date: Sat, 10 Aug 2002 01:44:04 +0930

Not sure if this is what you are after but

-x = ~(x-1)

for example with an 8 bit -2

2 = b00000010
(2-1) = b00000001
~(2-1) = b11111110

alternatively

~(-x)+1 = x

-2 = b11111110
~(-2) = b00000001
~(-2)+1 = b00000010

it has the advantage that addition and subtraction can be done the same way

5 - 2 = b00000101 + b11111110 = 5 + 254 = 259 = b100000011
but we only have eight bit so it's b00000011 = 3

On Thursday, August 8, 2002, at 03:54 AM, Michhle Garoche wrote:

Hello,

Sorry for OOT.

Could someone tell me where I can find how the compiler build a negative number? Some place on the web as I have no access to specialized libraries, general (not only for binary numbers: I know how to do it), and no too complicated as my math studies are far behind me:-)

A simple case: say I enter 1 in base 10, then I negate the number, the result displayed is -1 as the compiler knows how to write it. Now I switch to base 3 (not balanced ternary), how can I build the result (I know how I can build the result for positive numbers, and I know the limits).

I thought of that way to do it, but not sure if it's the right one:

1 - store the digits in an int variable - done
2 - translate the number into binary string - done
3 - translate the binary string into decimal - to do
4 - translate the decimal into x base string - done

Nathan Day
http://homepage.mac.com/nathan_day/
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  • Follow-Ups:
    • Re: OOT: negative numbers in any base
      • From: Michèle Garoche <email@hidden>
References: 
 >OOT: negative numbers in any base (From: Michèle Garoche <email@hidden>)

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