Binary and Decimal Conversion Functions

[shadowrecon]

I wrote some functions to change a decimal number into a binary number then also wrote a function to turn a binary string into a decimal number. These functions im sure will help someone understand binary a little better.

 

[scar]

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function IntToBin(I: Integer): String;

Contributors: ShadowRecon.

Description: Turns decimal number into a string of binary digits.

Date Created: September, 5th 2012. By: ShadowRecon.

Last Modified: September, 5th 2012. By: ShadowRecon.

~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~}

 

function IntToBin(I: Integer): String;

var

Rem: Extended;

Bin_Number: String;

Done: Boolean;

begin

Done := False;

Result := '';

Bin_Number := '';

{

In this repeat loop im looping throguh and only looking at the remainder

using the Mod function if the remainder is not 0 then a 1 is added to the

binary number.

}

repeat

Rem := I mod 2;

if Rem = 0 then Bin_Number := Bin_Number + '0'

else Bin_Number := Bin_Number + '1';

I := I div 2;

if I = 0 then

Done := true;

until Done;

{

The For loop below, re-organizes the 1's and 0's from last to first.

}

for I := Length(Bin_Number) downto 1 do

Result := Result + Bin_Number;

end;

 

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function BinToInt(Bin: String): Integer;

Contributors: ShadowRecon.

Description: Turns a string binary digits into a decimal number.

Date Created: September, 5th 2012. By: ShadowRecon.

Last Modified: September, 5th 2012. By: ShadowRecon.

~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~-~}

 

function BinToInt(Bin: String): Integer;

var

I, Counter: Integer;

begin

Counter := 0;

for I := Length(Bin) downto 1 do

begin

if Char(Bin) = '1' then

Result := Result + Round(Pow(2, Counter));

inc(Counter);

end;

end;

 

begin

Writeln(IntToBin(96));

Writeln(BinToInt('1100000'));

end.

[/scar]

[FHannes]

Nice But you can shorten these a lot if you just bitshift. This should also be quite a bit faster, bitwise operations are amongst the fastest you can perform generally.

 

[scar]function IntToBin(Value: Integer): string;

begin

Result := '';

while Value > 0 do

begin

if Boolean(Value and 1) then

Result := '1' + Result

else

Result := '0' + Result;

Value := Value shr 1;

end;

end;

 

function BinToInt(Value: string): Integer;

var

I, L: Integer;

begin

Result := 0;

L := Length(Value);

for I := 1 to L do

begin

Result := Result shl 1;

if Value = '1' then

Result := Result or 1;

end;

end;[/scar]

[shadowrecon]

Nice But you can shorten these a lot if you just bitshift. This should also be quite a bit faster, bitwise operations are amongst the fastest you can perform generally.

 

Very nice, i didnt think about bit shifting.. those are some of the most basic functions used by the processor. I am taking a digital circuits class and they have been going over binary and hex and octal numbering systems so i figured id try my hand at writing a function for ea of them so i can better under how to manipulate the numbers between the bases.

[LordJashin]

Very nice, i didnt think about bit shifting.. those are some of the most basic functions used by the processor. I am taking a digital circuits class and they have been going over binary and hex and octal numbering systems so i figured id try my hand at writing a function for ea of them so i can better under how to manipulate the numbers between the bases.

 

Your going to be so fluent in bit operations lol! You already taught me it once, so here you are again with it, I think I forget some of it. You can teach me again if you ever want to lol.

 

Remembering when we went over all this on skype for some time

[FHannes]

My main point is that as you say, the bitwise operations are oen of the most basic operations a CPU can perform, which makes them blazing fast, where as the division, power and rounding operations you use are very expensive. Also, whenever possible, don't use decimal numbers, these are also a lot more expensive to use than integers. but I guess you probably know all of that already if you're taking a circuits class Have you learned how to convert floating point numbers into binary yet?

[shadowrecon]

My main point is that as you say, the bitwise operations are oen of the most basic operations a CPU can perform, which makes them blazing fast, where as the division, power and rounding operations you use are very expensive. Also, whenever possible, don't use decimal numbers, these are also a lot more expensive to use than integers. but I guess you probably know all of that already if you're taking a circuits class Have you learned how to convert floating point numbers into binary yet?

 

Yeah i know all the rounding and math defeats the purpose of bitwise being fast but i just made it so it would work properly but you on the other hand are an expert at making things efficient.

 

And yes i learned how to convert floating point, to binary, its almost the same except u use a negative power for each position.

[AnthonyPhics]

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