Truth Table Generator For Any Base!

Jul 25, 2007

This little handy algorithm provides a truth table for any range of numbers between 0 and 65535 of any base between 2 and 36!
As a twist, you can either return the digits concatenated or as separate columns.CREATE PROCEDURE dbo.uspTruthTable
(
@FromNumber SMALLINT = 0,
@ToNumber INT = 255,
@Step INT = 1,
@Base TINYINT = 2,
@Concat BIT = 0
)
AS

SET NOCOUNT ON

DECLARE @Temp INT,
@SQL VARCHAR(8000),
@b VARCHAR(12),
@d VARCHAR(2),
@Diff INT,
@Digits CHAR(36)

IF @FromNumber > @ToNumber
SELECT@Temp = @FromNumber,
@FromNumber = @ToNumber,
@ToNumber = @Temp

IF @FromNumber < 0
BEGIN
RAISERROR('The parameter FromNumber %d is less than 0 (base 10).', 16, 1, @FromNumber)
RETURN
END

IF @ToNumber > 65535
BEGIN
RAISERROR('The parameter ToNumber %d is greater than 65535 (base 10).', 16, 1, @ToNumber)
RETURN
END

IF @Base < 2
BEGIN
RAISERROR('The parameter Base %d is less than 2 (base 10).', 16, 1, @Base)
RETURN
END

IF @Base > 36
BEGIN
RAISERROR('The parameter Base %d is greater than 36 (base 10).', 16, 1, @Base)
RETURN
END

SELECT@SQL = '',
@Temp = FLOOR(LOG(@ToNumber) / LOG(@Base)),
@Diff = @ToNumber - @FromNumber + 1,
@Digits = '0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ'

WHILE @Temp >=0
SELECT@b = CONVERT(VARCHAR, @Base),
@d = CONVERT(VARCHAR, @Temp),
@SQL = @SQL +CASE
WHEN @Concat = 1 THEN '+SUBSTRING(''' + @Digits + ''',1 + Number/POWER(' + @b + ',' + @d + ') % ' + @b + ', 1)'
ELSE ',SUBSTRING(''' + @Digits + ''',1 + Number/POWER(' + @b + ',' + @d + ') % ' + @b + ', 1) AS Digit' + @d
END,
@Temp = @Temp - 1

CREATE TABLE#Numbers
(
Number INT PRIMARY KEY
)

INSERT#Numbers
(
Number
)
VALUES(
@FromNumber
)

WHILE @Step <= @Diff
BEGIN
INSERT#Numbers
SELECT@Step + Number
FROM#Numbers
WHERENumber <= @ToNumber - @Step

SET@Step = @Step * 2
END

IF @Concat = 1
SET @SQL = 'SELECT Number, ''''' + @SQL + ' AS Digits FROM #Numbers ORDER BY Number'
ELSE
SET @SQL = 'SELECT Number' + @SQL + ' FROM #Numbers ORDER BY Number'

EXEC (@SQL)

DROP TABLE #NumbersYou can use the algorithm like these examplesEXEC dbo.uspTruthTable
EXEC dbo.uspTruthTable 0, 255, 1, 8
EXEC dbo.uspTruthTable DEFAULT, 15, 1, 2
E 12°55'05.76"
N 56°04'39.42"

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