1. 前言
最近在整理关于字符集的笔记(整理后可能会做成一个系列的博客,敬请留意:)),其中涉及不同进制之间转换的运算。所以干脆就把几种常用的进制换算做成函数,方便直接调用。以下函数均以T-SQL的语法实现。
2. 列表
- 十进制转二进制
- 十进制转八进制
- 十进制转十六进制
- 十进制转三十六进制
- 二进制转十进制
- 八进制转十进制
- 十六进制转十进制
- 三十六进制转十进制
其中非十进制之间的转换,比如二进转十六进制,或十六进制转二进制等,都可以通过先成十进后再转。所以只要搞定这几个转换,常用的进制互换都实现了。
十进制转二进制
CREATE FUNCTION [dbo].[ufn_bigint2bin] ( @value BIGINT ) RETURNS VARCHAR(64) /*十进制转换为二进制*/ AS BEGIN DECLARE @seq CHAR(2); DECLARE @result VARCHAR(64); DECLARE @digit CHAR(1); DECLARE @power INT; SET @power = 2; SET @seq = '01'; SET @result = SUBSTRING(@seq, ( @value % @power ) + 1, 1); WHILE @value > 0 BEGIN SET @digit = SUBSTRING(@seq, ( ( @value / @power ) % @power ) + 1, 1); SET @value = @value / @power; IF @value <> 0 SET @result = @digit + @result; END; RETURN @result; END; GO
Code-1: 十进制转二进制
十进制转八进制
CREATE FUNCTION [dbo].[ufn_bigint2oct] ( @value BIGINT ) RETURNS VARCHAR(64) /*十进制转换为八进制*/ AS BEGIN DECLARE @seq CHAR(8); DECLARE @result VARCHAR(64); DECLARE @digit CHAR(1); DECLARE @power INT; SET @power = 8; SET @seq = '01234567'; SET @result = SUBSTRING(@seq, ( @value % @power ) + 1, 1); WHILE @value > 0 BEGIN SET @digit = SUBSTRING(@seq, ( ( @value / @power ) % @power ) + 1, 1); SET @value = @value / @power; IF @value <> 0 SET @result = @digit + @result; END; RETURN @result; END; GO
Code-2: 十进制转八进制
十进制转十六进制
1. 内置函数
/*注意值不能超过@i<=2147483647(7FFFFFFF)*/ DECLARE @i INT = 255; SELECT CONVERT(VARBINARY, @i); SELECT CAST(@i AS VARBINARY); SELECT master.dbo.fn_varbintohexstr(@i); GO
Code-3: 内置函数十进制转十六进制
/*如果@i>2147483647,最大不能超过9223372036854775807(7FFFFFFFFFFFFFFF)*/ DECLARE @i BIGINT= 4294967295; SELECT CONVERT(VARBINARY, @i); SELECT CAST(@i AS VARBINARY); SELECT master.dbo.fn_varbintohexstr(@i); GO
Code-4: 内置函数十进制转十六进制
/*如果直接输入具体数值,@i<=2147483647*/ SELECT CONVERT(VARBINARY, 2147483647); SELECT CAST(2147483647 AS VARBINARY); SELECT master.dbo.fn_varbintohexstr(2147483647); GO
Code-5: 内置函数十进制转十六进制
2. 自定义函数
CREATE FUNCTION [dbo].[ufn_bigint2hex] ( @value BIGINT ) RETURNS VARCHAR(64) /*十进制转换为十六进制*/ AS BEGIN DECLARE @seq CHAR(16); DECLARE @result VARCHAR(64); DECLARE @digit CHAR(1); DECLARE @power INT; SET @power = 16; SET @seq = '0123456789ABCDEF'; SET @result = SUBSTRING(@seq, ( @value % @power ) + 1, 1); WHILE @value > 0 BEGIN SET @digit = SUBSTRING(@seq, ( ( @value / @power ) % @power ) + 1, 1); SET @value = @value / @power; IF @value <> 0 SET @result = @digit + @result; END; RETURN @result; END; GO
Code-6: 十进制转十六进制
十进制转三十六进制
CREATE FUNCTION [dbo].[ufn_bigint236hex] ( @value BIGINT ) RETURNS VARCHAR(64) /*十进制转换为三十六进制*/ AS BEGIN DECLARE @seq CHAR(36); DECLARE @result VARCHAR(64); DECLARE @digit CHAR(1); DECLARE @power INT; SET @power = 36; SET @seq = '0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ'; SET @result = SUBSTRING(@seq, ( @value % @power ) + 1, 1); WHILE @value > 0 BEGIN SET @digit = SUBSTRING(@seq, ( ( @value / @power ) % @power ) + 1, 1); SET @value = @value / @power; IF @value <> 0 SET @result = @digit + @result; END; RETURN @result; END; GO
Code-7: 十进制转三十六进制
二进转十进制
CREATE FUNCTION [dbo].[ufn_bin2bigint] ( @bin_string VARCHAR(63) ) RETURNS BIGINT /* 二进制转十进制 */ AS BEGIN DECLARE @result BIGINT; DECLARE @i INT ,@len INT; DECLARE @power BIGINT; SET @power = 2; SELECT @i = 0 ,@result = 0 ,@bin_string = RTRIM(LTRIM(UPPER(@bin_string))); SET @len = LEN(@bin_string); IF ( @len = 63 ) BEGIN IF ( UNICODE(SUBSTRING(@bin_string, 1, 1)) > 49 ) BEGIN RETURN NULL; END; END; WHILE ( @i < @len ) BEGIN IF ( ( SUBSTRING(@bin_string, @len - @i, 1) NOT BETWEEN '0' AND '1' ) ) BEGIN SET @result = NULL; BREAK; END; SET @result = @result + ( CHARINDEX(SUBSTRING(@bin_string, @len - @i, 1), '01') - 1 ) * CAST(POWER(@power, @i) AS BIGINT); SET @i = @i + 1; END; RETURN @result; END; GO
Code-8: 二进制转十进制
八进制转十进制
CREATE FUNCTION [dbo].[ufn_oct2bigint] ( @oct_string VARCHAR(21) ) RETURNS BIGINT /*八进制转十进制*/ AS BEGIN DECLARE @result BIGINT; DECLARE @i INT ,@len INT; DECLARE @power BIGINT; SET @power = 8; SELECT @i = 0 ,@result = 0 ,@oct_string = RTRIM(LTRIM(UPPER(@oct_string))); SET @len = LEN(@oct_string); IF ( @len = 21 ) BEGIN IF ( UNICODE(SUBSTRING(@oct_string, 1, 1)) > 55 ) BEGIN RETURN NULL; END; END; WHILE ( @i < @len ) BEGIN IF ( ( SUBSTRING(@oct_string, @len - @i, 1) NOT BETWEEN '0' AND '7' ) ) BEGIN SET @result = NULL; BREAK; END; SET @result = @result + ( CHARINDEX(SUBSTRING(@oct_string, @len - @i, 1), '01234567') - 1 ) * CAST(POWER(@power, @i) AS BIGINT); SET @i = @i + 1; END; RETURN @result; END; GO
Code-9: 八进制转十进制
十六进制转十进制
1. 内置函数
/*16进制是偶数位的,并且不包含前缀0x*/ DECLARE @s VARCHAR(16) = 'FF'; SELECT CONVERT(BIGINT, CONVERT(VARBINARY, CAST(N'0x' + @s AS VARCHAR), 1));
Code-10: 内置函数十六进制转十进制
2. 自定义函数
CREATE FUNCTION [dbo].[ufn_hex2bigint] ( @hex_string VARCHAR(16) ) RETURNS BIGINT /*十六进制转十进制*/ AS BEGIN DECLARE @result BIGINT; DECLARE @i INT ,@len INT; DECLARE @power BIGINT; SET @power = 16; SELECT @i = 0 ,@result = 0 ,@hex_string = RTRIM(LTRIM(UPPER(@hex_string))); SET @len = LEN(@hex_string); IF ( @len = 16 ) BEGIN IF ( UNICODE(SUBSTRING(@hex_string, 1, 1)) > 55 ) BEGIN RETURN NULL; END; END; WHILE ( @i < @len ) BEGIN IF ( ( SUBSTRING(@hex_string, @len - @i, 1) NOT BETWEEN '0' AND '9' ) AND ( SUBSTRING(@hex_string, @len - @i, 1) NOT BETWEEN 'A' AND 'F' ) ) BEGIN SET @result = NULL; BREAK; END; SET @result = @result + ( CHARINDEX(SUBSTRING(@hex_string, @len - @i, 1), '0123456789ABCDEF') - 1 ) * CAST(POWER(@power, @i) AS BIGINT); SET @i = @i + 1; END; RETURN @result; END; GO
Code-11: 十六进制转十进制
三十六进制转十进制
CREATE FUNCTION [dbo].[ufn_36hex2bigint] ( @thirtysix_string VARCHAR(13) ) RETURNS BIGINT /*三十六进制转十进制*/ AS BEGIN DECLARE @result BIGINT; DECLARE @i INT ,@len INT; DECLARE @power BIGINT; SET @power = 36; SELECT @i = 0 ,@result = 0 ,@thirtysix_string = RTRIM(LTRIM(UPPER(@thirtysix_string))); SET @len = LEN(@thirtysix_string); IF ( @len = 13 ) BEGIN IF ( UNICODE(SUBSTRING(@thirtysix_string, 1, 1)) > 49 ) BEGIN RETURN NULL; END; END; WHILE ( @i < @len ) BEGIN IF ( ( SUBSTRING(@thirtysix_string, @len - @i, 1) NOT BETWEEN '0' AND '9' ) AND ( SUBSTRING(@thirtysix_string, @len - @i, 1) NOT BETWEEN 'A' AND 'Z' ) ) BEGIN SET @result = NULL; BREAK; END; SET @result = @result + ( CHARINDEX(SUBSTRING(@thirtysix_string, @len - @i, 1), '0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ') - 1 ) * CAST(POWER(@power, @i) AS BIGINT); SET @i = @i + 1; END; RETURN @result; END; GO
Code-12: 三十六进制转十进制
3. 使用示范
--十进转其他进制 SELECT dbo.ufn_bigint2bin(255) AS bigint2bin ,dbo.ufn_bigint2oct(255) AS bigint2oct ,dbo.ufn_bigint2hex(255) AS bigint2hex ,dbo.ufn_bigint236hex(255) AS bigint236hex; --其他进制转十进制 --注意传入参数是字符型的 SELECT dbo.ufn_bin2bigint('11111111') AS bin2bigint ,dbo.ufn_oct2bigint('377') AS oct2bigint ,dbo.ufn_hex2bigint('FF') AS hex2bigint ,dbo.ufn_36hex2bigint('73') AS thirty_six_2bigint; --二进制转十六进制 SELECT dbo.ufn_bigint2hex(dbo.ufn_bin2bigint('11111111')) AS bin2hex; GO
Code-13: 使用示范
Figure-1: 使用示范