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一、逻辑代数基础:
1,数字用二进制表示,所有可能出现的数只有0和1两个。
2,基本运算只有“与”、“或”、“非”三种。
与运算定义为:(用 & 表示与运算)
0 & 0 = 0
0 & 1 = 0
1 & 0 = 0
1 & 1 = 1
可以简单理解为:只要有一个0,结果就是0,和乘法类似。
或运算定义为:(用 | 表示与运算)
0 | 0 = 0
0 | 1 = 1
1 | 0 = 1
1 | 1 = 1
可以简单理解为:只要有一个1,结果就是1,和加法类似。
二、逻辑运算示例:
01111010101010101111111111111111 & 1100000 = 1100000
一般可以理解为:
如果要获取一个数字某N位的数值,只需要将这个数字与2的N-1次方(掩码)进行与运算即可。
三、数据库字段定义:
以数据表 binary_sample为例:
create table binary_sample(
uid int unsigned not null,
status int unsigned not null default 0,
primary key(uid),
key i_s(status)
)engine=innodb;
status字段定义:
status字段数据类型为32bit的整数,为了尽可能的存储多个属性,我们将其进行如下定义:
以下所有“位”的描述顺序按照从低到高(从右到左)顺序表示。
0-2位表示用户注册状态:
000 表示新注册未被批准
001 表示注册被批准
010 表示位高级用户
011 表示管理员
100 表示超级管理员
101 保留
110 保留
111 掩码
3-5位用户性别:
000 表示性别不确定
001 表示性别为男
010 表示性别为女
011 保留
100 保留
101 保留
110 保留
111 掩码
如果我们要查询所有 男用户 则:
select * from binary_sample where status & b'111000' = b'001000';
如果我们要查询所有 管理员用户 则:
select * from binary_sample where status & b'111' = b'011';
如果我们要查询所有 男管理员用户 则:
select * from binary_sample where status & b'111111' = b'001011';
如果我们要查询所有 非 新注册未被批准用户 则:
select * from binary_sample where status & b'111' != b'000';
四,使用PHP程序进行此类计算:
define("USER_NEW",0);//000
define("USER_NORMAL",1);//001
define("USER_ADVANCE",2);//010
define("USER_MANAGE",3);//011
define("USER_SUPER",4);//100
define("USER_MASK",7);//111
define("GENDER_UNKNOWN",0);// 000000
define("GENDER_MALE",8);// 001000
define("GENDER_FEMALE",9);// 010000
define("GENDER_MASK",56);// 111000
如果我们要查询所有 男用户 则:
$status=GENDER_MALE;
$mask=GENDER_MASK;
$sql="select * from binary_sample where status & ${mask}' = ${status}";
如果我们要查询所有 管理员用户 则:
$status=USER_MANAGE;
$mask=USER_MASK;
$sql="select * from binary_sample where status & ${mask}' = ${status}";
如果我们要查询所有 男管理员用户 则:
$status=GENDER_MALE & USER_MANAGE;
$mask = GENDER_MASK & GENDER_MASK;
$sql="select * from binary_sample where status & ${mask}' = ${status}";
如果我们要查询所有 非 新注册未被批准用户 则:
$status = USER_NEW;
$mask = USER_MASK;
$sql="select * from binary_sample where status & ${mask} != ${status}";
依此类推,只要定义好每个值的含义,查询基本上就定了。
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