1.算数运算符
加
mysql> select 1+2;
减
mysql> select 2-1;
乘
mysql> select 2*3;
除
mysql> select 5/3;
商
mysql> SELECT 5 DIV 2;
模
mysql> select 5%2,mod(5,2);

2.比较运算符
等于
mysql> select 1=0,1=1,null=null;
不等于
mysql> select 1<>0,1<>1,null<>null;
安全等于
mysql> select 1<=>1,2<=>0,0<=>0,null<=>null;
小于
mysql> select 'a'<'b','a'<'a','a'<'c',1<2;
小于等于
mysql> select 'bdf'<='b','b'<='b',0<1;
大于
mysql> select 'a'>'b','abc'>'a',1>0;
大于等于
mysql> select 'a'>='b','abc'>='a',1>=0,1>=1;
BETWEEN
mysql> select 10 between 10 and 20, 9 between 10 and 20;
IN
mysql> select 1 in (1,2,3), 't' in ('t','a','b','l','e'), 0 in (1,2);
IS NULL
mysql> select 0 is null,null is null;
IS NOT NULL
mysql> select 0 is not null, null is not null;
LIKE
mysql> select 123456 like '123%', 123456 like '%123%', 123456 like '%321%';
REGEXP
mysql> select 'abcdef' regexp 'ab', 'abcdefg' regexp 'k';

3.逻辑运算符
非
mysql> select not 0, not 1, not null;
mysql> select ! 0, ! 1, ! null;
与
mysql> select (1 and 1), (0 and 1), (3 and 1), (1 and null);
mysql> select (1 && 1), (0 && 1), (3 && 1), (1 && null);
或
mysql> select (1 or 0), (0 or 0), (1 or null), (1 or 1), (null or null);
mysql> select (1 || 0), (0 || 0), (1 || null), (1 || 1), (null || null);
异或
mysql> select (1 xor 1), (0 xor 0), (1 xor 0), (0 xor 1), (null xor 1);
mysql> select (1 ^ 1), (0 ^ 0), (1 ^ 0), (0 ^ 1), (null ^ 1);

4.位运算符
位与
mysql> select 2&3;
mysql> select 2&3&4;
位或
mysql> select 2|3;
位异或
mysql> select 2^3;
位取反
mysql> select ~1,~18446744073709551614;
位右移
mysql> select 100>>3;
位左移
mysql> select 100<<3;

5.运算符优先级顺序
最高优先级 :=
1 ||, OR, XOR
2 &&, AND
3 BETWEEN, CASE, WHEN, THEN, ELSE
4 =, <=>, >=, >, <=, <, <>, !=, IS, LIKE, REGEXP, IN
5 |
6 &
7 <<, >>
8 -, +
9 *, /, DIV, %, MOD
10 ^
11 - (unary minus), ~ (unary bit inversion)
12 !, NOT
最低优先级 BINARY, COLLATE

REF:

http://www.jb51.net/article/25657.htm