逻辑联接词之合取

rex posted @ Aug 29, 2009 04:59:30 PM in 离散数学 with tags c 离散数学 笔记 逻辑 , 2496 readers

c语言提供了几个位操作符,其中:

  • bitwise AND operator: &
  • bitwise Exclusive OR operator: ^
  • bitwise Inclusive OR operator: |

其结合力是依次递减的。

清华版《离散数学》(9787302130666),第1.2.2的合取、析取,使用c语言实现是:

#include<stdio.h>


//条件:设p与q是两个命题,若p则q
//只有当p为1,q为0时返回0值,其余返回1.
tiaojian(p,q)
{
    return (p && !q)?0:1;
}

//双条件:设p与q是两个命题,p当且仅当q,p的充分必要条件是q
//当且仅当p与q同为0或同为1时返回1,其余返回0
shuangtiaojian(p,q)
{
    return ((p && q)||(!p && !q))?1:0;
}

main()
{
    int p,q;
    printf("P\tQ\tP合取Q\t排斥或\t可兼或\t条件\t双条件\n");
    for(p=0;p<=1;p++)
    {
        for(q=0;q<=1;q++)
        {
            printf("%d\t%d\t%d\t%d\t%d\t%d\t%d\n",p,q,p&q,p^q,p|q,tiaojian(p,q),shuangtiaojian(p,q));
        }
        //printf("\n");
    }
}

 

输出结果:

 

 

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