Java和python运算符

Java和python运算符,java,python,operators,Java,Python,Operators,对于CompSci类,我们正在复习Java数学类。作为一个愚蠢的程序员,我尝试使用^operator而不是Math.pow函数。惊讶,惊讶,它不起作用。但是,Java吐出了什么,这是我的问题。我正在试图弄清楚正在对这些数字进行的操作。你可以在下面看到我在说什么 System.out.println(5^1); System.out.println(5^2); System.out.println(5^3); System.out.println(5^4); System.out.println(

对于CompSci类,我们正在复习Java数学类。作为一个愚蠢的程序员,我尝试使用^operator而不是Math.pow函数。惊讶,惊讶,它不起作用。但是,Java吐出了什么,这是我的问题。我正在试图弄清楚正在对这些数字进行的操作。你可以在下面看到我在说什么

System.out.println(5^1);
System.out.println(5^2);
System.out.println(5^3);
System.out.println(5^4);
System.out.println(5^5);
System.out.println(5^6);
System.out.println(5^7);
System.out.println(5^8);
System.out.println(5^9);
运行上述操作,我得到以下结果:

4
7
6
1
0
3
2
13
12
同样的事情也会发生在我用Python做同样的事情时(
print5^1
,等等)。JavaAPI文档说,^是一个“按位异或”,但这对于如何从5和3中获取6仍然没有帮助。有人能解释为什么会发生这种情况吗?

这是一种按位操作,因此它对数字的二进制位进行操作。6是二进制形式的
110
。5是二进制形式的
101

110
101
=== (^ xor)
011
011
是二进制的3


在Java中,应用于
int
参数的
^
运算符是按位异或。这就解释了输出。对于5和3的特殊情况:

101 (5)
011 (3)
---
110 (6)
请注意,对于逻辑参数,它是逻辑异或。在这种情况下,
(b1^b2)==(b1!=b2)

这就是问题所在


^
是按位异或运算符。所以

5 ^ 1: -

101 -> 5
001 -> 1
--- XOR
100 = 4
  • 1或1=0
  • 1异或0=1
请参阅以下链接:-

^
是,它的真值表如下所示:

  | 0 | 1 |
0 | 0 | 1 |
1 | 1 | 0 |
  0000 0101 (5)
^ 0000 0011 (3)
= 0000 0110 (6)
因此,仅当输入不同时,输出位为
1
,否则为
0
。所以
5^3
看起来像这样:

  | 0 | 1 |
0 | 0 | 1 |
1 | 1 | 0 |
  0000 0101 (5)
^ 0000 0011 (3)
= 0000 0110 (6)

所以它在做它应该做的事情。查看和以获取更多参考。

这是因为五的二进制表示为101b,三的二进制表示为011b

Xor的工作方式如下:

0 xor 0 = 0
0 xor 1 = 1
1 xor 0 = 1
1 xor 1 = 0
因此:
101 xor 011=110,这是六的二进制表示。

好的,让我们来看第一个例子。最简单的一个。采取
5^1

5可以用二进制表示,如so
101
,一个可以用so
001
表示

101    XOR
001
---
100 = 4 (in decimal)

因为
1xor 1=0
0xor 0=0
1xor 0=1
。只需查看XOR上的页面。

希望这个小程序能够使用它打印的示例更好地解释异或运算符:

>>> for x, y in ((x, y) for x in range(11) for y in range(x, 11)):
    print('''{0} ^ {1} = {2} (Why?)
Because:
{0:04b} = {0}
^^^^
{1:04b} = {1}
====
{2:04b} = {2}
'''.format(x, y, x ^ y))


0 ^ 0 = 0 (Why?)
Because:
0000 = 0
^^^^
0000 = 0
====
0000 = 0

0 ^ 1 = 1 (Why?)
Because:
0000 = 0
^^^^
0001 = 1
====
0001 = 1

0 ^ 2 = 2 (Why?)
Because:
0000 = 0
^^^^
0010 = 2
====
0010 = 2

0 ^ 3 = 3 (Why?)
Because:
0000 = 0
^^^^
0011 = 3
====
0011 = 3

0 ^ 4 = 4 (Why?)
Because:
0000 = 0
^^^^
0100 = 4
====
0100 = 4

0 ^ 5 = 5 (Why?)
Because:
0000 = 0
^^^^
0101 = 5
====
0101 = 5

0 ^ 6 = 6 (Why?)
Because:
0000 = 0
^^^^
0110 = 6
====
0110 = 6

0 ^ 7 = 7 (Why?)
Because:
0000 = 0
^^^^
0111 = 7
====
0111 = 7

0 ^ 8 = 8 (Why?)
Because:
0000 = 0
^^^^
1000 = 8
====
1000 = 8

0 ^ 9 = 9 (Why?)
Because:
0000 = 0
^^^^
1001 = 9
====
1001 = 9

0 ^ 10 = 10 (Why?)
Because:
0000 = 0
^^^^
1010 = 10
====
1010 = 10

1 ^ 1 = 0 (Why?)
Because:
0001 = 1
^^^^
0001 = 1
====
0000 = 0

1 ^ 2 = 3 (Why?)
Because:
0001 = 1
^^^^
0010 = 2
====
0011 = 3

1 ^ 3 = 2 (Why?)
Because:
0001 = 1
^^^^
0011 = 3
====
0010 = 2

1 ^ 4 = 5 (Why?)
Because:
0001 = 1
^^^^
0100 = 4
====
0101 = 5

1 ^ 5 = 4 (Why?)
Because:
0001 = 1
^^^^
0101 = 5
====
0100 = 4

1 ^ 6 = 7 (Why?)
Because:
0001 = 1
^^^^
0110 = 6
====
0111 = 7

1 ^ 7 = 6 (Why?)
Because:
0001 = 1
^^^^
0111 = 7
====
0110 = 6

1 ^ 8 = 9 (Why?)
Because:
0001 = 1
^^^^
1000 = 8
====
1001 = 9

1 ^ 9 = 8 (Why?)
Because:
0001 = 1
^^^^
1001 = 9
====
1000 = 8

1 ^ 10 = 11 (Why?)
Because:
0001 = 1
^^^^
1010 = 10
====
1011 = 11

2 ^ 2 = 0 (Why?)
Because:
0010 = 2
^^^^
0010 = 2
====
0000 = 0

2 ^ 3 = 1 (Why?)
Because:
0010 = 2
^^^^
0011 = 3
====
0001 = 1

2 ^ 4 = 6 (Why?)
Because:
0010 = 2
^^^^
0100 = 4
====
0110 = 6

2 ^ 5 = 7 (Why?)
Because:
0010 = 2
^^^^
0101 = 5
====
0111 = 7

2 ^ 6 = 4 (Why?)
Because:
0010 = 2
^^^^
0110 = 6
====
0100 = 4

2 ^ 7 = 5 (Why?)
Because:
0010 = 2
^^^^
0111 = 7
====
0101 = 5

2 ^ 8 = 10 (Why?)
Because:
0010 = 2
^^^^
1000 = 8
====
1010 = 10

2 ^ 9 = 11 (Why?)
Because:
0010 = 2
^^^^
1001 = 9
====
1011 = 11

2 ^ 10 = 8 (Why?)
Because:
0010 = 2
^^^^
1010 = 10
====
1000 = 8

3 ^ 3 = 0 (Why?)
Because:
0011 = 3
^^^^
0011 = 3
====
0000 = 0

3 ^ 4 = 7 (Why?)
Because:
0011 = 3
^^^^
0100 = 4
====
0111 = 7

3 ^ 5 = 6 (Why?)
Because:
0011 = 3
^^^^
0101 = 5
====
0110 = 6

3 ^ 6 = 5 (Why?)
Because:
0011 = 3
^^^^
0110 = 6
====
0101 = 5

3 ^ 7 = 4 (Why?)
Because:
0011 = 3
^^^^
0111 = 7
====
0100 = 4

3 ^ 8 = 11 (Why?)
Because:
0011 = 3
^^^^
1000 = 8
====
1011 = 11

3 ^ 9 = 10 (Why?)
Because:
0011 = 3
^^^^
1001 = 9
====
1010 = 10

3 ^ 10 = 9 (Why?)
Because:
0011 = 3
^^^^
1010 = 10
====
1001 = 9

4 ^ 4 = 0 (Why?)
Because:
0100 = 4
^^^^
0100 = 4
====
0000 = 0

4 ^ 5 = 1 (Why?)
Because:
0100 = 4
^^^^
0101 = 5
====
0001 = 1

4 ^ 6 = 2 (Why?)
Because:
0100 = 4
^^^^
0110 = 6
====
0010 = 2

4 ^ 7 = 3 (Why?)
Because:
0100 = 4
^^^^
0111 = 7
====
0011 = 3

4 ^ 8 = 12 (Why?)
Because:
0100 = 4
^^^^
1000 = 8
====
1100 = 12

4 ^ 9 = 13 (Why?)
Because:
0100 = 4
^^^^
1001 = 9
====
1101 = 13

4 ^ 10 = 14 (Why?)
Because:
0100 = 4
^^^^
1010 = 10
====
1110 = 14

5 ^ 5 = 0 (Why?)
Because:
0101 = 5
^^^^
0101 = 5
====
0000 = 0

5 ^ 6 = 3 (Why?)
Because:
0101 = 5
^^^^
0110 = 6
====
0011 = 3

5 ^ 7 = 2 (Why?)
Because:
0101 = 5
^^^^
0111 = 7
====
0010 = 2

5 ^ 8 = 13 (Why?)
Because:
0101 = 5
^^^^
1000 = 8
====
1101 = 13

5 ^ 9 = 12 (Why?)
Because:
0101 = 5
^^^^
1001 = 9
====
1100 = 12

5 ^ 10 = 15 (Why?)
Because:
0101 = 5
^^^^
1010 = 10
====
1111 = 15

6 ^ 6 = 0 (Why?)
Because:
0110 = 6
^^^^
0110 = 6
====
0000 = 0

6 ^ 7 = 1 (Why?)
Because:
0110 = 6
^^^^
0111 = 7
====
0001 = 1

6 ^ 8 = 14 (Why?)
Because:
0110 = 6
^^^^
1000 = 8
====
1110 = 14

6 ^ 9 = 15 (Why?)
Because:
0110 = 6
^^^^
1001 = 9
====
1111 = 15

6 ^ 10 = 12 (Why?)
Because:
0110 = 6
^^^^
1010 = 10
====
1100 = 12

7 ^ 7 = 0 (Why?)
Because:
0111 = 7
^^^^
0111 = 7
====
0000 = 0

7 ^ 8 = 15 (Why?)
Because:
0111 = 7
^^^^
1000 = 8
====
1111 = 15

7 ^ 9 = 14 (Why?)
Because:
0111 = 7
^^^^
1001 = 9
====
1110 = 14

7 ^ 10 = 13 (Why?)
Because:
0111 = 7
^^^^
1010 = 10
====
1101 = 13

8 ^ 8 = 0 (Why?)
Because:
1000 = 8
^^^^
1000 = 8
====
0000 = 0

8 ^ 9 = 1 (Why?)
Because:
1000 = 8
^^^^
1001 = 9
====
0001 = 1

8 ^ 10 = 2 (Why?)
Because:
1000 = 8
^^^^
1010 = 10
====
0010 = 2

9 ^ 9 = 0 (Why?)
Because:
1001 = 9
^^^^
1001 = 9
====
0000 = 0

9 ^ 10 = 3 (Why?)
Because:
1001 = 9
^^^^
1010 = 10
====
0011 = 3

10 ^ 10 = 0 (Why?)
Because:
1010 = 10
^^^^
1010 = 10
====
0000 = 0

>>> 

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