Java和python ^運算符

Question

對於CompSci類，我們正在查看Java Math類。 作為我的愚蠢程序員，我嘗試使用^運算符而不是Math.pow函數。 驚喜，驚喜，它沒有​​用。 但是，Java吐出的是我的問題。 我試圖弄清楚正在使用數字進行的操作。 你可以在下面看到我在說什么。

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);

運行上面的內容，我得到以下內容：

4
7
6
1
0
3
2
13
12

當我在Python中使用等效的東西時會發生同樣的事情（ print 5^1等等）。 Java API文檔說^是一個“按位異或”，但是仍然沒有幫助從5和3得到6如何。有人可以解釋為什么會發生這種情況嗎？

Answer 1

這是一個按位運算，因此它對數字的二進制位進行操作。 6是110二進制形式。 5是二進制形式的101 。

110
101
=== (^ xor)
011

011是二進制3。

閱讀https://en.wikipedia.org/wiki/Exclusive_or

Answer 2

好的，讓我們來看第一個例子。 最簡單的一個。 拿5^1 。

圖5中所示的數字可以用二進制表示，如圖101並且可以用001表示一個。

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

因為1 XOR 1 = 0 0 XOR 0 = 0且1 XOR 0 = 1 。 只需去看看XOR上的維基頁面。

Answer 3

這是XOR操作 。

5 = 101 in binary
3 = 011 in binary

    101
XOR 011 
  = 110 = 6 in decimal

Answer 4

在Java中，應用於int參數的^運算符是按位異或。 這解釋了輸出。 對於5和3的特定情況：

101 (5)
011 (3)
---
110 (6)

請注意，對於邏輯參數，它是邏輯異或。 在那種情況下(b1 ^ b2) == (b1 != b2) 。

Answer 5

^是BitWise XOR運算符。 所以，

5 ^ 1: -

101 -> 5
001 -> 1
--- XOR
100 = 4

• 1 XOR 1 = 0
• 1 XOR 0 = 1

看到這些鏈接： -

• http://en.wikipedia.org/wiki/Bitwise_operation
• http://en.wikipedia.org/wiki/Exclusive_or

Answer 6

^是按位XOR運算 ，它的真值表如下所示：

  | 0 | 1 |
0 | 0 | 1 |
1 | 1 | 0 |

因此，僅當輸入不同時輸出位為1 ，否則為0 。 所以5 ^ 3看起來像這樣：

  0000 0101 (5)
^ 0000 0011 (3)
= 0000 0110 (6)

所以它正在做它應該做的事情。 查看用於按位運算的Nuts and Bolts教程以及此SO問題以獲取更多參考資料。

Answer 7

這是因為五位的二進制表示是101b，三位是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即6的二進制表示。

Answer 8

希望這個小程序有助於使用它打印的示例更好地解釋獨占或運算符：

>>> 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

>>>