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Difference between revisions of "Bitwise math/Operators/XOR"
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<noinclude>{{subpage|Bitwise math}}</noinclude> | <noinclude>{{subpage|Bitwise math}}</noinclude> | ||
{{info|<center>XOR is a bitwise comparison operator that returns a true bit if the compared bits in question are different. If they are the same, it returns a false bit.</center>}} | {{info|<center>XOR is a bitwise comparison operator that returns a true bit if the compared bits in question are different. If they are the same, it returns a false bit.</center>}} | ||
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| + | ==== XOR rules ==== | ||
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| + | {{:Bitwise math/Operators/XOR/rules}} | ||
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| + | ==== XOR properties ==== | ||
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| + | {{:Bitwise math/Operators/XOR/properties}} | ||
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| + | ==== XOR example ==== | ||
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| + | {{:Bitwise math/Operators/XOR/example}} | ||
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| + | ==== XOR logic table ==== | ||
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| + | {{:Bitwise math/Operators/XOR/logic table}} | ||
Latest revision as of 06:25, 19 July 2012
- back to Bitwise math
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XOR rules
- XOR determines which bits differ in the two binary numbers used as operands.
- 1 xor 1 = 0
- 1 xor 0 = 1
- 0 xor 0 = 0
XOR properties
- Anything xor'd with itself results in 0
- Anything xor'd with 0xF is the same as a "not"
- Anything xor'd with zero results in itself
XOR example
- Example: A xor F = 5
Operation Hexadecimal Binary comment
xor A
F
1010
1111
The first and third bits are true.
The first, second, third, and fourth bits are true.
= 5 0101 The second and fourth bits are true in ONLY one instance as opposed to two.
- The 8’s and 2's placeholders are the same so they return 0.
- The 4’s and 1’s placeholders are different, therefore return true.
XOR logic table
XOR 0 1 2 3 4 5 6 7 8 9 A B C D E F 0 0 1 2 3 4 5 6 7 8 9 A B C D E F 1 1 0 3 2 5 4 7 6 9 8 B A D C F E 2 2 3 0 1 6 7 4 5 A B 8 9 E F C D 3 3 2 1 0 7 6 5 4 B A 9 8 F E D C 4 4 5 6 7 0 1 2 3 C D E F 8 9 A B 5 5 4 7 6 1 0 3 2 D C F E 9 8 B A 6 6 7 4 5 2 3 0 1 E F C D A B 8 9 7 7 6 5 4 3 2 1 0 F E D C B A 9 8 8 8 9 A B C D E F 0 1 2 3 4 5 6 7 9 9 8 B A D C F E 1 0 3 2 5 4 7 6 A A B 8 9 E F C D 2 3 0 1 6 7 4 5 B B A 9 8 F E D C 3 2 1 0 7 6 5 4 C C D E F 8 9 A B 4 5 6 7 0 1 2 3 D D C F E 9 8 B A 5 4 7 6 1 0 3 2 E E F C D A B 8 9 6 7 4 5 2 3 0 1 F F E D C B A 9 8 7 6 5 4 3 2 1 0
