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Difference between revisions of "Bitwise math/Operators/AND"
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GertieUbpgdd (Talk | contribs) (Created page with "<noinclude>{{subpage|Bitwise math}}</noinclude> {{info|<center>'''AND''' returns “TRUE” per true bit in both of the required two operands. True is 1 and false is 0. It operat...") |
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<noinclude>{{subpage|Bitwise math}}</noinclude> | <noinclude>{{subpage|Bitwise math}}</noinclude> | ||
{{info|<center>'''AND''' returns “TRUE” per true bit in both of the required two operands. True is 1 and false is 0. It operates bit by bit, just like '''NOT'''.</center>}} | {{info|<center>'''AND''' returns “TRUE” per true bit in both of the required two operands. True is 1 and false is 0. It operates bit by bit, just like '''NOT'''.</center>}} | ||
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| + | ==== AND rules ==== | ||
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| + | {{:Bitwise math/Operators/AND/rules}} | ||
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| + | ==== AND properties ==== | ||
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| + | {{:Bitwise math/Operators/AND/properties}} | ||
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| + | ==== AND example ==== | ||
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| + | {{:Bitwise math/Operators/AND/example}} | ||
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| + | ==== AND logic table ==== | ||
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| + | {{:Bitwise math/Operators/AND/logic table}} | ||
Latest revision as of 06:29, 19 July 2012
- back to Bitwise math
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AND rules
- AND compares each bit and if both bits per placeholder are true, then it returns a true for that placeholder, all else gets turned into 0.
- 1 and 1 = 1
- 1 and 0 = 0
- 0 and 0 = 0
AND properties
- anything AND'd by itself results in itself
- anything AND'd with 0xF results in itself
- anything AND'd with 0x0 results in 0x0
AND example
- Example: 0x6 AND 0x5 = 0x4
Operation Hexadecimal Binary comment
and 6
5
0110
0101
The second and third bits are true.
The second and fourth bits are true.
= 4 0100 The second bit is the only one true in both instances (5 and 6).
AND logic table
AND 0 1 2 3 4 5 6 7 8 9 A B C D E F 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 4 0 0 0 0 4 4 4 4 0 0 0 0 4 4 4 4 5 0 1 0 1 4 5 4 5 0 1 0 1 4 5 4 5 6 0 0 2 2 4 4 6 6 0 0 2 2 4 4 6 6 7 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 8 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 9 0 1 0 1 0 1 0 1 8 9 8 9 8 9 8 9 A 0 0 2 2 0 0 2 2 8 8 A A 8 8 A A B 0 1 2 3 0 1 2 3 8 9 A B 8 9 A B C 0 0 0 0 4 4 4 4 8 8 8 8 C C C C D 0 1 0 1 4 5 4 5 8 9 8 9 C D C D E 0 0 2 2 4 4 6 6 8 8 A A C C E E F 0 1 2 3 4 5 6 7 8 9 A B C D E F
