Chapter 6: Difference between revisions
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New page: ===Digital Logic=== {| class="wikitable" border="1" style="text-align:center" |+Boolean Algebra !A!!B!!NAND!!NOR!!XOR |- |0||0||1 ||1 ||0 |- |0||1||1 ||0 ||1 |- |1||0||1 ||0 ||1 ... |
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!A!!B!!NAND!!NOR!!XOR | !A!!B!!NAND<br><math>\overline{AB}</math>!!NOR<br><math>\overline{A+B}</math>!!XOR<br><math>A\oplus B</math> | ||
|- | |- | ||
|0||0||1 | |0||0||1||1||0 | ||
|- | |- | ||
|0||1||1 | |0||1||1||0||1 | ||
|- | |- | ||
|1||0||1 | |1||0||1||0||1 | ||
|- | |- | ||
|1||1||0 | |1||1||0||0||0 | ||
|} | |} | ||
*'''Basic Gates''' | |||
:*NAND: <math>\overline{AB}</math> | |||
:*NOR: <math>\overline{A+B}</math> | |||
:*XOR: <math>A\oplus B</math> | |||
*'''NAND Equivalent Gates''' | |||
:*Inv: <math>\overline{AA}=\overline{A}</math>, Nand with the inputs tied together | |||
:*AND: <math>\overline{(\overline{AB})}</math>, NAND followed by and Inv | |||
:*OR: <math>\overline{(\overline{A} \, \overline{B})}=A+B</math> | |||
*De Morgan Laws | |||
:* | |||
:* | |||
Revision as of 20:09, 23 March 2010
Digital Logic
| A | B | NAND |
NOR |
XOR |
|---|---|---|---|---|
| 0 | 0 | 1 | 1 | 0 |
| 0 | 1 | 1 | 0 | 1 |
| 1 | 0 | 1 | 0 | 1 |
| 1 | 1 | 0 | 0 | 0 |
- Basic Gates
- NAND:
- NOR:
- XOR:
- NAND Equivalent Gates
- Inv: , Nand with the inputs tied together
- AND: , NAND followed by and Inv
- OR:
- De Morgan Laws