Difference between revisions of "Arcane mixing techniques"
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| + | The <code>AND</code> gate behaves in the same way as the logical ''and'' operator: Output is ''true'' when both inputs are ''true'' and any otherwise ''false.'' | ||
'''OR''' | '''OR''' | ||
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[[File:Or.png|140px|thumb|left]] | [[File:Or.png|140px|thumb|left]] | ||
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| + | The <code>OR</code> gate behaves like a logical inclusive ''or'': Output is ''true'' if either or both of the inputs are ''true'' and ''false'' if both inputs are ''false''. | ||
'''XOR''' | '''XOR''' | ||
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[[File:Xor.png|140px|thumb|left]] | [[File:Xor.png|140px|thumb|left]] | ||
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| + | The <code>XOR</code> (e'''x'''clusive-'''OR''') gate acts as a logical ''either/or'': the output is ''true'' if the inputs are different, and ''false'' if the inputs are the same. | ||
'''NOT''' | '''NOT''' | ||
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| + | A logical inverter, alias <code>NOT</code> gate, has only one input and reverses logic state. | ||
'''NAND''' | '''NAND''' | ||
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| + | A <code>NAND</code> gate works like an <code>AND</code> gate followed by a <code>NOT</code> gate. | ||
'''NOR''' | '''NOR''' | ||
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| + | The <code>NOR</code> gate is a combination <code>OR</code> gate followed by an inverter. | ||
'''XNOR''' | '''XNOR''' | ||
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| + | <code>XNOR</code> (e'''x'''clusive-'''NOR''') gate is a combination of an <code>XOR</code> gate followed by an inverter. | ||
== Boolean algebra applied == | == Boolean algebra applied == | ||
== Examples on the board == | == Examples on the board == | ||
Revision as of 11:04, 31 August 2015
Contents
Resources
Breadboards
You can buy solderless breadboards in a shop or online. Mind that you pick scalable like the SD-12 so you can hook up breadboards together and they become reuseful for other projects such as prototyping our own greenhouse sprinkler management systems.
Alternatively (and the path I will take), start gathering and collecting IDC ribbon connectors (Floppy drive cables, old HD cables, SCSI cables) to build your own breadboards with. To do this, you will also need a solder iron, hot glue, wire (for example telephone wire will do), a small screw driver, and a clamp. This board will also be scalable. Fine grained scalable. :D
Digital techniques basics
For conceptual basics from the atomic level up see Semiconductors, Diodes and Transistors https://www.youtube.com/watch?v=wPHG0DCWcC0 AND An Introduction to Logic Gates https://www.youtube.com/watch?t=10&v=95kv5BF2Z9E.
Gates
AND
| Input 1 | Input 2 | Output |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |
The AND gate behaves in the same way as the logical and operator: Output is true when both inputs are true and any otherwise false.
OR
| Input 1 | Input 2 | Output |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 1 |
The OR gate behaves like a logical inclusive or: Output is true if either or both of the inputs are true and false if both inputs are false.
XOR
| Input 1 | Input 2 | Output |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
The XOR (exclusive-OR) gate acts as a logical either/or: the output is true if the inputs are different, and false if the inputs are the same.
NOT
| Input 1 | Output |
|---|---|
| 0 | 1 |
| 1 | 0 |
A logical inverter, alias NOT gate, has only one input and reverses logic state.
NAND
| Input 1 | Input 2 | Output |
|---|---|---|
| 0 | 0 | 1 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
A NAND gate works like an AND gate followed by a NOT gate.
NOR
| Input 1 | Input 2 | Output |
|---|---|---|
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 0 |
The NOR gate is a combination OR gate followed by an inverter.
XNOR
| Input 1 | Input 2 | Output |
|---|---|---|
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |
XNOR (exclusive-NOR) gate is a combination of an XOR gate followed by an inverter.