Difference between revisions of "Arcane mixing techniques"

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The <code>NAND</code> and the <code>NOR</code> gate can be considered to be "universal" because you can make any of the basic operations out of its combinations: an inverter, an <code>OR</code> gate or an <code>AND</code> gate. Non-inverting gates do not have this versatility since they can not make an invert.
 
The <code>NAND</code> and the <code>NOR</code> gate can be considered to be "universal" because you can make any of the basic operations out of its combinations: an inverter, an <code>OR</code> gate or an <code>AND</code> gate. Non-inverting gates do not have this versatility since they can not make an invert.
 +
 +
== Wiring notes ==
 +
* Create (or have at hand) a circuit diagram before starting any wiring. Sketchy is okay.
 +
* Use the longer outer rows for +5V on one side and ground on the other side.
 +
* First wire power to the circuit using a common colour (red) for +5V and another (black) for ground.
 +
* Power off while wiring circuits on the board.
 +
* Maintain a clean household. In general designs tend to get complex and can become difficult to debug. These are not (yet) but it is good practice (see Morgan's laws below).
 +
* Strip insulation off wires no more than necessary to prevent wires from accidentally touching each other.
 +
* Do not push wires too far into holes to prevent causing open circuits or short circuits.
  
 
== Building gate circuits ==
 
== Building gate circuits ==
 +
 
=== Inverter circuit ===
 
=== Inverter circuit ===
  
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I'll do both. Buy a few, and make a few.
 
I'll do both. Buy a few, and make a few.
−
 
−
=== Wiring ===
 
−
 
−
* Create (or have at hand) a circuit diagram before starting any wiring. Sketchy is okay.
 
−
* Use the longer outer rows for +5V on one side and ground on the other side.
 
−
* First wire power to the circuit using a common colour (red) for +5V and another (black) for ground.
 
−
* Power off while wiring circuits on the board.
 
−
* Maintain a clean household. Designs tend to get complex and can become difficult to debug.
 
−
* Strip insulation off wires no more than necessary to prevent wires from accidentally touching each other.
 
−
* Do not push wires too far into holes to prevent causing open circuits or short circuits.
 
  
 
=== Power supply ===
 
=== Power supply ===

Revision as of 17:15, 31 August 2015

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.

Digital gates

AND

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:

And.png
Input 1 Input 2 Output
0 0 0
0 1 0
1 0 0
1 1 1

OR

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:

Or.png
Input 1 Input 2 Output
0 0 0
0 1 1
1 0 1
1 1 1

XOR

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:

Xor.png
Input 1 Input 2 Output
0 0 0
0 1 1
1 0 1
1 1 0

NOT

A logical inverter, alias NOT gate, has only one input and reverses logic state:

Not.png
Input 1 Output
0 1
1 0

 

NAND

A NAND gate works like an AND gate followed by a NOT gate:

Nand.png
Input 1 Input 2 Output
0 0 1
0 1 1
1 0 1
1 1 0

NOR

The NOR gate is a combination OR gate followed by an inverter:

Nor.png
Input 1 Input 2 Output
0 0 1
0 1 0
1 0 0
1 1 0

XNOR

XNOR (exclusive-NOR) gate is a combination of an XOR gate followed by an inverter:

Xnor.png
Input 1 Input 2 Output
0 0 1
0 1 0
1 0 0
1 1 1

Universal gates

The NAND and the NOR gate can be considered to be "universal" because you can make any of the basic operations out of its combinations: an inverter, an OR gate or an AND gate. Non-inverting gates do not have this versatility since they can not make an invert.

Wiring notes

  • Create (or have at hand) a circuit diagram before starting any wiring. Sketchy is okay.
  • Use the longer outer rows for +5V on one side and ground on the other side.
  • First wire power to the circuit using a common colour (red) for +5V and another (black) for ground.
  • Power off while wiring circuits on the board.
  • Maintain a clean household. In general designs tend to get complex and can become difficult to debug. These are not (yet) but it is good practice (see Morgan's laws below).
  • Strip insulation off wires no more than necessary to prevent wires from accidentally touching each other.
  • Do not push wires too far into holes to prevent causing open circuits or short circuits.

Building gate circuits

Inverter circuit

        + 5V ---------------------------+---------------------------->>
                                        |
                                     --------
                                     | 1 KΩ |
                                     --------
                                        |--------------- LED
                                        |
                                        /
                        ---------     |/
         SW 1 ----------| 33 KΩ |-----| pn2222
                        ---------     |\
                                        \
                                        |
         GND ---------------------------+---------------------------->>

NAND circuit

If another transistor is added in series with the transistor in the inverter circuit, a NAND gate is created. 

        + 5V ---------------------------+---------------------------->>
                                        |
                                     --------
                                     | 1 KΩ |
                                     --------
                                        |--------------- LED
                                        |
                                        /
                        ---------     |/
         SW 1 ----------| 33 KΩ |-----| pn2222
                        ---------     |\
                                        \
                                        |
                                        /
                        ---------     |/
         SW 2 ----------| 33 KΩ |-----| pn2222
                        ---------     |\
                                        \
                                        |
         GND ---------------------------+---------------------------->>

NOR circuit

If another transistor is added in parallel with the transistor in the inverter circuit a NOR gate is the result. IOW, a NOR looks like two NOTs sharing a single pull-up transistor of 1 KΩ. 

        + 5V ---------------------------+---------------------------->>
                                        |
                                     --------
                                     | 1 KΩ |
                                     --------
                                        |  +------------ LED
                                     ___|__|_
                                   /         \
                   ---------     |/    pn2222 \|     ---------
         SW 1 -----| 33 KΩ |-----|             |-----| 33 KΩ |----- SW 2
                   ---------     |\ pn2222    /|     ---------
                                   \_________/
                                        |
         GND ---------------------------+---------------------------->>

Boolean algebra

Morgan's laws

Serpent

Resources

Breadboards

Cable-bus.png

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, 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

I'll do both. Buy a few, and make a few.

Power supply

Switches for input

Light emitting diodes (LEDs)

Building gate circuits

Transistors

Transistors are three pin devices. The amount of current that can flow between the collector and emitter is a function of the current flowing through the base of the transistor. If no current is flowing through the base of the transistor, no current will flow through the collector and emitter. With the transistor operating in digital mode, it will be configured to carry the maximum (on) or minimum (off) current from the collector to the emitter that the circuit will allow.

  • 2 pn2222

or

  • 2 2n2222

Resistors

The two resistors are sized to insure that the inverter circuit operates in digital mode:

  • 1 1 KΩ resistor
  • 2 33 kΩ resistor

Capacitors

Chips

TTL Logic

TTL (transistor-transistor-logic) chips were developed with use of transistor switches for logical operations and defines the binary values as:

  • 0 V to 0.8 V = logic 0
  • 2 V to 5 V = logic 1

The 7400 series logic chips have been manufactured since the 1960s and were used to design and build computers but they are no longer used for that. They still have many uses in teaching digital logic. They are easy to obtain and fairly inexpensive. They draw a lot of power and must be supplied with +5 volts. Individual gates may draw 3 to 4 mA. The low power Schottky versions of TTL chips draw only 20% of the power, but are more expensive. These chips have LS in the middle of their model number. Below are a number of datasheets from specific manufacturers. Other manufacturers may also exist (see bottom of datasheet).

CMOS Logic

CMOS (complementary metal oxide semiconductor) chips are lower in power requirements (drawing about 1 mA) and operate with a wide range of supply voltages (typically 3 to 18 volts). The CMOS model number will have a C in the middle of it. A bigh drawback is extreme sensitivity to static electricity - they must be carefully protected from static discharges.

NMOS and PMOS Logic

PMOS and NMOS (p- and n-channel metal oxide semiconductors) offer the advantage of higher component density than TTL chips. They too are sensitive to damage from electrical discharge.

Related

References

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