| 4001 | 2-input NOR gates |
|
| Technology: CMOS | Power supply: 3-15 V | 14-pin DIL |
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The 4001 has four separate 2-input NOR gates which you can use independently. |
The truth table of each individual gate is:
| input B | input A | output |
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 0 |
where '0' represents a LOW voltage, and '1' represents a HIGH voltage.
You can investigate the behaviour of a single NOR gate using this circuit:

The inputs of the gate must be connected, either to LOW or to HIGH, and must not be left open circuit. This is the function of the input switches with their pull-down resistors. To avoid loading the output of the gate, a transistor switch indicator circuit should be used. It is good practice with CMOS circuits to insert a decoupling capacitor, 47 µF or 100 µF, across the power supply. (This helps to prevent the transfer of spikes along the power supply rails.)
Don't forget -
-
Connect pin 14 of the 4001 to +9 V and pin 7 to 0 V.
This is the test circuit built on prototype board:
In the prototype circuit, it is not essential to make connections to the unused gates.
However, in any final circuit, all unused CMOS inputs must
be connected either to HIGH or to LOW. Make it an absolute rule that CMOS inputs
are never left open circuit.
There is no problem with CMOS outputs. Worry about the inputs and leave any unused outputs unconnected.
An important property of NOR gates is that they can be linked to perform the functions of other logic gates. In fact, any logic function can be implemented using only NOR gates:

If you have designed a system which contains a NOR gate integrated circuit, it can be convenient and cost-effective to implement other logic functions using spare NOR gates which would otherwise be unused.
What happens when NOR gates are linked like this?

It is easy to work out the truth table for this circuit. When you do this, you will discover that the circuit does not give the truth table for a 3-input NOR gate. Unlike AND and OR gates, NOR gates cannot be cascaded in this way.
It is possible to make a 3-input NOR gate using 2-input NOR gates, but the circuit requires an extra gate:

3-input, 4-input, and 8-input NOR gates are available in integrated circuit form, as listed in the links section.
A useful application of NOR gates is in making a SET/RESET bistable, or latch. Here is the circuit:

Once again, notice that you must have a switch/resistor voltage divider at the inputs to the NOR gates. With a NOR gate latch, the inputs are held LOW and pulsed HIGH. This means that you need pull-down resistors. (Compare this circuit with a SET/RESET latch bistable built using NAND gates.)
To avoid loading the outputs of the latch, transistor switch/LED indicators are used. It is a common mistake to connect LEDs directly to the latch outputs:

Even with current-limiting resistors connected in series with the LEDs, this circuit might not work because the voltages at the outputs of the latch are pulled downwards and may not count as HIGH when they are supposed to be HIGH.
If you connect LEDs without current-limiting resistors, the circuit cannot possibly work.
This is the correct circuit built on prototype board:

Cross references in the Beastie Zone:
NOR GATE
BISTABLE
4000, 3-input NOR + inverter, 4002 4-input NOR, 4025 3-input NOR, 4078 8-input NOR
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