eolas/Hardware/Logic_Gates/Not_gate.md
2022-06-04 16:00:04 +01:00

34 lines
1.4 KiB
Markdown

---
tags:
- Logic
- Electronics
- Hardware
- logic-gates
---
# NOT gate
This gate corresponds to the `NOT` Boolean or negation logical connective. It is really simple and derived from the trivial logical fact that `true` is `true` and `false` is `false` also known as **logical identity**.
### Natural language
>
> The negation operator (`¬` or `~` ) switches the value of a proposition from `true` to `false`. When we put `~` before `true` it becomes `false` and when we put `~` before `false` it becomes `true` .
### Truth table
![1-w2ILS6M9pgmLcK6V1PEs3Q.png](../../img/1-w2ILS6M9pgmLcK6V1PEs3Q.png)
This corresponds to a simple on-off switch.
In terms of logic gates we would create this by using a single NAND gate. Although it can take a total of two inputs, it would be controlled by a single switch, so both inputs would be set to `1 1` or `0 0` when the switch is activated and deactivated. This would remove the `AND` aspect of `NAND` and reduce it to `NOT` .
A NAND gate simulating NOT logic
![Screenshot_2020-08-25_at_15.09.01.png](../../img/Screenshot_2020-08-25_at_15.09.01.png)
TO DO: Come back to this with new book and explain better how a NAND can be reduced to NOT.
### Symbol for `NOT` gate
NOT has its own electrical symbol to distinguish it from a NAND:
![Screenshot_2020-08-25_at_15.18.34.png](../../img/Screenshot_2020-08-25_at_15.18.34.png)