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29
Hardware/Logic_Gates/Logic_circuits.md
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@ -1,20 +1,19 @@
--- ---
tags: tags:
- Theory_of_Computation
- Logic - Logic
- Electronics - Electronics
- binary - binary
--- ---
# Logic circuits
> > Now that we are familiar with the individual [logic gates](Logic_gates.md) and their truth conditions we are in a position to create **logic circuits**. These are combinations of logic gates controlled by inputs that can provide a range of useful outputs. The output of a logic gate is a function of the truth-values of the individual gates and their connections to each other.
> Now that we are familiar with the individual logic gates and their truth conditions we are in a position to create **logic circuits**. These are combinations of logic gates controlled by inputs that can provide a range of useful outputs.
## Basic example ## Basic example
In the below circuit we have the following gates connected to two inputs with one output, moving through the following stages: In the below circuit we have the following gates connected to two inputs with one output, moving through the following stages:
1. `AND`, `NOT` , `NOT` 1. `AND`, `NOT`, `NOT`
1. `AND`, `NOR` 1. `AND`, `NOR`
This is equivalent to the following truth table: This is equivalent to the following truth table:
@ -29,12 +28,19 @@ _ _ _____
1 1 0 (4) 1 1 0 (4)
```` ````
![Screenshot_2020-08-31_at_13.52.25.png](../img/Screenshot_2020-08-31_at_13.52.25.png) ![](../img/../../img/Screenshot_2020-08-31_at_13.52.25.png)
*Line 1 of the truth table* *Line 1 of the truth table*
![Screenshot_2020-08-31_at_13.52.34.png](../img/Screenshot_2020-08-31_at_13.52.34.png)
![](../img/../../img/Screenshot_2020-08-31_at_13.52.34.png)
*Line 2 and 3 of the truth table (equivalent to each other)* *Line 2 and 3 of the truth table (equivalent to each other)*
![Screenshot_2020-08-31_at_13.52.42.png](../img/Screenshot_2020-08-31_at_13.52.42.png)
![](../img/../../img/Screenshot_2020-08-31_at_13.52.42.png)
*Line 4 of the truth table* *Line 4 of the truth table*
## Applied example ## Applied example
@ -47,8 +53,10 @@ It corresponds to an automatic sliding door and has the following states
* a proximity sensor that opens the doors when someone approaches from the inside * a proximity sensor that opens the doors when someone approaches from the inside
* a manual override that locks both approaches (inside and out) meaning no one can enter of leave * a manual override that locks both approaches (inside and out) meaning no one can enter of leave
Here's a visual representation:! Here's a visual representation:
[logic_circuits_5.gif](../img/logic_circuits_5.gif)
![logic_circuits_5.gif](../img/../../img/logic_circuits_5.gif)
The following truth table represents this behaviour, with A and B as the door states, C as the override and X as the door action (0 = open, 1 = closed) The following truth table represents this behaviour, with A and B as the door states, C as the override and X as the door action (0 = open, 1 = closed)
```` ````
@ -65,5 +73,6 @@ _ _ _ _
1 1 1 1 1 1 1 1
```` ````
![Screenshot_2020-08-31_at_14.12.48.png](../img/Screenshot_2020-08-31_at_14.12.48.png) ![](../img/../../img/Screenshot_2020-08-31_at_14.12.48.png)
*Automatic door sensor with manual override* *Automatic door sensor with manual override*

2
Hardware/Memory/Basics.md
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@ -8,7 +8,7 @@ tags:
In essence the main memory is just a large storage area for a bunch of binary digits. Each slot for a 0 or 1 is called a bit: In essence the main memory is just a large storage area for a bunch of binary digits. Each slot for a 0 or 1 is called a bit:
> This is where the running kernal and processes reside - they're just big collections of bits. A CPU is just an operator on memory. It reads its instructions and data from the memory and write back out to the memory. (Ward 2021) > This is where the running kernal and processes reside - they're just big collections of bits. A CPU is just an operator on memory. It reads its instructions and data from the memory and writes back out to the memory. (Ward 2021)
## References ## References