eolas/Hardware/Logic_Gates/And_gate.md

---
categories:
  - Computer_Architecture
  - Electronics
  - Hardware
tags: [logic_gates]
---
# AND gate

Just as we can create `NOT` logic from a NAND gate, without the `AND` conditions, we can create a circuit that exemplifies the truth conditions of `AND` just by discluding those of those of `NOT`.

When we attach two NAND gates in sequence connected to two switches as input this creates the following binary conditions:

````
A    B   Output
_    _   _____

1    1     1       (1)
1    0     0       (2)
0    1     0       (3)
0    0     0       (4)
````

Which is identical to the truth table for `AND` :

````
p    q   p & q
_    _   _____

t    t     t      (1)
t    f     f      (2)
f    t     f      (3)
f    f     f      (4)  
````

**An AND at 0 0 :**

![Screenshot_2020-08-25_at_15.04.10 1.png](../../img/Screenshot_2020-08-25_at_15.04.10.png)

**AND at 1 0 or 0 1 :**
![Screenshot_2020-08-25_at_15.05.20.png](../../img/Screenshot_2020-08-25_at_15.05.20.png)


**AND at 1 1**
![Screenshot_2020-08-25_at_15.05.36.png](../../img/Screenshot_2020-08-25_at_15.05.36.png)

### Symbol for `AND` gate

It's very similar to NAND so be careful not to confuse it

![Pasted image 20220319173651.png](../../img/Pasted_image_20220319173651.png)