eolas/Hardware/Logic_Gates/Xor_gate.md

---
categories:
  - Computer Architecture
  - Electronics
  - Hardware
tags: [logic-gates, binary]
---

# XOR gate

 > `XOR` stands for **exclusive or**, also known as **exclusive conjunction**. This means it can only be `true` if one of its propositions are `true` . If both are `true` this doesn't exclude one of the propositions so the overall statement has to be `false` . This is the only change in the truth conditions from `OR` .

![Pasted image 20220319173834.png](../../img/Pasted_image_20220319173834.png)


````
p    q   p xv q
_    _   ________

t    t     f      (1)
t    f     t      (2)
f    t     t      (3)
f    f     f      (4)  
````
Last Sync: 2022-06-04 17:30:04 2022-06-04 17:30:04 +01:00			`---`
Last Sync: 2022-08-20 12:30:04 2022-08-20 12:30:04 +01:00			`categories:`
Last Sync: 2022-08-21 11:00:04 2022-08-21 11:00:04 +01:00			`- Computer Architecture`
Last Sync: 2022-06-04 17:30:04 2022-06-04 17:30:04 +01:00			`- Electronics`
			`- Hardware`
Last Sync: 2022-08-20 15:30:04 2022-08-20 15:30:04 +01:00			`tags: [logic-gates, binary]`
Last Sync: 2022-06-04 17:30:04 2022-06-04 17:30:04 +01:00			`---`

			`# XOR gate`

			> `XOR` stands for exclusive or, also known as exclusive conjunction. This means it can only be `true` if one of its propositions are `true` . If both are `true` this doesn't exclude one of the propositions so the overall statement has to be `false` . This is the only change in the truth conditions from `OR` .

			`![Pasted image 20220319173834.png](../../img/Pasted_image_20220319173834.png)`


			````
			`p q p xv q`
			`_ _ ________`

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