How do xor gates work

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This is a little offset from a human thinking about OR , as the word or is often associated with one or the other. In other words, our logic works like this:.

All other gates except for the NOT gate are a little more tricky to comprehend, but stay tuned. If you remember our previous example, we were a little surprised that true and true would still lead to true , somewhat unlike human reasoning. This logic gate works like this:.

The input and output are the same as our OR gate, but this time, the input really does need to be exclusive. If the input is true and true , the output is false. Remember our earlier NOT example? This leads to the following outcome:. Hence, the outcome is true 1. The logic is as follows:. In other words, the reverse of a XOR gate outcome.

Yes, it can get a little complex to follow. We already briefly introduced the NOT gate earlier with our human equivalent example.

The NOT gate basically reverses whatever input is given to it. If you provide true as the input, the output will be false and vice versa. Our logic table is simple:. In this example, we basically say: if not true, then echo false, otherwise echo true. Because we use a NOT gate, the output is true even though not true is false. As you can see, code easily gets a little confusing to read and develop when you use NOT gates, and especially so when combining them with AND or OR gates.

But practice makes perfect, and seasoned developers love to use complex gate conditional statements. A NOT gate is usually represented by the! We also covered how logic gates mimic human thinking and how they can help us write complex pieces of programming logic in a computer program. I'd just like to thank you for making Logicly. I found it very useful when I was trying to design circuits for my engineering course at University. An XOR gate sometimes referred to by its extended name, Exclusive OR gate is a digital logic gate with two or more inputs and one output that performs exclusive disjunction.

The output of an XOR gate is true only when exactly one of its inputs is true. If both of an XOR gate's inputs are false , or if both of its inputs are true , then the output of the XOR gate is false. If an XOR gate has more than two inputs, then its behavior depends on its implementation. In the vast majority of cases, an XOR gate will output true if an odd number of its inputs is true.

However, it's important to note that this behavior differs from the strict definition of exclusive or, which insists that exactly one input must be true for the output to be true. Each of the symbols below can be used to represent an XOR gate. There are multiple international standards defined, and one may preferred over the other in your region of the world. Multiple-input gates on All About Circuits. Simulate with Logicly Logicly provides an engaging, hands-on learning environment for teaching logic gates and circuits.

Trusted by Teachers I just wanted to thank you for creating the Logicly gate simulation.