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# How can 0 be even?

Updated: 4/28/2022

Wiki User

13y ago

We need to refer to the mathematical definition of the word "even."

The most commonly accepted definition is that a number "a" is even if there exists an integer "n" which makes the following statement true:

a = 2 x n

0 is an integer. So let n = 0 in the above equation and we get:

0 = 2 x 0

So 0 satisfies the mathematical definition for being even.

Please refer to the article in the "related links" section for a discussion about the misconceptions about zero and why people mistakenly think it is not an even number.

Wiki User

13y ago

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Q: How can 0 be even?
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Its even.

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We need to refer to the mathematical definition of the word "even." The most commonly accepted definition is that a number "a" is even if there exists an integer "n" which makes the following statement true: a = 2 x n 0 is an integer. So let n = 0 in the above equation and we get: 0 = 2 x 0 So 0 satisfies the mathematical definition for being even. Please refer to the article in the "related links" section for a discussion about the misconceptions about zero and why people mistakenly think it is not an even number.

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even :)

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### Finite automata in compiler design containing all strings of 0s and 1's with odd no of 0s and 1's?

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