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Why array index always starts with zero?

Updated: 8/19/2019
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Because that's how the language is defined.

In C, C++, and many other languages, array indecies start with zero. This is by convention, and it also reflects the fact that, in C and C++, array-index syntax can also be expressed in pointer-offset syntax. The pointer locates the first element of the array, and the offset indicates how many elements to skip.

If a is an array name, then the expression a[n] is completely identical to the expression *(a+n), and vice versa.

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Q: Why array index always starts with zero?
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