Bifalgorithm post

"Have you ever wondered why almost every programming language starts arrays at zero? Was it just a random decision? Or is there actually a deeper reason behind it? Most people imagine an array as a row of little boxes. But that's not how a computer sees it. To a computer, an array is simply a continuous block of memory. Imagine the first element starts at memory address 1000. And let's say each integer takes 4 bytes. That means the next element isn't stored somewhere random. It's simply 4 bytes ahead. The one after that, another 4 bytes ahead. Now here's the part that changes everything. The computer never asks, which element do you want? Instead, it asks, how far should I move from the beginning? And that's exactly what an index represents. It's not an element number. It's an offset from the start of the array. Because of that, the computer can calculate the address of any element using one simple formula. Address equals base address plus index times element size. Now think about the very first element. How far is it from the beginning of the array? Zero bytes. You're already standing on it. So its address becomes base address plus zero times element size, which is simply the base address itself. The second element, move forward by one element. The third, move forward by two. Every single element follows the exact same formula. No special cases, no extra work. Now imagine array started at 1 instead. The formula would become base address plus index minus 1 times element size. That timey subtraction might not seem like a big deal. But imagine doing it for every array access in every program billions of times. Why add extra work when the first element is already 0 distance away? That's why arrays start at 0. Not because programmers love the number 0. but because the first element is zero bytes away from the beginning of memory. And that's the real idea. An array index doesn't count elements. It measures distance from the start of memory. And the distance to the very first element is always zero."

"Have you ever wondered why almost every programming language starts arrays at zero? Was it just a random decision? Or is there actually a deeper reason behind…