Tag Archives: zero

L27 and Beyond

Mind ToolsYesterday I introduced you to the idea of words as numbers. There are many ways to create a map between words and numbers. For example, we could assign them the number that represents their position in the dictionary. That would make words that start with “A” have smaller numbers while words that start with “Z” would have the largest numbers.

There are also ways to treat the words themselves as numbers. We can interpret the letters the same way we do digits. Each letter has an assigned numeric value, and then a string of letters—just like string of digits—forms a number. The scheme I showed you yesterday allows us to treat (only!) single words as numbers.

Now let’s extend this so that entire sentences—or even entire books—become numbers!

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Sideband #35: Binary and Zero

The ship sailed when I was moved to rant about cable news, but I originally had some idea that Sideband #32 should be another rumination on bits and binary (like Sidebands #25 and #28). After all, 32-bit systems are the common currency these days, and 32 bits jumps you from the toy computer world to the real computer world. Unicode, for example, although it is not technically a “32-bit standard,” fits most naturally in a 32-bit architecture.

When you go from 16-bit systems to 32-bit systems, your counting ability leaps from 64 K (65,536 to be precise) to 4 gig (full precision version: 4,294,967,296). This is what makes 16-bit systems “toys” (although some are plenty sophisticated). Numbers no bigger than 65 thousand (half that if you want plus and minus numbers) just don’t cut very far.

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