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A single byte holds eight bits, which allows two hundred fifty-six different values to be represented.

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The longer version

Eight switches, each free to be on or off, produce two multiplied by itself eight times possible patterns, which is two hundred fifty-six. Arranged as a binary number those patterns run from all off to all on, giving every whole value from zero through two hundred fifty-five.

The count depends entirely on the doubling rule: every extra bit doubles the total, so nine bits would give five hundred twelve and ten would give one thousand twenty-four. Eight won out partly because it stores a single text character comfortably and splits neatly into two four bit halves. Grouping bits this way is what turns raw storage into addressable units.

Where this entry sits

This section collects odd corners of mathematics, from stubborn prime numbers to counting systems older than modern schools. Expect famous constants, probability puzzles, shapes that break everyday intuition, and numbers far too large to picture. The full list sits on the Numbers and Math page, where every entry is listed in order.

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29

Hexadecimal uses sixteen symbols per place, mixing the usual digits with letters from a through f.

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The Babylonians counted in base sixty, which is why hours still have sixty minutes and circles have degrees.

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31

A dozen is twelve, a gross is one hundred forty-four, and both remain common in wholesale counting.

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32

Most people use base ten for counting, likely because humans have ten fingers on their two hands.

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33

Triangles always have interior angles that add to one hundred eighty degrees in flat Euclidean geometry.

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The angles of a triangle drawn on a sphere add to more than one hundred eighty degrees, unlike flat triangles.

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Parallel lines never meet in flat geometry, but on a curved surface they can eventually converge.

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36

The Pythagorean theorem says the square of the hypotenuse equals the sum of the squares of the other sides.

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