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A commonly used abbreviation is: 0 < x < 1 That means that "x" can be between these values. This is actually a shortcut for the combination: 0 < x AND x < 1. If you want to include the extremes, 0 and 1, replace the less-than symbol with the less-than-or-equal-to symbol.
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The only numbers used in binary are 0 and 1
You would need infinitely many digits to write all numbers. However, to write all whole number (integers) you would need 4243.