<<O>>  Difference Topic BoundaryNumber (r1.2 - 22 Nov 2003 - KirkStrauser)
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META TOPICPARENT TwoBillion
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META TOPICPARENT TwoBillion

A boundary number is a point at which a computer program either reaches the limits of its capabilities, or starts behaving strangely. For example, the YearTwoThousand? was a boundary number. The most common boundary numbers are PowersOfTwo?. This is because computers use BinaryArithmetic?, and therefore tend to allocate storage and set other limits at those sizes.

Examples:

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15 ThirtyTwoThousand?
16 SixtyFourThousand?
24 SixteenMillion?
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31 TwoBillion
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31 TwoBillion

32 FourBillion?
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<		 Note that most of these exponents are, themselves, either powers of two (UnsignedNumbers) or a power of two minus one (SignedNumbers).
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>		 Note that most of these exponents are, themselves, either powers of two (UnsignedNumbers) or a power of two minus one (SignedNumbers).

-- KirkStrauser - 20 Mar 2003

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META TOPICMOVED KirkStrauser? date="1069521867" from="Main.BoundaryNumber" to="Computing.BoundaryNumber"
 <<O>>  Difference Topic BoundaryNumber (r1.1 - 20 Mar 2003 - KirkStrauser)
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META TOPICPARENT TwoBillion
A boundary number is a point at which a computer program either reaches the limits of its capabilities, or starts behaving strangely. For example, the YearTwoThousand? was a boundary number. The most common boundary numbers are PowersOfTwo?. This is because computers use BinaryArithmetic?, and therefore tend to allocate storage and set other limits at those sizes.

Examples:

PowerOfTwo? Number
7 OneHundredTwentySeven?
8 TwoHundredFiftySix?
15 ThirtyTwoThousand?
16 SixtyFourThousand?
24 SixteenMillion?
31 TwoBillion
32 FourBillion?

Note that most of these exponents are, themselves, either powers of two (UnsignedNumbers) or a power of two minus one (SignedNumbers).

-- KirkStrauser - 20 Mar 2003

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Revision r1.1 - 20 Mar 2003 - 17:22 - KirkStrauser
Revision r1.2 - 22 Nov 2003 - 17:11 - KirkStrauser