About: Normal number (computing)

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In computing, a normal number is a non-zero number in a floating-point representation which is within the balanced range supported by a given floating-point format: it is a floating point number that can be represented without leading zeros in its significand. The magnitude of the smallest normal number in a format is given by bemin, where b is the base (radix) of the format (usually 2 or 10) and emin depends on the size and layout of the format. Similarly, the magnitude of the largest normal number in a format is given by bemax × (b − b1−p),

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  • In computing, a normal number is a non-zero number in a floating-point representation which is within the balanced range supported by a given floating-point format: it is a floating point number that can be represented without leading zeros in its significand. The magnitude of the smallest normal number in a format is given by bemin, where b is the base (radix) of the format (usually 2 or 10) and emin depends on the size and layout of the format. Similarly, the magnitude of the largest normal number in a format is given by bemax × (b − b1−p), where p is the precision of the format in digits and emax is (−emin)+1. In the IEEE 754 binary and decimal formats, b, p, emin, and emax have the following values: For example, in the smallest decimal format, the range of positive normal numbers is 10−95 through 9.999999 × 1096. Non-zero numbers smaller in magnitude than the smallest normal number are called subnormal (or denormal) numbers. Zero is neither normal nor subnormal. (en)
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  • In computing, a normal number is a non-zero number in a floating-point representation which is within the balanced range supported by a given floating-point format: it is a floating point number that can be represented without leading zeros in its significand. The magnitude of the smallest normal number in a format is given by bemin, where b is the base (radix) of the format (usually 2 or 10) and emin depends on the size and layout of the format. Similarly, the magnitude of the largest normal number in a format is given by bemax × (b − b1−p), (en)
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  • Normal number (computing) (en)
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