324_Book

# 324_Book

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Unformatted text preview: rﬂow in which possible numeric values are spaced evenly near 0.0. Special Values A ﬁnal category of values occurs when the exponent ﬁeld is all 1s. When the fraction ﬁeld is all 0s, the resulting values represent inﬁnity, either ·½ when × ¼, or ½ when × ½. Inﬁnity can represent results that overﬂow, as when we multiply two very large numbers, or when we divide by zero. When the fraction ﬁeld is nonzero, the resulting value is called a “Æ Æ ,” short for “Not a Number.” Such values are returned as Ô result of an operation where the result cannot be given as a real number or as inﬁnity, as when the computing ½ or ½ ½. They can also be useful in some applications for representing uninitialized data. 2.4. FLOATING POINT A. Complete Range 71 ∞ 10 5 Denormalized 0 Normalized +5 Infinity +10 +∞ B. Values between ½ ¼ and ·½ ¼. 0 1 0.8 0.6 0.4 0.2 Denormalized 0 +0 +0.2 Infinity +0.4 +0.6 +0.8 +1 Normalized Figure 2.22: Representable Values for 6-Bit Floating-Point Format. There are Ò ¾ signiﬁcand bits. The bias is 3. ¿ exponent bits and 2.4.3 Example Numbers Figure 2.22 shows...
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## This note was uploaded on 09/02/2010 for the course ELECTRICAL 360 taught by Professor Schultz during the Spring '10 term at BYU.

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