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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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