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DS72011RB120FPV 데이터시트(PDF) 92 Page - Renesas Technology Corp |
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DS72011RB120FPV 데이터시트(HTML) 92 Page - Renesas Technology Corp |
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92 / 1196 page ![]() Section 3 Floating-Point Unit (FPU) Rev. 2.00 Sep. 07, 2007 Page 64 of 1164 REJ09B0321-0200 63 62 52 51 0 s e f Figure 3.2 Format of Double-Precision Floating-Point Number The exponent is expressed in biased form, as follows: e = E + bias The range of unbiased exponent E is E min – 1 to Emax + 1. The two values Emin – 1 and Emax + 1 are distinguished as follows. E min – 1 indicates zero (both positive and negative sign) and a denormalized number, and E max + 1 indicates positive or negative infinity or a non-number (NaN). Table 3.1 shows E min and Emax values. Table 3.1 Floating-Point Number Formats and Parameters Parameter Single-Precision Double-Precision Total bit width 32 bits 64 bits Sign bit 1 bit 1 bit Exponent field 8 bits 11 bits Fraction field 23 bits 52 bits Precision 24 bits 53 bits Bias +127 +1023 E max +127 +1023 E min –126 –1022 Floating-point number value v is determined as follows: If E = E max + 1 and f ≠ 0, v is a non-number (NaN) irrespective of sign s If E = E max + 1 and f = 0, v = (–1) s (infinity) [positive or negative infinity] If E min ≤ E ≤ Emax, v = (–1) s2E (1.f) [normalized number] If E = E min – 1 and f ≠ 0, v = (–1) s2Emin (0.f) [denormalized number] If E = E min – 1 and f = 0, v = (–1) s0 [positive or negative zero] |
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