Texas Instruments TMS34010 User Manual

Appendix 0
D.1 Single-Precision Floating-Point Format
0-2
The single-precision floating-point format supported by the TMS34010 C
floating-point RTS is a 32-bit format: a sign bit, an 8-bit biased exponent, and
a
23-bit mantissa. The three component fields are positioned in the 32-bit
field format as follows:
3130 2322
o
lsi EXP I
MANTISSA
MSB
LSB
Figure 0-1. Single-Precision Floating Point Format
Hence, the sign is in bit 31 of the 32-bit field, the exponent resides in bits 23
through
30, and the mantissa in bits 0 through 22.
Given a sign
bit s, an exponent e, and a mantissa f, then the value V of the
floating point number X=(s,e,f) is as follows:
•
If s = 0, e = 255, and f = 0, then V = +infinity
• If s = 1, e = 255, and f = 0, then V = -infinity
• If 0 < e < 255 and f '" 0, then V = (_1)s*2
e
-
127
(.f)
( V
= Not Valid if the number X=(s,e,f) is not a normalized floating point
number. See Floating Point Arithmetic, Rounding, and Normalization,
page D-4.)
• If s = 0, e = 0, and f = 0, then V = 0
•
For all other cases, V = Not Valid
Precision in the single-precision format is greater than six decimal digits and
the range
includes the following:
• 5.87747 x 10-
39
to 1.70141 x 10
38
(positive range)
(5.87747 E-39
to 1.70141 E38, in C format)
• -1.70141 * 10
38
to -5.87747 * 10-
39
(negative range)
(-1.70141 E38
to -5.87747 E-39, in C format)
• 0 (zero)
• + /- infinity

Texas Instruments TMS34010 Specifications

General

Brand	Texas Instruments
Model	TMS34010
Category	Computer Hardware
Language	English