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The exponents 000 16 and 7ff 16 have a special meaning: 00000000000 2 =000 16 is used to represent a signed zero (if F = 0) and subnormal numbers (if F ≠ 0); and; 11111111111 2 =7ff 16 is used to represent ∞ (if F = 0) and NaNs (if F ≠ 0), where F is the fractional part of the significand. All bit patterns are valid encoding.
The advantage over 8-bit or 16-bit integers is that the increased dynamic range allows for more detail to be preserved in highlights and shadows for images, and avoids gamma correction. The advantage over 32-bit single-precision floating point is that it requires half the storage and bandwidth (at the expense of precision and range). [5]
The existing 64- and 128-bit formats follow this rule, but the 16- and 32-bit formats have more exponent bits (5 and 8 respectively) than this formula would provide (3 and 7 respectively). As with IEEE 754-1985, the biased-exponent field is filled with all 1 bits to indicate either infinity (trailing significand field = 0) or a NaN (trailing ...
[15] [16] [17] [19] As an 8-bit exponent was not wide enough for some operations desired for double-precision numbers, e.g. to store the product of two 32-bit numbers, [20] both Kahan's proposal and a counter-proposal by DEC therefore used 11 bits, like the time-tested 60-bit floating-point format of the CDC 6600 from 1965.
The Motorola 6888x math coprocessors and the Motorola 68040 and 68060 processors also support a 64-bit significand extended-precision format (similar to the Intel format, although padded to a 96-bit format with 16 unused bits inserted between the exponent and significand fields, and values with exponent zero and bit 63 one are normalized values ...
Once you complete the steps, you can determine whether the device runs the 32-bit version of Windows 10 on a 64-bit processor. However, if it reads "32-bit operating system, x86-based processor ...
32 vector registers of 16 x 8-bit, 8 x 16-bit, 4 x 32-bit, and 2 x 64 bit vector elements; Efficient vector parallel arithmetic operations on integer, fixed-point and floating-point data; Operations on absolute value operands; Rounding and saturation options available; Full precision multiply and multiply-add
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