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In computing, half precision (sometimes called FP16 or float16) is a binary floating-point computer number format that occupies 16 bits (two bytes in modern computers) in computer memory. It is intended for storage of floating-point values in applications where higher precision is not essential, in particular image processing and neural networks .
It is just a representation of AND which does its work on the bits of the operands rather than the truth value of the operands. Bitwise binary AND performs logical conjunction (shown in the table above) of the bits in each position of a number in its binary form. For instance, working with a byte (the char type):
Convert unsigned to an unsigned int64 (on the stack as int64) and throw an exception on overflow. Base instruction 0x76 conv.r.un: Convert unsigned integer to floating-point, pushing F on stack. Base instruction 0x6B conv.r4: Convert to float32, pushing F on stack. Base instruction 0x6C conv.r8: Convert to float64, pushing F on stack. Base ...
These examples are given in bit representation, in hexadecimal and binary, of the floating-point value. This includes the sign, (biased) exponent, and significand. This includes the sign, (biased) exponent, and significand.
Given the hexadecimal representation 3FD5 5555 5555 5555 16, Sign = 0 Exponent = 3FD 16 = 1021 Exponent Bias = 1023 (constant value; see above) Fraction = 5 5555 5555 5555 16 Value = 2 (Exponent − Exponent Bias) × 1.Fraction – Note that Fraction must not be converted to decimal here = 2 −2 × (15 5555 5555 5555 16 × 2 −52) = 2 −54 ...
A bitwise AND is a binary operation that takes two equal-length binary representations and performs the logical AND operation on each pair of the corresponding bits. Thus, if both bits in the compared position are 1, the bit in the resulting binary representation is 1 (1 × 1 = 1); otherwise, the result is 0 (1 × 0 = 0 and 0 × 0 = 0).
The address bytes are arranged in big-endian format. Data - a sequence of 2n hex digits, for n bytes of the data. For S1/S2/S3 records, a maximum of 32 bytes per record is typical since it will fit on an 80 character wide terminal screen, though 16 bytes would be easier to visually decode each byte at a specific address.
A hex editor or viewer may be used to view file data as a sequence of hexadecimal (or decimal, binary or ASCII character) values for corresponding bytes of a binary file. [ 2 ] If a binary file is opened in a text editor , each group of eight bits will typically be translated as a single character, and the user will see a (probably ...