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The format of an n-bit posit is given a label of "posit" followed by the decimal digits of n (e.g., the 16-bit posit format is "posit16") and consists of four sequential fields: sign: 1 bit, representing an unsigned integer s; regime: at least 2 bits and up to (n − 1), representing an unsigned integer r as described below
For example, a two's complement signed 16-bit integer can hold the values −32768 to 32767 inclusively, while an unsigned 16 bit integer can hold the values 0 to 65535. For this sign representation method, the leftmost bit ( most significant bit ) denotes whether the value is negative (0 for positive or zero, 1 for negative).
To encode an unsigned number using unsigned LEB128 (ULEB128) first represent the number in binary.Then zero extend the number up to a multiple of 7 bits (such that if the number is non-zero, the most significant 7 bits are not all 0).
The precision is a positive integer that determines the number of significant digits in a particular radix (binary or decimal). The scale is a non-negative integer. A scale of 0 indicates that the number is an integer. For a decimal number with scale S, the exact numeric value is the integer value of the significant digits divided by 10 S.
This can also be thought of as the most significant bit representing the inverse of its value in an unsigned integer; in an 8-bit unsigned byte, the most significant bit represents the 128ths place, where in two's complement that bit would represent −128. In two's-complement, there is only one zero, represented as 00000000.
Indirect load value of type unsigned int32 as int32 on the stack. Base instruction 0x4C ldind.u8: Indirect load value of type unsigned int64 as int64 on the stack (alias for ldind.i8). Base instruction 0x8E ldlen: Push the length (of type native unsigned int) of array on the stack. Object model instruction 0xFE 0x0C ldloc <uint16 (indx)>
The m and the dot may be omitted, in which case they are inferred from the size of the variable or register where the value is stored. Thus, Q12 means a signed integer with any number of bits, that is implicitly multiplied by 2 −12. The letter U can be prefixed to the Q to denote an unsigned binary fixed-point format.
The exponent field is an 8-bit unsigned integer from 0 to 255, in biased form: a value of 127 represents the actual exponent zero. Exponents range from −126 to +127 (thus 1 to 254 in the exponent field), because the biased exponent values 0 (all 0s) and 255 (all 1s) are reserved for special numbers ( subnormal numbers , signed zeros ...