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A decimal floating-point number can be encoded in several ways, the different ways represent different precisions, for example 100.0 is encoded as 1000×10 −1, while 100.00 is encoded as 10000×10 −2. The set of possible encodings of the same numerical value is called a cohort in the standard. If the result of a calculation is inexact the ...
Binary-coded decimal (BCD) is a binary encoded representation of integer values that uses a 4-bit nibble to encode decimal digits. Four binary bits can encode up to 16 distinct values; but, in BCD-encoded numbers, only ten values in each nibble are legal, and encode the decimal digits zero, through nine.
This table illustrates an example of an 8 bit signed decimal value using the two's complement method. The MSb most significant bit has a negative weight in signed integers, in this case -2 7 = -128. The other bits have positive weights. The lsb (least significant bit) has weight 1. The signed value is in this case -128+2 = -126.
2 of 5 barcode (non-interleaved) POSTNET barcode. A two-out-of-five code is a constant-weight code that provides exactly ten possible combinations of two bits, and is thus used for representing the decimal digits using five bits. [1] Each bit is assigned a weight, such that the set bits sum to the desired value, with an exception for zero.
In packed decimal representation a decimal digit is stored in one nibble. The values 10 to 15 are not used. [2] Unpacked (8 bits) In unpacked decimal representation a decimal digit is stored in one byte. The values 10 to 255 are not used. The upper nibble is ignored, and can either be zero, or the leading-nibble for the ASCII character (value 3 ...
One thing they lacked was code to handle floating-point numbers, required to support calculations with very big and very small numbers, [9] which would be particularly useful for science and engineering. [10] [11] One of the proposed uses of the Altair was as a scientific calculator. [12] Altair 8800 front panel
The data portion is encoded like Base32 with the possibility to check and correct up to 6 mistyped characters using the 6-character BCH code at the end, which also checks/corrects the Human Readable Part. The Bech32m variant has a subtle change that makes it more resilient to changes in length. [10] BinHex: Arbitrary: 75%: Perl, C, C (2) MacOS ...
The Aiken code differs from the standard 8421 BCD code in that the Aiken code does not weight the fourth digit as 8 as with the standard BCD code but with 2. Aiken code (symmetry property) Aiken code in hexadecimal coding. The following weighting is obtained for the Aiken code: 2-4-2-1. One might think that double codes are possible for a ...