Source-to-target rules are given, following this section, for converting data items with the following data attributes:
Changes in value can occur in converting between decimal representations and binary representation. In converting between binary and decimal, the factor 3.32 is used as follows:
A table of CEIL values is provided in Table 22 to calculate these conversions.
|
n |
CEIL (n*3.32) |
n |
CEIL (n/3.32) |
|---|---|---|---|
| 1 | 4 | 1-3 | 1 |
| 2 | 7 | 4-6 | 2 |
| 3 | 10 | 7-9 | 3 |
| 4 | 14 | 10-13 | 4 |
| 5 | 17 | 14-16 | 5 |
| 6 | 20 | 17-19 | 6 |
| 7 | 24 | 20-23 | 7 |
| 8 | 27 | 24-26 | 8 |
| 9 | 30 | 27-29 | 9 |
| 10 | 34 | 30-33 | 10 |
| 11 | 37 | 34-36 | 11 |
| 12 | 40 | 37-39 | 12 |
| 13 | 44 | 40-43 | 13 |
| 14 | 47 | 44-46 | 14 |
| 15 | 50 | 47-49 | 15 |
|
16 |
531 |
50-53 |
16 |
| 17 | 57 | 54-56 | 17 |
| 18 | 60 | 57-59 | 18 |
| 19 | 64 | 60-63 | 19 |
| 20 | 67 | 64-66 | 20 |
| 21 | 70 | 67-69 | 21 |
| 22 | 74 | 70-73 | 22 |
| 23 | 77 | 74-76 | 23 |
| 24 | 80 | 77-79 | 24 |
| 25 | 83 | 80-83 | 25 |
| 26 | 87 | 84-86 | 26 |
| 27 | 90 | 87-89 | 27 |
| 28 | 93 | 90-92 | 28 |
| 29 | 97 | 93-96 | 29 |
| 30 | 100 | 97-99 | 30 |
| 31 | 103 | 100-102 | 31 |
| 32 | 107 | 103-106 | 32 |
| 33 | 110 | 107-109 | 33 |
| 110-112 | 34 | ||
| 113-116 | 35 | ||
|
Note 1:
While ceil(16*3.32) = 54, the value 53 is used. If it
were not, a float decimal(16), when converted to binary, would have
to be converted from long floating-point to extended floating-point
(because float binary(54) is represented as extended floating-point).
|
|||
For fixed-point integer values, conversion does not change the value. For fixed-point fractional values, the factor 3.32 provides only enough digits or bits so that the converted value differs from the original value by less than 1 digit or bit in the rightmost place.
For example, the decimal constant .1, with attributes FIXED DECIMAL (1,1), converts to the binary value .0001B, converting 1/10 to 1/16. The decimal constant .10, with attributes FIXED DECIMAL (2,2), converts to the binary value .0001100B, converting 10/100 to 12/128.