Description
Compose code=lowerCode+8*upperCode from integer trigram codes zero through seven.
These tools represent a six-line figure as six binary values ordered from bottom to top, with yin represented by zero and yang by one. Three adjacent lines form a trigram. Binary encoding, line reversal, and changing selected lines are separate operations under this explicit representation.
Compose code=lowerCode+8*upperCode from integer trigram codes zero through seven.
When to use this tool
Use Yijing Upper and Lower Trigram Composer when you need a reproducible binary line transformation with an inspectable output figure.
How to use the tool and how it works
- Enter lowerCode, upperCode. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read result. Expand result to inspect the returned fields.
Compose code=lowerCode+8*upperCode from integer trigram codes zero through seven. Decode six bits with the bottom line first and return code and lines inside result.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| lowerCode | Integer binary trigram identity from zero through seven. | Required. Safe integer. |
| upperCode | Integer binary trigram identity from zero through seven. | Required. Safe integer. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| result | Result | Required. Object. |
{
"input": {
"lowerCode": 1,
"upperCode": 2
},
"output": {
"result": {
"code": 17,
"lines": [
1,
0,
0,
0,
1,
0
]
}
}
}Limitations and assumptions
- These are binary identities with the bottom line as the least significant bit, not King Wen sequence numbers or names. The tool does not cast lines or provide a divinatory interpretation.
- Outputs are nested inside result. The field tables state structural bounds; the mechanics also specify cross-field constraints. Malformed inputs and unsupported domains cause errors. A successful false flag, empty branch value, or zero placeholder has the meaning stated above and is distinct from an input error.
Alternative or Complementary methods
Keep one explicit line-order and binary convention throughout. Use a separate attributed text or scholarly source when the task requires a figure name or interpretation.
References
Similar or alternative tools
- Yijing Hexagram Trigram Splitter
Split six bottom-to-top binary lines into lower and upper three-bit trigram codes.
- Yijing Hexagram Binary Encoder and Decoder
Encode six bottom-to-top binary lines as the sum of line[j]*2^j.