Convert arbitrary-precision integers across Binary
Convert arbitrary-precision integers across Binary, Octal, Decimal, Hex, Base36, Base58, Base62, and Roman Numerals
Request
- x-api-key: <your-api-key>
- Content-Type: application/json
Response
{
"result": {
"conversions": {
"base36": "<base36>",
"base58": "<base58>",
"base62": "<base62>",
"binary": "<binary>",
"decimal": "<decimal>",
"hex": "#7C4DFF",
"octal": "<octal>",
"roman": "<roman>"
},
"output": "<output>"
},
"sourceSystem": "castomapi",
"stats": {
"bitLength": 16,
"byteLength": 16,
"isEven": true,
"isZero": true
},
"status": "success",
"targetSystem": "<target system>",
"tokensDeducted": 1
}What it does
Convert arbitrary-precision integers across Binary, Octal, Decimal, Hex, Base36, Base58, Base62, and Roman Numerals
Request
Body
| Field | Type | Required | Description |
|---|---|---|---|
from | enum | no | Source numeral system. "auto" will infer system based on formatting. One of: auto, binary, octal, decimal, hex, base36, base58, base62…. |
number | string | number | yes | The number or numeral string to convert (e.g. "2026", "0x7ea", "MMXXVI", "11111101010"). |
to | enum | no | Target numeral system or "all" for a complete matrix breakdown. One of: all, binary, octal, decimal, hex, base36, base58, base62…. |
Example request
{
"from": "auto",
"number": "2026",
"to": "all"
}Response
| Field | Type | Description |
|---|---|---|
result | object | |
↳ conversions | object | |
↳ output | string | |
sourceSystem | string | |
stats | object | |
↳ bitLength | integer | |
↳ byteLength | integer | |
↳ isEven | boolean | |
↳ isZero | boolean | |
status | string | |
targetSystem | string | |
tokensDeducted | integer |
Example response
{
"result": {
"conversions": {
"base36": "<base36>",
"base58": "<base58>",
"base62": "<base62>",
"binary": "<binary>",
"decimal": "<decimal>",
"hex": "#7C4DFF",
"octal": "<octal>",
"roman": "<roman>"
},
"output": "<output>"
},
"sourceSystem": "castomapi",
"stats": {
"bitLength": 16,
"byteLength": 16,
"isEven": true,
"isZero": true
},
"status": "success",
"targetSystem": "<target system>",
"tokensDeducted": 1
}Errors
Every error answers with the same envelope: an HTTP status, a machine code and a sentence.
400 | The body or a parameter failed validation. The details array names the field. |
401 | No key, a revoked key or a wrong header. Send x-api-key. |
402 | The wallet cannot cover this call. Top up or wait for the monthly grant. |
404 | The resource does not exist, or it is not yours. Both answer identically and cost nothing. |
429 | Over the per-minute quota of your tier. Back off and retry. |
5xx | Upstream refused or timed out. The call is not billed. |
Code
curl -X POST 'https://app.castomapi.com/v1/convert/numerals' \
-H 'x-api-key: <your-api-key>' \
-H 'Content-Type: application/json' \
-d '{"from": "auto", "number": "2026", "to": "all"}'const res = await fetch('https://app.castomapi.com/v1/convert/numerals', {
method: 'POST',
headers: { 'x-api-key': '<your-api-key>', 'Content-Type': 'application/json' },
body: JSON.stringify({"from": "auto", "number": "2026", "to": "all"})
});
const data = await res.json();
console.log(data);import { request } from 'node:https';
// Node 18+ has fetch built in
const res = await fetch('https://app.castomapi.com/v1/convert/numerals', {
method: 'POST',
headers: { 'x-api-key': '<your-api-key>', 'Content-Type': 'application/json' },
body: JSON.stringify({"from": "auto", "number": "2026", "to": "all"})
});
const data = await res.json();
console.log(data);import requests
res = requests.post(
'https://app.castomapi.com/v1/convert/numerals',
headers={'x-api-key': '<your-api-key>'},
json={"from": "auto", "number": "2026", "to": "all"},
timeout=30,
)
print(res.json())<?php
$ch = curl_init('https://app.castomapi.com/v1/convert/numerals');
curl_setopt_array($ch, [
CURLOPT_CUSTOMREQUEST => 'POST',
CURLOPT_RETURNTRANSFER => true,
CURLOPT_HTTPHEADER => ['x-api-key: <your-api-key>', 'Content-Type: application/json'],
CURLOPT_POSTFIELDS => json_encode(['from' => 'auto', 'number' => '2026', 'to' => 'all']),
]);
$data = json_decode(curl_exec($ch), true);
print_r($data);Cost and limits
This operation needs no API key and costs nothing: called without a key it answers 200 and deducts zero tokens, up to 10 requests a minute per IP address.
Rate limits per minute
| No key | 10 |
| Free | 60 |
| Pro | 300 |
| Enterprise | 1200 |
Questions
What does Convert arbitrary-precision integers across Binary cost?
This operation needs no API key and costs nothing: called without a key it answers 200 and deducts zero tokens, up to 10 requests a minute per IP address.
How do I authenticate?
Send your key in the x-api-key header. One key covers every metered endpoint; there is nothing to enable per endpoint.
Can I send an Authorization: Bearer token instead?
Not for a metered endpoint — those take the x-api-key header and nothing else. Bearer tokens belong to the account side: the dashboard and account APIs accept a JWT session, and castomapi-auth issues those through a standard OAuth2 handshake, with authorization code, client credentials and refresh grants. The auth service page covers it.
What are the limits?
10 requests a minute per IP with no key at all, 60 a minute on the free tier, 300 on Pro, 1200 on Enterprise. Above the no-key tier the quota is per account, across every endpoint.
OpenAPI: https://app.castomapi.com/docs/json