{"uid":"cap_l7H1fZBd1QyV5jhi6nl8g","slug":"security-math-encoded-length-calculator-a86dfe42","name":"Security Math Encoded Length Calculator","description":"Encoded length of N bytes in hex, base64, base32, base58, base85, decimal or any base-N alphabet, and bytes per N characters.","url":"https://security-math.x402tookit.com/encoded-length?utm_source=zero.xyz","method":"GET","headers":{},"bodySchema":{"type":"object","$schema":"https://json-schema.org/draft/2020-12/schema","required":["input"],"properties":{"input":{"type":"object","required":["type","method"],"properties":{"type":{"type":"string","const":"http"},"method":{"enum":["GET"],"type":"string"},"queryParams":{"type":"object","required":["bytes"],"properties":{"bytes":{"type":"number","description":"Number of bytes to encode, 0 to 1e12 (a UUID is 16, a SHA-256 digest is 32)"},"alphabetSize":{"type":"integer","description":"Optional custom alphabet size N (2 to 256): adds the length in base-N"}}}},"additionalProperties":false},"output":{"type":"object","required":["type"],"properties":{"type":{"type":"string"},"example":{"type":"object","properties":{"asOf":{"type":["null","string"]},"bits":{"type":["null","number"]},"bytes":{"type":["null","number"]},"source":{"type":["null","string"]},"reasons":{"type":["array","null"],"items":{"type":"string"}},"summary":{"type":["null","string"]},"verdict":{"type":["null","string"]},"degraded":{"type":["boolean","null"]},"characters":{"type":["null","object"],"properties":{"hex":{"type":["null","number"]},"octal":{"type":["null","number"]},"binary":{"type":["null","number"]},"decimal":{"type":["null","number"]},"base32Padded":{"type":["null","number"]},"base64Padded":{"type":["null","number"]},"base85Ascii85":{"type":["null","number"]},"base32Unpadded":{"type":["null","number"]},"base64Unpadded":{"type":["null","number"]},"base58MaxForNonZeroLeadingByte":{"type":["null","number"]}}},"disclaimer":{"type":["null","string"]},"notChecked":{"type":["array","null"],"items":{"type":"string"}},"overheadPercentHex":{"type":["null","number"]},"bytesPer100Characters":{"type":["null","object"],"properties":{"hex":{"type":["null","number"]},"base32":{"type":["null","number"]},"base58":{"type":["null","number"]},"base64":{"type":["null","number"]},"base85":{"type":["null","number"]}}},"overheadPercentBase64":{"type":["null","number"]}}}}}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.02","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.02/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.02","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.02","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_ieGq3ZcHvSNgi9tYX7GxY","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.02","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Calculates the encoded character length of N bytes in hex, base64, base32, base58, base85, decimal, binary, octal, and optional custom base-N, plus bytes-per-100-characters ratios.","exampleAgentPrompt":"How many characters will a 32-byte SHA-256 digest produce when encoded in hex, base64, base58, and base85? Also show the encoding overhead percentages.","exampleUseCases":[{"title":"Token storage field sizing","prompt":"I'm designing a database schema and need to know how many characters a 16-byte UUID will take when stored as hex, base64 (padded and unpadded), and base58 — so I can pick the right column length."},{"title":"API payload size estimation","prompt":"If I have 1000 bytes of binary data, how many characters will it take in base64 versus base85, and what's the overhead percentage for each compared to raw bytes?"},{"title":"Custom base-N encoding length","prompt":"How many characters will a 32-byte value produce in a base-62 encoding? Use alphabetSize 62 and bytes 32."}],"resultDescription":"Returns a JSON object with the number of characters produced by encoding the given byte count in hex, binary, octal, decimal, base32 (padded and unpadded), base64 (padded and unpadded), base85, and base58, plus bytes-per-100-characters ratios for major encodings, overhead percentages relative to hex and base64, and optionally a custom base-N length if alphabetSize was provided.","failureModes":["Missing required 'bytes' query parameter returns an error","bytes value out of range (negative or above 1e12) returns a validation error","alphabetSize outside 2–256 returns a validation error","Non-numeric bytes value causes a schema validation failure","Payment not included or insufficient results in HTTP 402"],"whenToPreferThis":"Choose this endpoint when you need to precisely calculate how many characters a given number of bytes will occupy across multiple standard encoding schemes (hex, base64, base58, base85, base32, etc.) or a custom base-N alphabet, especially when comparing encoding overhead or planning storage/field sizes in security-sensitive contexts.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-21T12:30:09.343Z","isFirstParty":false,"canonicalSlug":"security-math-encoded-length-calculator-a86dfe42"}