Verified calculation capability

dBm to Watts Calculation Capability

Convert dBm ↔ watts / milliwatts using log power ratios. · Units · Rf

Capability ID units.rf.dbm_watts · version 1.3.1

Open calculator REST API MCP Evidence Evidence JSON CVP Manifest Review policy

Model

dBm → W

dBm → W: W = 10^((dBm − 30)/10)
W → dBm: dBm = 10·log10(W) + 30
dBm → mW: mW = 10^(dBm/10)
mW → dBm: dBm = 10·log10(mW)

Solve modes: dbm-w · w-dbm · dbm-mw · mw-dbm

Inputs / Outputs

Canonical symbols for this capability. Agent schemas remain the contract.

Symbol	Quantity	Unit	Role
`value`	—	—	input
`formula`	—	—	output
`api_version`	—	—	output
`api_contract_version`	—	—	output
`spec_version`	—	—	output
`page`	Canonical calculator page URL	—	output
`links`	—	—	output

Assumptions / Validity

Declared scope for this capability. Do not use it outside this domain.

Assumptions

Log power vs 1 mW (dBm), not 1 W (dBW)

Example

One numerical check. The calculator page holds worked steps and FAQ.

30 dBm → 1 W; 0 dBm → 1 mW; −30 dBm → 1 µW

Open this example in the calculator

Trust

CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance. Computational verification is defined by CVP. Supplemental domain review (internal) and named expert review are defined by the Review policy and do not by themselves determine CVP conformance.

CVP: CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance· View Manifest · CVP overview · Specification
Assurance: Engineering
Declared partition coverage: PASS · 5/5 declared partitions (dbm-w, w-dbm, dbm-mw, mw-dbm, invalid-domain)
Calculation version: 1.3.1
Verification: 22/22 calculation tests · 9/9 legacy golden · 7/7 legacy boundary · 6/6 legacy property
Production surface contract: 4/4
Versions: Calculation 1.3.1 · CVP protocol 1.0.0-proposed · Evidence 2026-09-13.overflow-ssr-rollout
Verification revision: 2026-09-13.overflow-ssr-rollout · 2/2 property · digest 250f2cc95400
Reference: O1 model · O2 expected_values · O2 numerical_behavior
Interfaces: PASS · UI (SSR) / REST / MCP
ui-ssr is query-result HTML, not a live browser session. Error-path engine·REST·MCP 5/5 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only. Public share URLs use UI alias `a` plus `mode`. Canonical Agent/API field is `value`; mode defaults to dbm-w.
CVP suite: 6/6 golden · 8/8 CVP boundary · 14/14 invalid · 2/2 property · 4/4 metamorphic · 4/4 round-trip · 10/10 cross-interface · 4/4 CVP contract
Supplemental domain review: Internal · Pass · electrical-engineer
Named expert review: Not performed
Version lock: Supported (409 VERSION_MISMATCH)
Artifact consistency: Build verified · 1.3.1 (workspace artifacts agree)
Review-policy tier: Internally reviewed — catalog token internally_reviewed; supplemental; not CVP status

This calculator CURRENT · Public schema 1.3.1 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓

Call this capability

Human page, REST, and MCP share the same engine and calculation_version. Build verified hashes workspace artifacts only. After deploy, attest:production GETs canonical URLs twice — the public/cached view an Agent actually hits, and origin — including every /capabilities/{id} HTML page. Public Capability HTML version must match catalog before production attestation passes. Live Trust rows above fetch /.well-known/calculatorx-production-attestation.json and the output schema const. Build hashes: release integrity. That proves currently published page / engine / schema / evidence / MCP agree — not that a historical version is independently immutable. Reference Calculation Standard — Production surface contract 4/4.

Tool id: dbm-watt
Engine: dbm-watt
REST: POST /api/v1/calc/dbm-watt
MCP: execute_calculation with capability_id: "units.rf.dbm_watts"
Agent input schema: Canonical (MCP / Agent)
Output schema: JSON Schema (latest)
Versioned input schema: Immutable pin (1.3.1)
Versioned output schema: Immutable pin (1.3.1)

Operations

Declared calculation modes for this capability.

dbm-w
w-dbm
dbm-mw
mw-dbm

References

Human-readable sources plus CVP reference evidence classes.

Sources

NIST Technical Note 1850 — Appendix B — dBm ↔ milliwatt
ITU / RF practice — dBm — 0 dBm = 1 mW

Reference evidence classes: O1 model · O2 expected_values · O2 numerical_behavior

Try with an agent

Inspect this capability via same-origin MCP, then call execute_calculation.

curl -sS -X POST 'https://www.calculatorx.com/mcp' \
  -H 'Content-Type: application/json' \
  -H 'MCP-Protocol-Version: 2026-07-28' \
  -H 'Mcp-Method: tools/call' \
  -H 'Mcp-Name: inspect_capability' \
  -d '{"jsonrpc":"2.0","id":1,"method":"tools/call","params":{"name":"inspect_capability","arguments":{"capability_id":"units.rf.dbm_watts"}}}'

Inspect the trust tier and required assurance level before execution. Pin calculation_version (1.3.1) when reproducibility matters. Full protocol notes: MCP docs.