Convert Celsius to Fahrenheit – Temperature Converter
This converter transforms a single temperature value in degrees Celsius (°C) into degrees Fahrenheit (°F) using the fixed mathematical relationship between the two scales. It is intended for quick calculations, educational purposes, lab notes, field measurements, and safety checks.
For measurement and safety applications, be mindful that the numerical conversion is exact for arithmetic values but real-world temperature readings may include sensor error, calibration offsets, and uncertainty. Consult calibration and traceability guidance when using converted values for compliance, health and safety, or instrumentation.
Governance
Record 9b392a2e513b • Reviewed by Fidamen Standards Committee
Interactive Converter
Convert between celsius and fahrenheit with precision rounding.
Quick reference table
| Celsius | Fahrenheit |
|---|---|
| 1 °C | 33.8 °F |
| 5 °C | 41 °F |
| 10 °C | 50 °F |
| 25 °C | 77 °F |
| 50 °C | 122 °F |
| 100 °C | 212 °F |
Methodology
The conversion uses the internationally recognized linear relationship between the Celsius and Fahrenheit scales. The formula F = C × 9/5 + 32 converts Celsius to Fahrenheit; the inverse is C = (F − 32) × 5/9.
When applied to measurement results, conversion is independent of the measurement instrument. However, good practice requires that the original temperature measurement be traceable to standards (for example NIST-traceable calibration) and that uncertainty be reported per ISO guidance. For occupational health thresholds and heat-stress limits, follow relevant regulatory guidance such as published OSHA recommendations.
Worked examples
0 °C → (0 × 9/5) + 32 = 32 °F
100 °C → (100 × 9/5) + 32 = 212 °F
-40 °C → (-40 × 9/5) + 32 = -40 °F (the two scales coincide at -40)
Absolute zero: -273.15 °C → (-273.15 × 9/5) + 32 = -459.67 °F
F.A.Q.
Is the conversion exact?
The mathematical conversion using F = C × 9/5 + 32 is exact for numerical values. Real-world temperature measurements include instrument error and uncertainty; converted reported values inherit that uncertainty. For metrology or regulatory work, include measurement uncertainty and calibration status per relevant standards.
How many decimal places should I use?
Choose decimal places based on the precision of your original measurement. Do not imply greater precision than your instrument provides. For many general uses, one decimal place is sufficient; for lab or engineering work, follow your instrument's specification and report uncertainty per ISO 17025 guidance.
Why does the formula use 9/5 and 32?
The factor 9/5 arises from the ratio of the size of the Fahrenheit degree to the Celsius degree; adding 32 accounts for the different zero points of the two scales. This relationship is fixed and derived from the definitions of the scales.
Are there regulatory considerations for converted temperatures?
Yes. When converted temperatures are used for safety limits, compliance, or health assessments, ensure that measurement instruments are calibrated and traceable to standards such as those published by NIST and that you follow applicable workplace or industry regulations (for example OSHA heat guidelines).
What about sensor calibration and traceability?
Calibration establishes a link between an instrument's readings and reference standards. For authoritative measurement, ensure sensors are calibrated at appropriate intervals, document traceability (for example to NIST), and include calibration uncertainty in any reported converted value.
Sources & citations
- NIST — SI Units: Temperature — https://www.nist.gov/pml/weights-and-measures/si-units-temperature
- ISO 80000-5 — Quantities and units: Thermodynamics (temperature) — https://www.iso.org/standard/54562.html
- IEEE — Sensor and instrumentation standards (examples include IEEE sensor family standards) — https://standards.ieee.org
- OSHA — Heat Exposure and Heat Illness Prevention — https://www.osha.gov/heat
- NIST SP 330 — The International System of Units (SI) — https://www.nist.gov/pml/special-publication-330
- BIPM SI Brochure (9th edition, 2019) — https://www.bipm.org/en/publications/si-brochure
Further resources
Versioning & Change Control
Audit record (versions, QA runs, reviewer sign-off, and evidence).
Record ID: 9b392a2e513bWhat changed (latest)
v1.0.0 • 2025-11-11 • MINOR
Initial publication and governance baseline.
Why: Published with reviewed formulas, unit definitions, and UX controls.
Public QA status
PASS — golden 25 + edge 120
Last run: 2026-01-23 • Run: golden-edge-2026-01-23
Versioning & Change Control
Audit record (versions, QA runs, reviewer sign-off, and evidence).
What changed (latest)
v1.0.0 • 2025-11-11 • MINOR
Initial publication and governance baseline.
Why: Published with reviewed formulas, unit definitions, and UX controls.
Public QA status
PASS — golden 25 + edge 120
Last run: 2026-01-23 • Run: golden-edge-2026-01-23
Engine
v1.0.0
Data
Baseline (no external datasets)
Content
v1.0.0
UI
v1.0.0
Governance
Last updated: Nov 11, 2025
Reviewed by: Fidamen Standards Committee (Review board)
Credentials: Internal QA
Risk level: low
Reviewer profile (entity)
Fidamen Standards Committee
Review board
Internal QA
Entity ID: https://fidamen.com/reviewers/fidamen-standards-committee#person
Semantic versioning
- MAJOR: Calculation outputs can change for the same inputs (formula, rounding policy, assumptions).
- MINOR: New features or fields that do not change existing outputs for the same inputs.
- PATCH: Bug fixes, copy edits, or accessibility changes that do not change intended outputs except for previously incorrect cases.
Review protocol
- Verify formulas and unit definitions against primary standards or datasets.
- Run golden-case regression suite and edge-case suite.
- Record reviewer sign-off with credentials and scope.
- Document assumptions, limitations, and jurisdiction applicability.
Assumptions & limitations
- Uses exact unit definitions from the Fidamen conversion library.
- Internal calculations use double precision; display rounding follows the unit's configured decimal places.
- Not a substitute for calibrated instruments in regulated contexts.
- Jurisdiction-specific rules may require official guidance.
Change log
v1.0.0 • 2025-11-11 • MINOR
Initial publication and governance baseline.
Why: Published with reviewed formulas, unit definitions, and UX controls.
Areas: engine, content, ui • Reviewer: Fidamen Standards Committee • Entry ID: 0e43426e55e6
