Converters · 6 minute read

Celsius to Fahrenheit Conversion Chart and Formulas

Use exact Celsius, Fahrenheit, and Kelvin formulas with reference temperatures and absolute-zero checks.

Temperature conversion requires both scaling and an offset. Multiplying alone is not enough when converting Celsius and Fahrenheit.

Conversion formulas

  • Fahrenheit = Celsius × 9 ÷ 5 + 32
  • Celsius = (Fahrenheit − 32) × 5 ÷ 9
  • Kelvin = Celsius + 273.15
  • Celsius = Kelvin − 273.15

Quick reference points

CelsiusFahrenheitKelvin
−40−40233.15
032273.15
2068293.15
3798.6310.15
100212373.15

Why −40 is special

Celsius and Fahrenheit use different scale sizes and zero points, but their lines intersect at −40. Therefore −40°C equals −40°F.

Absolute zero

Zero kelvin equals −273.15°C. A physical thermodynamic temperature below zero kelvin is rejected by the converter.

Rounding

Keep extra decimals during the calculation and round only the final result. Weather values often need no more than one decimal, while scientific work may require uncertainty analysis and calibrated measurements.

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