Free Online Scientific Calculator with Degrees Minutes Seconds

This free online scientific calculator converts between decimal degrees and degrees-minutes-seconds (DMS) formats. Perfect for navigation, astronomy, and geographic coordinate conversions.

How to Use This Calculator

To convert between decimal degrees and degrees-minutes-seconds (DMS):

Select the conversion direction (Decimal to DMS or DMS to Decimal)
Enter your coordinate value in the appropriate field
Click "Calculate" to see the converted result
Use the "Reset" button to clear all fields

The calculator handles both latitude and longitude coordinates, with proper sign conventions for northern/southern and eastern/western hemispheres.

Conversion Formulas

Decimal to DMS Conversion

Degrees = Integer part of decimal value

Minutes = (Decimal part × 60) integer part

Seconds = (Decimal part × 60) fractional part × 60

DMS to Decimal Conversion

Decimal = Degrees + (Minutes ÷ 60) + (Seconds ÷ 3600)

These formulas ensure precise conversions between the two coordinate formats. The calculator applies these formulas automatically when you click "Calculate".

Common Uses for Degrees-Minutes-Seconds

The DMS format is commonly used in:

GPS navigation systems
Cartography and surveying
Astronomical observations
Marine and aviation navigation
Geographic coordinate systems

While decimal degrees are more common in digital systems, DMS remains important for traditional navigation and mapping applications.

Frequently Asked Questions

What is the difference between decimal degrees and DMS?

Decimal degrees represent coordinates as a single decimal number (e.g., 40.7128°). DMS (Degrees-Minutes-Seconds) breaks this into degrees, minutes, and seconds (e.g., 40°42'46"). DMS is often used in traditional navigation and mapping.

How do I convert negative coordinates to DMS?

Negative coordinates (for southern latitudes or western longitudes) are converted the same way as positive coordinates, but the negative sign is preserved in the final DMS result. For example, -40.7128° becomes 40°42'46" S.

Is this calculator accurate for all coordinate values?

Yes, this calculator uses precise mathematical formulas to ensure accurate conversions between decimal degrees and DMS for all valid coordinate values.