Degrees, Minutes, and Seconds Calculator
Use this tool to convert coordinate values between decimal degrees and DMS (degrees, minutes, seconds), or normalize DMS values when minutes/seconds overflow.
1) Decimal Degrees → DMS
2) DMS → Decimal Degrees
3) Normalize DMS
Helpful when values exceed normal limits (for example: 10° 75′ 90″).
What Is a Degrees Minutes and Seconds Calculator?
A degrees minutes and seconds calculator helps you convert angles and map coordinates between two common formats:
- Decimal Degrees (DD) — such as -73.985656
- Degrees Minutes Seconds (DMS) — such as 73° 59′ 8.36″ W
If you work with GPS, GIS software, surveying tools, aviation charts, astronomy data, or engineering drawings, accurate conversion between DD and DMS is essential. This page gives you a practical converter plus a clear explanation of how it works.
Quick Refresher: DMS Format
DMS splits one angle into three parts:
- Degrees (°) — the whole-number part
- Minutes (′) — 1 degree = 60 minutes
- Seconds (″) — 1 minute = 60 seconds
So, a coordinate like 40° 44′ 55.5″ means:
- 40 full degrees
- plus 44/60 of a degree
- plus 55.5/3600 of a degree
How to Use the Calculator
Convert Decimal Degrees to DMS
Enter a signed decimal value (for example, -122.4194), choose whether it represents a signed angle, latitude, or longitude, then click Convert to DMS. The tool automatically formats the result with either a sign (±) or direction letters (N/S/E/W).
Convert DMS to Decimal Degrees
Enter degrees, minutes, and seconds. If you pick a direction, it overrides sign interpretation and assigns the correct positive/negative value automatically:
- N and E become positive
- S and W become negative
Normalize DMS Values
If your source data includes overflow values like 12° 90′ 90″, use the normalize feature. It converts everything to total seconds and returns a clean DMS value inside standard ranges.
Conversion Formulas
Decimal Degrees → DMS
- Degrees = integer part of absolute decimal value
- Minutes = integer part of (fractional part × 60)
- Seconds = remaining fraction × 60
Sign or cardinal direction is applied at the end.
DMS → Decimal Degrees
Decimal = Degrees + (Minutes / 60) + (Seconds / 3600)
Then apply sign (negative for S/W, positive for N/E, or based on degrees sign if no direction is selected).
Practical Examples
Example 1: Longitude for Mapping
Input: -73.985656
Output: 73° 59′ 8.3616″ W
Example 2: Field Note to Decimal
Input: 34° 3′ 8.4″ N
Output: 34.05233333
Example 3: Normalization
Input: 10° 75′ 90″
Output: 11° 16′ 30″
Common Mistakes to Avoid
- Mixing up minutes and decimal minutes
- Forgetting to apply negative signs for south/west values
- Typing DMS symbols into software that expects decimal degrees only
- Rounding too aggressively and losing coordinate precision
Why Precision Matters
A small rounding error can shift a location by meters or more. For casual use this may be fine, but in surveying, engineering layout, or geospatial analysis, tiny differences can affect legal boundaries, flight paths, infrastructure placement, and navigation safety. This calculator keeps seconds precise and only rounds display output for readability.
Final Thoughts
The degrees minutes and seconds calculator above is built to be simple, fast, and practical for everyday coordinate work. Whether you are converting a single point or checking imported field data, use it to keep your angle values consistent and accurate.