Degrees Minutes Seconds Calculator

Precision tool for converting degrees minutes and seconds to decimal degrees and back featuring live validation batch processing table exports csv and pdf flexible rounding support coordinate entry helpers and clear formula explanations ideal for surveyors cartographers astronomers students engineers and anyone working with geographic or celestial angles on web mobile and desktop devices

DMS → Decimal Degrees
Decimal Degrees → DMS
Batch & Example Data

Use the example rows or add your own. Then export the table as CSV or PDF.

# Input Type Degrees Minutes Seconds Decimal Degrees Hemisphere Converted
1 DMS 73 59 59.88 E
2 DEC -33.865143 S
3 DMS 40 26 46 N
Formula Used

DMS → Decimal Degrees

Let sign be +1 or −1 from hemisphere or degree sign. Formula: decimal = sign × ( |deg| + min/60 + sec/3600 )

Decimal Degrees → DMS

Let a = |decimal|. Then: D = floor(a), M = floor( (a − D) × 60 ), S = (a − D − M/60) × 3600. Apply sign/hemisphere to D.

Validation: minutes range 0–59, seconds range 0–59.999…, decimal may be any real; hemisphere N/E is positive and S/W is negative.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.