DMS to Decimal Degrees Converter
Coordinates in decimal degrees, the format GPS devices and mapping tools use.
Result
How it is calculated
The tool adds the minutes and seconds to the degrees as fractions of a degree: decimal = sign × (|degrees| + minutes ÷ 60 + seconds ÷ 3600). Minutes and seconds are optional and default to 0; the degrees box is required. The sign comes from the degrees box only: type a minus sign there for south latitudes and west longitudes, and the whole value, not just the degrees, becomes negative. A typed -0 also counts as negative, so −0° 30′ gives −0.500000°. Minutes and seconds themselves must not be negative, or no result is shown. The result has six decimals and a degree sign, about 0.1 metre on the ground. The tool does not check that minutes and seconds are below 60: 40° 90′ is accepted and gives 41.500000°. A hemisphere letter (N, S, E, W) cannot be typed; use the sign instead.
Worked example
A point at 33° 51′ 54″ south, entered as degrees −33, minutes 51, seconds 54. Minutes as degrees: 51 ÷ 60 = 0.85. Seconds as degrees: 54 ÷ 3600 = 0.015. Sum with the absolute degrees: 33 + 0.85 + 0.015 = 33.865. The minus sign from the degrees field applies to the whole value, so the result is -33.865000°. This is the format map and GPS software expect.
Common mistakes
- Applying the minus sign only to the degrees part by hand, as in −33 + 0.865 = −32.135. The tool applies the sign to the whole value, which is correct: the minutes and seconds also move the point further south or west.
- Entering south or west as positive numbers. Without a minus sign the result lands in the opposite hemisphere, in a different part of the map.
- Typing a hemisphere letter or a full string such as 33°51′54″S into the degrees box. Degrees, minutes and seconds go in separate boxes, as plain numbers.
- Typing decimal minutes (such as 51.9) in the minutes box and also filling seconds. Use either decimal minutes with seconds empty, or whole minutes with seconds.
- Typing minutes or seconds of 60 or more. The tool will not warn you, and the result will be a different point from the one you meant.
About this calculator
Geographic coordinates are traditionally written in degrees-minutes-seconds (DMS) notation, such as 40°44′54″N, where each minute is 1/60 of a degree and each second is 1/60 of a minute. Converting to decimal degrees uses the formula decimal = degrees + minutes/60 + seconds/3600, with the result made negative for southern latitudes or western longitudes so a single signed number can represent the full globe.
Decimal degrees are the format required by GPS devices, mapping APIs (Google Maps, GIS software), and most modern navigation systems, while DMS is still the format used in surveying documents, nautical charts, and older reference material. Surveyors, pilots, sailors, and developers building location-based apps regularly need to move between the two when combining data from different sources.
Was this helpful?
You can pick up to 3 reactions.
Popular calculators
Loan Calculator
Monthly payment, total interest and full amortization schedule.
Percentage Calculator
Percent change, percent of, and ratio calculations.
Discount Calculator
Calculate final price, savings, and discount amount.
BMI Calculator
Body mass index from height and weight (metric or imperial).
Age Calculator
Compute your exact age in years, months and days from a birth date.
Compound Interest Calculator
Calculate the final amount and interest earned with compounding.
All Calculators
- Loan Calculator
- Profit Calculator
- Discount Calculator
- BMI Calculator
- Percentage Calculator
- Ideal Weight Calculator
- Age Calculator
- Pregnancy Due Date Calculator
- Compound Interest Calculator
- BMR Calculator (Basal Metabolic Rate)
- Tip Calculator
- Fuel Cost Calculator
- Date Difference Calculator
- Sleep Cycle Calculator
- Daily Water Intake Calculator
- Simple Interest Calculator
- Heart Rate Zones Calculator
- Running Pace Calculator
- Pet Age Calculator
- Calories Burned Calculator
- Macro Calculator
- TDEE Calculator (Total Daily Energy Expenditure)
- Waist-to-Hip Ratio Calculator
- Honor Roll Calculator
- One Rep Max (1RM) Calculator
- Ovulation Calculator
- Electricity Cost Calculator
- Unit Price Calculator
- Savings Goal Calculator
- Break-Even Point Calculator
- Paint Calculator
- Course Grade Average Calculator
- Business Days Calculator
- Time Duration Calculator
- Fuel Economy Calculator
- Temperature Converter
- Tile Calculator
- Aspect Ratio Calculator
- Roman Numeral Converter
- Goal Weight Timeline Calculator
- Salary Converter (Hourly to Annual)
- Credit Card Validator (Luhn)
- Body Surface Area (BSA) Calculator
- Feels-Like Temperature Calculator
- Ohm’s Law Calculator
- PPI (Pixel Density) Calculator
- Molar Mass Calculator
- Zodiac Sign Calculator (Western + Chinese)
- IBAN Validator
- Shoe Size Converter
- Country Info & Dialing Code Lookup
- Time Zone Difference (World Clock)
- CAGR (Compound Annual Growth Rate) Calculator
- Rule of 72 Calculator
- Blood Alcohol Content (BAC) Calculator
- Lean Body Mass (LBM) Calculator
- Pythagorean Theorem Calculator
- Speed Converter
- Download Time Calculator
- Date Calculator (Add/Subtract)
No calculators found
Comments