﻿ Degrees, Minutes, Seconds to decimal Degrees calculator and vice-versa

# Degrees, Minutes, Seconds calculator to Decimal Degrees and vice-versa.

Overwrite the default numbers in the blue boxes below with the latitude or longitude of your location. Input positive numbers only (e.g. 0 to 360 deg).

 Whole Degrees Minutes Seconds Deg Min Sec

 Decimal degrees 4 decimal places Decimal degrees 5 decimal places Decimal degrees 6 decimal places 4 dec places 5 dec places 6 dec places

The calculation equation is simply: Decimal degrees = whole number of degrees, plus minutes divided by 60, plus seconds divided by 3600

Reverse process:  Input decimal degrees and the result is given in deg/min/sec format.

 Decimal Degrees Deg decimal

 Wholedegs Minutes Seconds Hemi Deg Min Sec Hemi Deg Min

If you have a GPS receiver the display may be Longitude 117 degrees and 29.842 minutes.  In this case use the first two blue boxes above and put figure 0 (i.e. zero) in the seconds box.   If you have a GPS receiver display like 117 degrees and 29 minutes and 50.5 seconds then put the numbers in all three blue boxes above in the same manner as shown with the default numbers.

On many GPS receivers it is possible to switch the latitude-longitude display settings format.  Investigate your GPS options and if you can get the display into decimal degrees like 117.4974 degrees, then you do not need to use this calculator.

Test by clicking to calculate the result with the default numbers.  The answer should be 117.4974 decimal degrees. i.e. just under 117 and a half degrees. Three alternative answers are provided, the first to 4 decimal places (accuracy 11m distance on the equator), the third to 6 decimal places (accuracy 11cm distance on the equator). If the calculator does not work, you need to enable javascript in your browser.

Accuracy: If you notice significant discrepancies between your lat/long location as shown using Google maps compared with GPS readout or physical paper maps then you should check that the coordinate systems used are based on the same datum.  The datum called WGS84 is common, but on many older paper maps different local datums are used. Your GPS receiver configuration may allow one of many alternative datums to be selected.

A map datum comprises a physical location with an associated pair of lat/long figures, plus a mathematical model of the shape of the earth.  The physical location might be a trig point on a convenient mountain top.  The assumed shape of the earth, equatorial diameter, polar diameter etc may vary slightly according to the assumptions made.  Remote islands tend to have their own datums referenced to a local mountain top.