Decimal Coordinates to Sexagesimal Calculator

Example Data Table

Use these decimal coordinates to test the converter.

Formula Used

The calculator changes decimal degrees into degrees, minutes, and seconds. This system is called sexagesimal because it uses base sixty.

Degrees: D = floor(abs(decimal degrees))

Minutes: M = floor((abs(decimal degrees) - D) × 60)

Seconds: S = (((abs(decimal degrees) - D) × 60) - M) × 60

Hemisphere: Positive latitude is north. Negative latitude is south. Positive longitude is east. Negative longitude is west.

Example for 40.7128 latitude:

D = 40

M = floor(0.7128 × 60) = 42

S = (42.768 - 42) × 60 = 46.08

The result is 40° 42' 46.08" N.

How to Use This Calculator

1. Enter a point name for your record.
2. Enter the decimal latitude.
3. Enter the decimal longitude.
4. Select the seconds precision.
5. Choose the output style.
6. Select hemisphere placement.
7. Choose the coordinate order.
8. Press the convert button.
9. Review the result above the form.
10. Download the CSV or PDF report when needed.

Decimal Coordinates and Sexagesimal Conversion Guide

Why this conversion matters

Decimal coordinates are common in maps and databases. They are simple to store. They are also easy to process with software. Yet many field notes, survey records, nautical charts, and older map references use sexagesimal notation. That notation shows degrees, minutes, and seconds. This calculator connects both formats.

What decimal degrees mean

A decimal coordinate stores the full angle as one number. The whole part is the degree value. The decimal part is a fraction of one degree. One degree has sixty minutes. One minute has sixty seconds. The calculator separates each part with careful rounding.

Latitude and longitude direction

Latitude measures north and south position. Positive latitude is north. Negative latitude is south. Longitude measures east and west position. Positive longitude is east. Negative longitude is west. The tool can show direction as letters. It can also keep signed values when that style is preferred.

Precision control

Seconds can have decimal places. More decimal places give more detail. Fewer decimal places make the result cleaner. For general map labels, two decimal places often work well. For technical records, more places may be useful. The calculator lets you choose from zero to eight places.

Output styles

Different projects need different formats. Some reports use symbols. Some forms use text labels. Some systems need colon-separated values. This tool supports each style. You can also change the order of latitude and longitude. That helps when a mapping system expects longitude first.

Range checking

Latitude should stay from minus ninety to plus ninety. Longitude should stay from minus one hundred eighty to plus one hundred eighty. Strict range checking helps catch typing mistakes. Longitude normalization can also wrap large longitude values into the common range.

Downloads for records

The CSV download is useful for spreadsheets. It includes each coordinate part. It also includes decimal values and total arc seconds. The PDF download is useful for quick reports. It gives a readable summary that can be saved or shared.

Good use cases

This converter helps with surveying notes, map labels, GPS cleanup, field reports, academic work, travel records, and location databases. It is also useful when users copy coordinates from one system and need another notation. The result stays clear and consistent.

Accuracy notes

The conversion is mathematical. It does not change the coordinate location. It only changes the way the coordinate is written. Rounding can slightly change the displayed seconds. Choose a precision that matches your project needs. Always confirm source coordinates before using them for legal or safety work.

Best practice

Keep the original decimal value with the converted result. This gives a clean audit trail. It also makes later checking easier. Use hemisphere letters when sharing with people. Use signed values when sending data to many software systems. A clear format prevents costly location errors.

FAQs