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Decimal to Degrees Minutes Seconds Calculator N and W

Reviewed by Calculator Editorial Team

This calculator converts decimal degrees to degrees, minutes, and seconds with proper N/S and E/W indicators. It's useful for mapping, navigation, and geographic coordinate conversions.

How to Use This Calculator

To convert decimal degrees to degrees, minutes, and seconds:

  1. Enter the decimal value in the input field
  2. Select whether you're converting latitude (N/S) or longitude (E/W)
  3. Click "Calculate" to see the result
  4. Review the formatted output with proper cardinal indicators

The calculator handles both positive and negative values automatically, applying the correct N/S or E/W indicator based on your selection.

Formula Explained

The conversion from decimal degrees to degrees, minutes, and seconds uses these steps:

Degrees: Take the integer part of the decimal value

Minutes: Multiply the fractional part by 60 and take the integer part

Seconds: Multiply the remaining fractional part by 60

For example, converting 45.765° to DMS:

  1. Degrees = 45
  2. Minutes = 0.765 × 60 = 45.9
  3. Seconds = 0.9 × 60 = 54

The result is 45°45'54". The calculator automatically applies the correct cardinal indicator based on your selection.

Worked Examples

Example 1: Latitude Conversion

Convert 34.0544° to latitude format:

  1. Degrees = 34
  2. Minutes = 0.0544 × 60 = 3.264
  3. Seconds = 0.264 × 60 = 15.84

Result: 34°3'15.84" N (assuming positive value)

Example 2: Longitude Conversion

Convert -118.2437° to longitude format:

  1. Degrees = 118
  2. Minutes = 0.2437 × 60 = 14.622
  3. Seconds = 0.622 × 60 = 37.32

Result: 118°14'37.32" W (negative value automatically converted to W)

Frequently Asked Questions

What is the difference between decimal degrees and DMS?
Decimal degrees represent coordinates as a single decimal number (e.g., 45.765°), while DMS (degrees, minutes, seconds) breaks it into components (e.g., 45°45'54"). DMS is often used in maps and navigation.
How do I know if a coordinate is N/S or E/W?
Latitude coordinates are N/S (north or south of the equator), while longitude coordinates are E/W (east or west of the prime meridian). Positive values are N/E, negative are S/W.
Can I use this calculator for GPS coordinates?
Yes, this calculator works well for GPS coordinates. Just select the appropriate type (latitude or longitude) and enter your decimal value.
What if my decimal value is negative?
The calculator automatically applies the correct cardinal indicator (S or W) when you select latitude or longitude.
Is there a limit to the decimal values I can enter?
The calculator accepts values between -180° and 180° for longitude and -90° to 90° for latitude.