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degrees and decimal minutes: 40° 26.767′ N 79° 58.933′ W; decimal degrees: +40.446 -79.982; There are 60 minutes in a degree and 60 seconds in a minute. Therefore, to convert from a degrees minutes seconds format to a decimal degrees format, one may use the formula
The TI-54 touted features such as "built in algebraic functions for both real and complex numbers", "hyperbolic and trig functions for real numbers", and conversion functions such as polar to rectangular, and degrees/minutes/seconds to decimal degrees. It also came with Texas Instruments' Constant Memory feature, which allowed for data storage ...
Alternatively, the traditional sexagesimal unit subdivisions can be used: one degree is divided into 60 minutes (of arc), and one minute into 60 seconds (of arc). Use of degrees-minutes-seconds is also called DMS notation.
The concepts of degrees, minutes, and seconds—as they relate to the measure of both angles and time—derive from Babylonian astronomy and time-keeping. Influenced by the Sumerians, the ancient Babylonians divided the Sun's perceived motion across the sky over the course of one full day into 360 degrees.
Decimal degrees are an alternative to using sexagesimal degrees (degrees, minutes, and seconds - DMS notation). As with latitude and longitude, the values are bounded by ±90° and ±180° respectively. Positive latitudes are north of the equator, negative latitudes are south of the equator.
Input degrees can be signed in which case the hemisphere is not required. A negative value implies a value in the western or southern hemisphere. Minutes and seconds need not be specified. If no degrees are specified then a value of zero is assumed. This template does not attempt to trap invalid values and results in this case might be undefined.
The HP-65 was one of the first calculators to include a base conversion function, although it only supported octal (base 8) conversion. It could also perform conversions between degrees/minutes/seconds (sexagesimal) and decimal degree (sexadecimal) values, as well as polar/cartesian coordinate conversion.
This notation leads to the modern signs for degrees, minutes, and seconds. The same minute and second nomenclature is also used for units of time, and the modern notation for time with hours, minutes, and seconds written in decimal and separated from each other by colons may be interpreted as a form of sexagesimal notation.