How to use this Seconds to Binary Degrees Converter 🤔
Follow these steps to convert given angle from the units of Seconds to the units of Binary Degrees.
Enter the input Seconds value in the text field.
The calculator converts the given Seconds into Binary Degrees in realtime ⌚ using the conversion formula, and displays under the Binary Degrees label. You do not need to click any button. If the input changes, Binary Degrees value is re-calculated, just like that.
You may copy the resulting Binary Degrees value using the Copy button.
To view a detailed step by step calculation of the conversion, click on the View Calculation button.
You can also reset the input by clicking on Reset button present below the input field.
What is the Formula to convert Seconds to Binary Degrees?
The formula to convert given angle from Seconds to Binary Degrees is:
Angle(Binary Degrees) = Angle(Seconds) / 5062.5
Substitute the given value of angle in seconds, i.e., Angle(Seconds) in the above formula and simplify the right-hand side value. The resulting value is the angle in binary degrees, i.e., Angle(Binary Degrees).
Calculation
Calculation will be done after you enter a valid input.
Examples
1
Consider that a microscope's fine adjustment is set to 30 arc seconds for detailed observation. Convert this angle from seconds to Binary Degrees.
Answer:
Given:
The angle in seconds is:
Angle(Seconds) = 30
Formula:
The formula to convert angle from seconds to binary degrees is:
Angle(Binary Degrees) = Angle(Seconds) / 5062.5
Substitution:
Substitute given weight Angle(Seconds) = 30 in the above formula.
Angle(Binary Degrees) = 30 / 5062.5
Angle(Binary Degrees) = 0.00592592593
Final Answer:
Therefore, 30 " is equal to 0.00592592593 °.
The angle is 0.00592592593 °, in binary degrees.
2
Consider that a telescope's alignment needs to be within 20 arc seconds for accurate tracking. Convert this angle from seconds to Binary Degrees.
Answer:
Given:
The angle in seconds is:
Angle(Seconds) = 20
Formula:
The formula to convert angle from seconds to binary degrees is:
Angle(Binary Degrees) = Angle(Seconds) / 5062.5
Substitution:
Substitute given weight Angle(Seconds) = 20 in the above formula.
Angle(Binary Degrees) = 20 / 5062.5
Angle(Binary Degrees) = 0.00395061728
Final Answer:
Therefore, 20 " is equal to 0.00395061728 °.
The angle is 0.00395061728 °, in binary degrees.
Seconds to Binary Degrees Conversion Table
The following table gives some of the most used conversions from Seconds to Binary Degrees.
Seconds (")
Binary Degrees (°)
0 "
0 °
1 "
0.00019753086°
10 "
0.00197530864°
45 "
0.00888888889°
90 "
0.01777777778°
180 "
0.03555555556°
360 "
0.07111111111°
1000 "
0.1975°
Seconds
Seconds of arc, often simply called arcseconds, are a further subdivision of minutes of arc, with 60 seconds in one minute. This small unit is used for extremely precise angular measurements, such as those needed in astronomy, optics, and surveying, where even minute differences in angle can be significant.
Binary Degrees
Binary degrees, or 'binary angles,' are a unit of angular measurement used in digital systems where angles are represented using binary numbers. This system is particularly useful in computer graphics, robotics, and digital signal processing, where binary calculations are more efficient than traditional degrees.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Seconds to Binary Degrees in Angle?
The formula to convert Seconds to Binary Degrees in Angle is:
Seconds / 5062.5
2. Is this tool free or paid?
This Angle conversion tool, which converts Seconds to Binary Degrees, is completely free to use.
3. How do I convert Angle from Seconds to Binary Degrees?
To convert Angle from Seconds to Binary Degrees, you can use the following formula:
Seconds / 5062.5
For example, if you have a value in Seconds, you substitute that value in place of Seconds in the above formula, and solve the mathematical expression to get the equivalent value in Binary Degrees.