The resulting floating-point number can be displayed in ten forms: in decimal, in binary, in normalized decimal scientific notation, in normalized binary scientific notation, as a normalized decimal times a power of two, as a decimal integer times a power of two, as a decimal integer times a power of ten, as a hexadecimal floating-point constant, in raw binary, and in raw hexadecimal. It will convert both normal and subnormal numbers, and will convert numbers that overflow (to infinity) or underflow (to zero). It is implemented with arbitrary-precision arithmetic, so its conversions are correctly rounded. It will convert a decimal number to its nearest single-precision and double-precision IEEE 754 binary floating-point number, using round-half-to-even rounding (the default IEEE rounding mode). This is a decimal to binary floating-point converter. (1) Two-way conversions between bin and signed/unsigned int.Floating-Point Converts to this binary floating-point number (selected forms shown): Decimal Double: Flags Double: Inexact Subnormal About the Decimal to Floating-Point Converter (12) Change calculator appearance and behavior in the user settings. (11) The special overlay interface explains how the float is converted (activate it by long-pressing on an individual bit). (10) One-way conversion from bin to signed/unsigned int. (9) Copy signed/unsigned int conversions to clipboard. (7) Color coded binary string to familiarize students with the sign, exponent, and mantissa. (6) Convert bin to hex, oct, signed int, and unsigned int. (5) Convert float to hex, oct, signed int, and unsigned int. If you would like to send me your words of support and appreciation, please email them to me! Don't forget to email me your feedback and feature requests. Please share this app to other students/professors who might benefit from using it. After converting between these three number systems, you can then press on the "Apply" button to finally convert it to a floating point value. (2) The hexadecimal, octal, and binary conversion mode - this is used to convert between hexadecimal, octal, and binary representations. (1) The floating point calculator mode - this is used to explicitly convert between binary and floating point numbers. I am still working on adding full support for all the major numerical systems/representations in computer science. Limited support means that you can only perform one-way conversions. decimal)įull support means that you can perform two-way conversations between two numerical representations. This app has limited conversion support for: (2) double-precision floating point numbers (double. (1) single-precision floating point numbers (float. This app has full conversion support for: This converter also supports other numerical systems or representations including: floating point, binary, hexadecimal, octal, signed integer, and unsigned integer numbers. Another example: by long-pressing on an individual bit, this will activate an overlay that shows the user what happens when that specific bit is toggled on or off (try it out!). For example: the binary string is color coded to help students differentiate between the sign, the exponent, and the mantissa. This app is designed to help computer science and computer architecture students easily understand how a floating point value is calculated. To clarify what that means, here are the conversions it can do: This calculator supports two-way conversions. The binary representation of Pi is therefore: It can also convert the decimal number to a 32-bit and 64-bit binary string.įor example, the floating point (decimal) value of Pi is 3.14159. This calculator converts a 32-bit and 64-bit binary strings into their floating point values (i.e.
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