# Binary hexadecimal and decimal calculator

The exponent can be computed from bits by subtracting The mantissa also known as significand or fraction is stored in bits An invisible leading bit i. As a result, the mantissa has a value between 1. If the exponent reaches binary , the leading 1 is no longer used to enable gradual underflow. If the exponent has minimum value all zero , special rules for denormalized values are followed. The exponent value is set to 2 and the "invisible" leading bit for the mantissa is no longer used.

The converter used to show denormalized exponents as 2 and a denormalized mantissa range [0: This is effectively identical to the values above, with a factor of two shifted between exponent and mantissa. However this confused people and was therefore changed Not every decimal number can be expressed exactly as a floating point number. This can be seen when entering "0. The hex representation is just the integer value of the bitstring printed as hex.

Don't confuse this with true hexadecimal floating point values in the style of 0xab. This source code for this converter doesn't contain any low level conversion routines. The conversion between a floating point number i.

The conversion between a string containing the textual form of a floating point number e. If you need to write such a routine yourself, you should have a look at the sourecode of a standard C library e. GNU libc, uclibc or the FreeBSD C library - please have a look at the licenses before copying the code - be aware, these conversions can be complicated. This page relies on existing conversion routines, so formats not usually supported in standard libraries cannot be supported with reasonable effort.

Double-precision bit floats would work, but this too is some work to support alongside single precision floats. As the primary purpose of this site is to support people learning about these formats, supporting other formats is not really a priority. Please note there are two kinds of zero: The sign is stored in bit The exponent can be computed from bits by subtracting The mantissa also known as significand or fraction is stored in bits An invisible leading bit i.

As a result, the mantissa has a value between 1. If the exponent reaches binary , the leading 1 is no longer used to enable gradual underflow. If the exponent has minimum value all zero , special rules for denormalized values are followed. The exponent value is set to 2 and the "invisible" leading bit for the mantissa is no longer used. The converter used to show denormalized exponents as 2 and a denormalized mantissa range [0: This is effectively identical to the values above, with a factor of two shifted between exponent and mantissa.

However this confused people and was therefore changed Not every decimal number can be expressed exactly as a floating point number. This can be seen when entering "0. The hex representation is just the integer value of the bitstring printed as hex.

Don't confuse this with true hexadecimal floating point values in the style of 0xab. This source code for this converter doesn't contain any low level conversion routines. The conversion between a floating point number i. The conversion between a string containing the textual form of a floating point number e. If you need to write such a routine yourself, you should have a look at the sourecode of a standard C library e.

GNU libc, uclibc or the FreeBSD C library - please have a look at the licenses before copying the code - be aware, these conversions can be complicated. This page relies on existing conversion routines, so formats not usually supported in standard libraries cannot be supported with reasonable effort.