Hexadecimal to DoublePrecision (64bit) FloatingPoint Converter
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Historical Background
The IEEE 754 standard defines how doubleprecision floatingpoint numbers (64bit) are stored in binary format. Each doubleprecision number has three components: a sign bit, an 11bit exponent, and a 52bit mantissa (fractional part). This standard allows for a wide range of values with high precision, essential in scientific and financial computing.
Calculation Formula
To convert a hexadecimal number to doubleprecision:
 Convert the hexadecimal to binary.
 Interpret components using IEEE 754 format:
 Sign: The first bit represents the sign (0 for positive, 1 for negative).
 Exponent: The next 11 bits, representing the exponent offset by 1023.
 Mantissa: The last 52 bits, representing the fractional part.
 The value is calculated by:
\[ \text{Value} = (1)^{\text{sign}} \times 1.\text{mantissa} \times 2^{\text{exponent}  1023} \]
Example Calculation
For hexadecimal 0x2C3F35BA781948B1
:
 Binary:
0010110000111111001101011011101001111000000110100100100010110001
 Sign:
0
(positive)  Exponent:
563
(binary01000110011
), so563  1023 = 460
 Mantissa:
0.522…
(from fractional bits)
Resulting double value is approximately 1.2e138
in this hypothetical case.
Importance and Usage Scenarios
Hexadecimal to doubleprecision conversion is critical for fields like software development, scientific computing, and financial analysis where precise calculations are needed. It allows the examination of raw memory representations and ensures consistency across different computing environments.
Common FAQs

What is IEEE 754?
 It’s a standard defining how floatingpoint numbers are stored in memory, ensuring compatibility and precision in digital computations.

Why use hexadecimal?
 Hexadecimal provides a compact representation of binary data, making it easier to read and interpret memory or file contents.

Can this calculator handle non64bit numbers?
 No, this calculator is specifically for 64bit (doubleprecision) floatingpoint conversions.