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How Does `fmt.Printf`\'s `%b` Specifier Represent `float64` Numbers in Binary?

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2024-11-19 03:52:03824browse

How Does `fmt.Printf`'s `%b` Specifier Represent `float64` Numbers in Binary?

%b specifier in fmt.Printf for float64

The %b specifier in fmt.Printf for float64 types represents the significand of the floating-point number in binary format, with the exponent expressed as a power of two using the p notation.

For example:

fmt.Printf("0b%b\n", 255) // Output: 0b11111111 (8 bits)
fmt.Printf("%b\n", 1.0)    // Output: 4503599627370496p-52 (52 bits)

Min Subnormal Positive Double in Binary Format

The minimum subnormal positive double-precision floating-point number is represented in binary format as:

0000000000000000000000000000000000000000000000000000000000000001

This corresponds to the following IEEE 754 representation:

  • Sign bit: 0
  • Exponent: 0 (biased exponent)
  • Significand: 1 (normalized form)

In decimal notation, this value is approximately equal to 5e-324.

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