# JavaScript Convert a floating point hexadecimal to float in Ruby convert floating point to binary,convert floating point to decimal,

This output looked really weird at first, but it's actually consistent with our base-ten floats. `1.012` looks normal to us just because we use the decimal numeral system every day.

If I understand it correctly, the output can be seen as a rational with the numerator being the whole hex number (without '.') and the denominator being `16**(length of "decimal" part)` :

``````def string_to_float(string, base = 10)
string.delete('.').to_i(base).to_f / base**(string.reverse.index('.') || 0)
end

string_to_float('1.03126e978d4fe', 16)
#=> 1.012

string_to_float('1c.8', 16)
#=> 28.5

string_to_float('3.243f6a8885a3', 16)
#=> 3.141592653589793

string_to_float('20.0', 16)
#=> 32.0

string_to_float('20.', 16)
#=> 32.0

string_to_float('20', 16)
#=> 32.0

string_to_float('3.14159', 10)
#=> 3.14159

string_to_float('11.001001000011111101101010100010001000010110100011', 2)
#=> 3.141592653589793
``````

If you only need to convert hex floats, you can remove the `base` argument :

``````def hex_string_to_float(hex)
hex.delete('.').to_i(16).to_f / 16**(hex.reverse.index('.') || 0)
end
``````

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1