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<< sign::size(1), exp::size(11), mantissa::size(52) >> = << 3.14159::float >>
#=> <<64, 9, 33, 249, 240, 27, 134, 110>>

(1 + mantissa / :math.pow(2, 52)) * :math.pow(2, exp - 1023)
#=> 3.14159