# Question: the ieee 754 floating point standard for computers with 16...

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The IEEE 754 floating point standard for computers with 16 bit words represents floating point numbers by a 10 bit fractional part and an 5 bit exponent. There is a sign bit and a hidden bit of 1 before the binary point is assumed. Exponents are stored as excess 15 with the highest value indicating overflow and the lowest value (i.e. 0) used for representation of 0.

a) Give a simple explicit expression for the binary number .111...1 that involves a power of 2.