In 2008, the IEEE modified standard 754 to allow for half-precision 16-bit floating-point numbers. These numbers are

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In 2008, the IEEE modified standard 754 to allow for “half-precision” 16-bit floating-point numbers. These numbers are stored in similar fashion to the single precision 32-bit numbers but with smaller bit fields. In this case, there is 1 bit for the sign, followed by 5 bits for the exponent (in excess-15 format), and the remaining 10 bits are used for the fractional part of the normalized mantissa. Show how the decimal value +17.875 would be represented in this format.

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