Question: IEEE 754-2008 includes a half precision that is 16 bits wide. The leftmost bit is the sign bit, the exponent is 5 bits wide and

IEEE 754-2008 includes a half precision that is 16 bits wide. The leftmost bit is the sign bit, the exponent is 5 bits wide and has a bias of 15, the fraction is 10 bits long. A hidden 1 is assumed. Write down the binary representation of the floating-point decimal number 8.28125 10¹. Use the format described which uses this excess-16 exponent format. Comment on how the range and accuracy of this 16-bit floating point format compares to the single precision IEEE 754 standard.

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