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IEEE 754-2008 contains a half precision that is only 16 bits wide. The left most bit is still the sign bit, the exponent is 5

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IEEE 754-2008 contains a half precision that is only 16 bits wide. The left most bit is still the sign bit, the exponent is 5 bits wide and has a bias of 15, and the mantissa is 10 bits long. A hidden 1 is assumed. Write down the bit pattern to represent - 1.5625 * 10^-1 assuming a version of this format, which uses an excess-16 format to store the exponent. Calculate [3.984375 * 10^-1 + 3.4375 * 10^-1) + 1.771 * 10^3 by hand, assuming each of the values are stored in the 16-bit half precision format described in Exercise 1 (and also described in the text book). Show all the steps, and write your answer in both the 16-bit floating-point format and in decimal

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