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6. (Chapter 3.5) Write down the binary representation of the decimal number -35.6125 assuming the IEEE 754 single precision format. (4 points) 7 (Chapter 3.5) IEEE 754-2008 contains a half precision that is only 16 bits wide. The leftmost 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 * 10-2 assuming a version of this format. Calculate the sum of 2.6125*102 and 4.150390625 * 101 by hand, assuming both numbers are stored in the 16-bit half precision described above. Assume 1 guard, 1 round bit, and I sticky bit, and round to the nearest even, Show all the steps. (8 points)