Question: Q2. 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

Q2. IEEE 754-2008 contains a half precision that is only 16

Q2. 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/significand is 10 bits long. A hidden 1 is assumed. 1) Please write down the bit pattern to represent 2.5625101 assuming a version of this format, which uses an excess-16 format to store| the exponent. Please show all the steps. (2 marks) 2) Please comment on how the range and accuracy of this 16 -bit floating point format compares to the single precision IEEE 754 standard. ( 1 mark)

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