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Problem 4 (28 points) Part 1: (6 points) single: 8 bits single: 23 bits double: 11 bits double: 52 bits s Exponent Fraction x=(-1) x(1+Fraction)
Problem 4 (28 points) Part 1: (6 points) single: 8 bits single: 23 bits double: 11 bits double: 52 bits s Exponent Fraction x=(-1) x(1+Fraction) x2 Exponent-Bias) i) (3 points) Show the IEEE 754 binary representation of the number -0.15625 (ten) in single precision. IEEE 754 single precision representation uses a bias of 127. ii) (3 points) What number is represented (single precision) by a register that contains bits: 1101110111010110....0 (the numbers in the dots are Os). Show the number in binary form, in HEX form, and finally show ONLY the significand/fraction of this number in decimal form (do not bother for the exponent because it is too big and it takes time to figure out what number this is). Solution
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