Assume a simple floating-point representation that uses four bits in the significand, three bits for the exponent, and one for the sign. The exponent is stored in excess-3 format and all exponent values are valid. In this case we have the following representations,

Work out the following sums and express the answer in bits. Use a floating-point intermediate with eight bits for the significand and then round your answer to the nearest expressible value. Find 4.25 + 1.5 and -4.25 + -1.5.

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4.250 101 0100 1.50 011 1000 -1.5 1 011 1000 = -4.25 -1 101 0100