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For the following question use the following floating point representation: 8 4 bits total, sign, 4 bit biased excess 7 exponent, and 3 bit significand.

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For the following question use the following floating point representation: 8 4 bits total, sign, 4 bit biased excess 7 exponent, and 3 bit significand. There is an implied 1 to the left of the binary point. How many different numbers can be represented in the floating point format described above? You do not need to count the denormalized numbers or possible NANs. You also need to exclude minus 0 and plus and minus infinity. Show all of your work with comments for full credit

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