Question: Suppose your floating point numbers had only 8 bits with a 3 bit exponent and a 4 bit mantissa, using all the same conventions as

Suppose your floating point numbers had only 8 bits with a 3 bit exponent and a 4 bit mantissa, using all the same conventions as the IEEE standards (biased exponent with all 0's for subnormal numbers and all 1's for +/- infinity and NaN). Show your calculations and/or thought process for each of the following.

(a) What is the largest possible number?

(b) What is the smallest possible positive number (be sure to consider subnormals)?

(d) What is the representation of 1/7.0 (one seventh)?

(e) What is the representation of 1.0 - 31/32?

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