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23. Consider a special floating-point representation that is the same as IEEE single and double precision (with the largest exponent value representing infinity and NaN),
23. Consider a special floating-point representation that is the same as IEEE single and double precision (with the largest exponent value representing infinity and NaN), except that the exponent field is 3 bits and the significand field is 4 bits, for a total of 8 bits (once we include the sign bit). With this representation: What is the value in base 10 of the largest representable positive number? (infinity and NaN are not numbers.) a) What is the value in base 10 of the smallest representable positive number (not zero)? (infinity and NaN are not numbers. You may represent the result as a fraction rather than as a decimal.) b) c) How many numbers total can be represented? (infinity and NaN are not numbers.)
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