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Suppose that you use 1 bit for the sign, 3 bits for the exponent, and 14 bits for the mantissa and that you represent numbers

Suppose that you use 1 bit for the sign, 3 bits for the exponent, and 14 bits for the mantissa and that you represent numbers in normalized notation. Assume that setting exponent bits to all 0s or 1s are special cases.

What is the largest number that you can represent, assuming the bias from the previous question, truncated to the third decimal place? (Note that this is not the same as rounding, you are simply discarding the last digits)

Bias is 3 but you could calculate it

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