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Let "a" be a positive n-bit binary number and let "b" be a positive m-bit binary number.

(a) What is the range of values that the multiplication of those two numbers (a∗b) will have? Hint: Only specify the minimum and the maximum values that the resulting multiplication can have. Express each of these values in base 10, as a formula which is based on the parameters n and m.

(b) Provide an analogous response when adding the two positive n-bit and m-bit numbers (a + b).

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