2. Let a be a positive unsigned n-bit binary integer and let b be a positive...

 

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2. Let a be a positive unsigned n-bit binary integer and let b be a positive unsigned m- bit binary integer. (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 unsigned n-bit and m-bit integers (a + b). 2. Let a be a positive unsigned n-bit binary integer and let b be a positive unsigned m- bit binary integer. (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 unsigned n-bit and m-bit integers (a + b).