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XXX. XX.X X.XX 2. Floating Point. The term floating point refers to the fact that a number's fraction point (e.g., the decimal point in base-10,

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XXX. XX.X X.XX 2. Floating Point. The term floating point refers to the fact that a number's fraction point (e.g., the decimal point in base-10, or binary point in base-2) can float; that is, it can be placed anywhere relative to the significant digits of the number. For instance, given n=3 positions in base-10, the decimal point can be placed in: 3 integers and 0 fraction: Smallest Unit (precision): 1 2 integers and 1 fraction: Smallest Unit (precision): 0.1 1 integer and 2 fractions: Smallest Unit (precision): 0.01 O integer and 3 fractions: Xxx Smallest Unit (precision): 0.001 Given n=4 positions, put the fraction point in a position for the following numbers in base-2 to minimize the conversion error? Show the steps and all the possibilities if more positions are possible with the same error. a. (1.5) 10 b. (5.5)10 c. (10.5) 10 3. Make the following numbers negative if they are positive or make them positive if they are negative. Show the steps for when the numbers are in signed-magnitude and signed-radix-complement. a. (E1A01)16 b. (380101), c. (1001011)2

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