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Fixed-point number representationConsider a fixed-point, radix... | Filo

Fixed-point number representationConsider a fixed-point, radix... | Filo

Fixed-point number representationConsider a fixed-point, radix... | Filo

Fixed Point Arithmetic

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$Fixed-point number representation Consider a fixed-point, radix-3 number system, using the digit set [-1,1], in which numbers are represented with k integer digits and l fractional digits as: dk-1 dk-2 ⋯d1 d0 ·d-1 d-2 ⋯d-l a. Determine the range of numbers represented as a function of k and l. b. Given that each radix-3 digit needs 2 -bit encoding, compute the representation efficiency of this number system relative to the binary representation. c. Outline a carry-free procedure for converting o$

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$Fixed-point number representation Consider a fixed-point, radix-3 number system, using the digit set [-1,1], in which numbers are represented with k integer digits and l fractional digits as: dk-1 dk-2 ⋯d1 d0 ·d-1 d-2 ⋯d-l a. Determine the range of numbers represented as a function of k and l. b. Given that each radix-3 digit needs 2 -bit encoding, compute the representation efficiency of this number system relative to the binary representation. c. Outline a carry-free procedure for converting o$

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