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Consider a new computer system which stores data in \"quads\", ie. it has four s

ID: 3627896 • Letter: C

Question

Consider a new computer system which stores data in "quads", ie. it has four states 0. 1. 2 and '3' (as opposed to binary which has only two. 0 and 1). Now imagine that numbers are stored in a 12 quad format where- there is one quad for the- sing of the number, three quads for the exponent, another one quad for the sign of the exponent and seven quads for the normalized mantissa (ie. it is of the form 0.nqqqqqq where n >= l). Find: The largest positive (decimal) number that can be represented in this system. The smallest positive (decimal) number that can be represented in this system. The machine epsilon, m.

Explanation / Answer

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