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Mathematics, 14.09.2019 05:30 eddie2468

Finite precision, floating point, machine precision, denornal you bought a really old, cheap calculator from a shady character behind the student union. let's pretend it can only store numbers in 2-significant figure, base-10, floating point form d. d x 100-5 where each d is a base-10 (decimal) integer between 0-9. assume the first d in the mantissa must always be non- zero, unless the d in the exponent is o in which case the number becomes "denormal" (then the first d in the mantissa is forced to be zero). (a) how would this calculator represent the following numbers? i. 62.954 ii. 0.0004896 iii. 0.93 iv. 0.28 (b) what is machine precision (e) for this calculator? (c) what is the largest positive number that can be stored? (d) what is the smallest positive number that can be stored which is i. not denormal ii. denormal?

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