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You just paid $5 for a very old-looking computer at a yard sale. To your surprise, it turns on and during the boot sequence, mentions
You just paid $5 for a very old-looking computer at a yard sale. To your surprise, it turns on and during the boot sequence, mentions that its microprocessor uses the IEEE 754 standard (but it does not specify how many bits). To your even bigger surprise, it has an early version of Matlab installed on it, and you can't resist playing with it to determine exactly which standard the computer uses. a. To determine the size of the mantissa, you perform the following operations and observe the following results: > > 1 + exp (-7.6) == 1 ans = 0 > > 1 + exp(-7.7) == 1 ans = 1 From this, determine the number of bits t in the fraction f of the mantissa. b. To determine the exponent, you perform the following operations and observe the following results: > > exp (5.5) ans = 244.6919 > > exp (5.6) ans = Inf From this, determine the number of bits n used for the characteristic c. c. From the results of your calculations, what is the size of a word (i.e. the total number of bits used for the representation of numbers) on your "new" computer
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