1. [682:1 One way of separating the range from the precision is to express numbers in the familiar scientific notation n fx10e where f is called the fraction, or mantissa, and e is a positive or negative integer called the exponent. The computer version of this notation is called floating point.] T or F? The range of n is determined by e and the precision of n is determined by the number of digits in f. 2. [683:2 Floating-point numbers, in contrast, do not form a continuum. Exactly 179,100 positive numbers can be expressed in the five-digit, two-sign system used above...] 179,100 is derived by multiplying 900 (possible unsigned mantissas) by 199 (possible exponents). T or F? There are exactly the same number of negative numbers capable of being expressed. 3. (Continuing 2) [683:2 Of the infinite number of real numbers between 10+100 and +0.999x1099, only 358,201 of them can be specified by this notation.] This infinite number of real numbers can be represented by the paltry 358,201 codes because of rounding. T or F? It is reasonable to say the 358,201 codes are each an approximation of at least one [o]f the infinite number of real numbers between 10+100 and +0.999x1099". 4. (Continuing 2) How many codes does the number 358,201 assume are used to represent 0? 1. [682:1 One way of separating the range from the precision is to express numbers in the familiar scientific notation n fx10e where f is called the fraction, or mantissa, and e is a positive or negative integer called the exponent. The computer version of this notation is called floating point.] T or F? The range of n is determined by e and the precision of n is determined by the number of digits in f. 2. [683:2 Floating-point numbers, in contrast, do not form a continuum. Exactly 179,100 positive numbers can be expressed in the five-digit, two-sign system used above...] 179,100 is derived by multiplying 900 (possible unsigned mantissas) by 199 (possible exponents). T or F? There are exactly the same number of negative numbers capable of being expressed. 3. (Continuing 2) [683:2 Of the infinite number of real numbers between 10+100 and +0.999x1099, only 358,201 of them can be specified by this notation.] This infinite number of real numbers can be represented by the paltry 358,201 codes because of rounding. T or F? It is reasonable to say the 358,201 codes are each an approximation of at least one [o]f the infinite number of real numbers between 10+100 and +0.999x1099". 4. (Continuing 2) How many codes does the number 358,201 assume are used to represent 0
