Question
for an Floating point number system with (b, s, m, M)=(10, 4, -99, +99). (a) the smallest positive number (b) the gap length (width of
for an Floating point number system with (b, s, m, M)=(10, 4, -99, +99).
(a) the smallest positive number
(b) the gap length (width of the "chasm") just to the right of zero
(c) the second smallest positive number
(d) the gap length to the right of the smallest positive number
(e) the ratio of the chasm width (part (b)) to the smallest gap length (part (d))
(f) the floating representation of 1.0 in this system
(g) the largest number that is less than 1.0
(h) the gap length to the left of 1.0
(i) the smallest number greater than 1.0
(j) the gap length to the right of 1.0
(k) the ratio of (the gap length to the right of 1.0) to
(the gap length to the left of 1.0)
(l) the smallest positive integer that cannot be represented in this system
(m) the smallest representable integer that is greater than the smallest nonrepresentable positive integer, if any such exists
(n) the length of the gap in which the smallest nonrepresentable integer lies,
if any such exists
(o) the number of nonrepresentable integers, if any, in the gap in part (n)
(p) the largest number
(q) the gap length to the left of the largest number
(r) the number of nonrepresentable integers, if any, in the gap immediately to the left of the largest number
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