(a) In the single format floating point system, what is the smallest gap between two consecutive floating point numbers? (b) Suppose x and y are floating point numbers in single format and x → y = 0. Show that x and y must be equal.

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(a)
In the single format floating point system, what is the smallest gap between two consecutive floating point numbers?
(b)
Suppose x and y are floating point numbers in single format and x → y = 0.
Show that x and y must be equal.
Transcribed Image Text:(a) In the single format floating point system, what is the smallest gap between two consecutive floating point numbers? (b) Suppose x and y are floating point numbers in single format and x → y = 0. Show that x and y must be equal.
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