How many floating point numbers x are there such that 1<=x<2? List Them: How man

Question

How many floating point numbers x are there such that 1<=x<2? List Them:

How many floating point numbers are there such that 1/2<=x<1?

How many floating point numbers are there such that 2<=x<4

What do you conclude about the density of distribution of floaitng point numbers ar smaller versus bigger magnitudes?

Consider the set of binary floating point numbers x that have 4 binary digits of precision: x = alpha. .2e Here alpha = plusminus, e is an integer, and = 1.a1a2a3 is a binary fraction having precision of 4 binary digits such that (1)2

Explanation / Answer

There are infinite no. of floating point numbers between any two real numbers

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