Question: 10 points, 5-5, work required) The base two decimal expansion of anumber x 2(0; 1) is given byx =0:a1a2a3a4::::where an 2 f0; 1g for n

10 points, 5-5, work required) The base two decimal expansion of anumber x 2(0; 1) is given byx =0:a1a2a3a4::::where an 2 f0; 1g for n =1; 2; 3; 4; 5; ::::::, andx =1Xn=1an2n(a) Find the base two decimal expansion for x =57.(b) A number x has the base two decimal expansionx =0:1001001001001001001:::::Write x as a reduced fraction of two positive integers.2

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