A binary string is an any sequence of 0s and 1s. The length of abinary string is the total number of 0s and 1s in the string. For anonnegative integer n, let An denote the set of binary strings oflength n. For instance, A2 = {00,01,10,11}. We define a relation Ron An as described next. Let a = a1···an and b = b1···bn beelements in An. Declare aRb ⇐⇒ For all 1 ≤ i ≤ n, ai 6= bi impliesai = 0 and bi = 1. Show that R is a partial order on An. Draw theHasse diagram for A3.
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