Question: Let a 1 a 0 be the binary digits in the binary representation of the number a , 0 < = a < = 3

Let a1 a0 be the binary digits in the binary representation of the number a,0<= a <=3(e.g., if
a =2, then a 1=1 and a0=0). Let b1 b0 be similar binary digits for b,0<= b <=3. Now let
c = a + b, where c's binary digits are c2 c1 c0. Treating 1 as true and 0 as false, express c2,
c1, and c 0 as propositional statements in terms of a 1, a0, b1, and b 0.

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