Recall that you may consider circuits that output strings over 0,1 by designating several output gates Let add n 0,1 2n 0,1 n 1 take two n bit binary integers and produce the n 1 bit sum Show that you can compute the add n function with O(n) size circuits

Question: Recall that you may consider circuits that output strings over {0,1} by designating several output gates. Let add n : {0,1} 2n {0,1} n+1

Recall that you may consider circuits that output strings over {0,1} by designating several output gates. Let add_n : {0,1}²ⁿ → {0,1}ⁿ⁺¹ take two n bit binary integers and produce the n+1 bit sum. Show that you can compute the add_n function with O(n) size circuits.

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