A student has to use an appropriate number of (i) NAND gates (only) to get the output `y_(1)` (ii) NOR gates (only) to get the output `y_(2)` from two given input A and B as shown in the Fig.

Identify the 'equivalent gate' needed in each case. Show how one can connect an appropriate number of (i) NAND (ii) NOR gates respectively in the two cases to gat the equivalent gates.

Explanation

(i) For output `y_(1)`, we note that if either of A or B or both is 1, then output is 1. Hence this output `y_(1)` is of OR gate.
Three NAND gates connected as shown in Fig. give OR gate.
(ii) For output `y_(2)` , we note that if both A or B are 1, then only output `y_(2) =1`. Heance this output `y_(2)` is of AND gates. Three NOR gates connected as shown in Fig. gives AND gate.