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Step 1 of 4 4.039E The 2-input NAND gate and 2-input NOR gate are complete set of logic gates or we can say that they are universal gates. That means any function can be realized from these gates. For example 2-input NAND gate can be realized in to AND, OR, NOT and XOR. The diagram for AND gate using NAND gate is shown in Figure 1: A 1 AB 3 2 B Figure 1 Step 2 of 4 The OR gate using NAND gate is shown in Figure 2: A 1 3 1 2 A+B 3 B Figure 2: OR gate using NAND gate Step 3 of 4 The NOT gate realization using NAND gate is shown in Figure 3: A 1 A' Figure 3: NOT gate using NAND gate Step 4 of 4 The XOR gate using NAND gate is shown in Figure 4: 1 3 2 1 2 2 2 B Figure 4: XOR gate using NAND gate Thus, it has been proved that a 2-input NAND gate is forms a complete set of logic gates.