In a certain 2-inputs logic gate, when inputs A =0 and B =0 , then output C=1 . And also when inputs A=0, B=1 , then again output C=1 . The gate must be

Step-by-step solution

Analyzing the logic gate behavior: Given input-output conditions: • A=0 , B=0 produces C=1 • A=0 , B=1 produces C=1 The OR gate gives C=A+B : For A=0 , B=0 : C=0+0=0 eq1 This violates the first condition. The AND gate gives C=A B : For A=0 , B=0 : C=0 0=0 eq1 This violates the first condition. The NAND gate gives C= A B : For A=0 , B=0 : C= 0 0 = 0 =1 For A=0 , B=1 : C= 0 1 = 0 =1 Both conditions are satisfied. The NOR gate gives C= A+B : For A=0 , B=0 : C= 0+0 = 0 =1 For A=0 , B=1 : C= 0+1 = 1 =0 eq1 This violates