Two 4 bits binary numbers, A = 1101 and B = 1010 are given in the inputs of a logic circuit shown in figure below. The output (Y) will be:

Step-by-step solution

From the given logic circuit, the input A passes through a NOT gate, giving A . This output A and the input B are then fed into a NAND gate. The Boolean expression for the final output Y is: Y = A B Given the 4 -bit binary inputs: A = 1101 B = 1010 First, find the bitwise NOT of A : A = 1101 = 0010 Next, find the bitwise AND of A and B : A B = 0010 1010 = 0010 Finally, apply the NOT operation for the NAND gate: Y = 0010 = 1101 Alternatively, using De Morgan's laws: Y = A B = A + B Y = 1101 + 1010 = 1101 + 0101 = 11