Inputs  of Half Adder are A=1 & B=1 the outputs are connected to  select lines of 4:1 MUX . what will be the output.

The Half Adder has two outputs, Sum (S) and Carry (C).

Step 1: Calculate the outputs of the Half Adder Given inputs A=1 and B=1, the outputs are: Sum (S) = A XOR B = 1 XOR 1 = 0 Carry (C) = A AND B = 1 AND 1 = 1

So, S=0 and C=1.

Step 2: Determine the selected input of the 4:1 MUX The 4:1 MUX has 4 inputs and the output is determined by the select lines. In this case, the select lines are connected to the outputs of the Half Adder (S and C).

The select lines form a 2-bit binary number, with C as the most significant bit and S as the least significant bit. So, the select lines form the binary number 10, which is 2 in decimal.

Step 3: Determine the output of the 4:1 MUX The output of the 4:1 MUX is the input that corresponds to the select lines. In this case, the selected input is the third one (counting from zero), because the select lines form the number 2.

Without knowing the specific values of the inputs to the MUX, we can't determine the exact output. But we know that it will be the value of the third input.