Sure, I'd be happy to help! From what I can see, the math looks correct. The CNOT gate operation is applied to qubits 2 and 4, with qubit 3 as the control and qubit 4 as the target. The resulting state is a combination of the original state and the state resulting from the CNOT gate operation.

The normalization factor is calculated as the square root of the sum of the probabilities of measuring the state in either the 0 or 1 state. The probability amplitudes are then divided by the normalization factor to obtain the normalized state.

Let me know if you have any further questions or if you need help with anything else!