Alright, let's solve this problem step by step. We have 41 and 5127 and we're adding them together.

Step 1: We'll start by adding the digits 1 & 7 in column 1 and get 8.

Step 2: We'll start by adding the digits 4 & 2 in column 2 and get 6.

Step 3: We'll start by adding the digits 0 & 1 in column 3 and get 1.

Step 4: We'll start by adding the digits 0 & 5 in column 4 and get 5.

So, 41 + 5127 = 5168.

