Alright, let's solve this problem step by step. We have 2562 and 4026 and we're adding them together.

Step 1: We'll start by adding the digits 2 & 6 in column 1 and get 8.

Step 2: We'll start by adding the digits 6 & 2 in column 2 and get 8.

Step 3: We'll start by adding the digits 5 & 0 in column 3 and get 5.

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

So, 2562 + 4026 = 6588.

