Alright, let's solve this problem step by step. We have 2333 and 5405 and we're adding them together.

Step 1: We'll start by adding the digits 3 & 5 in column 1 and get 8.

Step 2: We'll start by adding the digits 3 & 0 in column 2 and get 3.

Step 3: We'll start by adding the digits 3 & 4 in column 3 and get 7.

Step 4: We'll start by adding the digits 2 & 5 in column 4 and get 7.

So, 2333 + 5405 = 7738.

