### Instruction: Add $101_2 + 11_2 + 1100_2 + 11101_2.$ Express your answer in base $2.$.### Response: So 101 in base 2 is 5 in base 10
And 11 in base 2 is 3 in base 10
1100 in base 2 is 12 in base 10
11101 in base 2 is 29 in base 10
Adding 5 + 3 + 12 + 29 we get 49
Which in base 2 is 110001