✅ Given Information:

We are asked to find the total number of binary functions that can be defined using n Boolean variables.

✅ Step 1: Number of input combinations:

For n Boolean variables, the number of possible input combinations is 2ⁿ.

✅ Step 2: Number of possible outputs:

Each input combination can map to either 0 or 1, so there are 2 possible outputs for each of the 2ⁿ input combinations.

✅ Final Formula:

Total Binary Functions = 2⁽²ⁿ⁾

✅ Final Answer:

The total number of binary functions that can be defined using n Boolean variables is: 2⁽²ⁿ⁾