Pivot Table - Calculated Field - Counting Distinct Values For with If Condition Met - Excel 2013

How can I create a calculated field in a pivot table that will count distinct values of Field1, given that Field2 meets a particular condition?

My limitations:

Needs to be in a pivot table

Needs to be a calculated field

The calculated field needs to be a unique count "formula", not simply a field setting change

Here is an example of what I am trying to achieve.

Raw data:

╔═════════════╦═══════════╦═════════╗

║ Date Period ║ Client ID ║ Field 2 ║

╠═════════════╬═══════════╬═════════╣

║           1 ║ A         ║       1 ║

║           1 ║ A         ║       1 ║

║           1 ║ A         ║       1 ║

║           1 ║ B         ║       1 ║

║           1 ║ B         ║       1 ║

║           1 ║ C         ║       1 ║

║           2 ║ A         ║       1 ║

║           2 ║ A         ║       1 ║

║           2 ║ B         ║       0 ║

║           2 ║ C         ║       0 ║

║           2 ║ C         ║       0 ║

╚═════════════╩═══════════╩═════════╝

Here is what the Pivot Table output (a subset of it...there would be other fields, like sums) would look like:

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║ Date Period ║ Distinct Clients where Field 2= 1 ║ Distinct Clients where Field 2= 0 ║

╠═══════╬═══════════════════╬═══════════════════╣

║           1 ║                                 3 ║                                 0 ║

║           2 ║                                 1 ║                                 2 ║

╚═════╩═══════════╩════════════╝

I have seen methods of using array functions (a combo of SUM, IF, FREQUENCY, and MATCH) for non-pivot table data. Can I do this with Pivot table fields?

I don't have any VBA background.