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In this video tutorial, the Boolean function is implemented using a 4-to-1 multiplexer. The function f of a b c is equal to summation 1356, with a, b, c as variables. These variables are used as select lines in the multiplexer. As there are three select lines, 8-to-1 multiplexers are required. However, the tutorial demonstrates implementing the function using 4-to-1 multiplexers by considering two variables as select lines and adapting the design accordingly.