1. Mathematics
2. Algebra
3. Boolean Algebra
4. 278676

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Implement the following boolean function with a 4x1 multiplexer and external gates. Connect inputs A and B to the selection lines. The input requirements for the four data lines will be a function of variables C and D. These values are obtained by expressing F as a function of C and D for each of the four cases AB = 00, 01, 10 and 11. These functions may have to be implemented with external gates.

F(A,B,C,D) = SIGMA(1,3,4,11,12,13,14,15)