Implement the following Boolean function with a 4 × 1 multiplexer and external gates.1. (a)∗ F 1 ( A , B , C , D ) = Σ ( 1 , 3 , 4 , 11 , 12 , 13 ,14 , 15 )2. (b) F 2 ( A , B , C , D ) = Σ ( 1 , 2 , 5 , 7 , 8 , 10 , 11 ,13 , 15 )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 when A B = 00 , 01 , 10 , and 11. These functions may have to be implemented with external gates.
Implement the following Boolean function with a 4 × 1 multiplexer and external gates.
1. (a)∗ F 1 ( A , B , C , D ) = Σ ( 1 , 3 , 4 , 11 , 12 , 13 ,14 , 15 )
2. (b) F 2 ( A , B , C , D ) = Σ ( 1 , 2 , 5 , 7 , 8 , 10 , 11 ,13 , 15 )
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 when A B = 00 , 01 , 10 , and 11. These functions may have to be implemented with external gates.
The given Boolean function can be implemented by using the truth table and by using the truth table we can implement the function using 4x1 mux and few external gates.
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