(Solved): Design a circuit with output \( f \) and inputs \( A, B, C \), and \( D \). The output \( f=0 \) if ...

Design a circuit with output \( f \) and inputs \( A, B, C \), and \( D \). The output \( f=0 \) iff the input side of the circuit has three zeros or the input side of the circuit has three ones. Otherwise, \( f \) should be 1 . 1- Synthesize the simplest possible SOP for \( f \). 2-Design the circuit using basic logic gates (AND, NAND, NOR, OR, NOT, XOR, XNOR) 3-Design the circuit using only \( 16 \times 1 \) Multiplexer 4-Design the circuit using only \( 8 \times 1 \) Multiplexers 5 -Design the circuit using only \( 4 \times 1 \) Multiplexers 6-Design the circuit using only \( 4 \times 16 \) Decoder (and OR gates) 7- Design the circuit using only \( 2 \times 4 \) Decoders (and OR gates) 8- Design the circuit using only \( 1 \times 2 \) and \( 3 \times 8 \) Decoders (and OR gates)