Design a system that generates a pattern of either "UCLA" or "USC" based on an input signal. As soon as the input bit turns 1 , the pattern generator starts to output "UCLA." If the input bit turns 0 ( 0 is less than I), the pattern generator starts to output "USC." Some examples: 1. If the input sequence of x(t13,t)=11110000001111, the output sequence of z(t13, t)= UCLAUSCUSCUCLA. 2. If the input sequence of x(t9,t)=1111001111, the output sequence of z(t9,t)= UCLAUSUCLA. Use the least number of bits for character encoding, and the minimal number of flip-flops and 4:1 multiplexers