Design a combinational circuit with three inputs $P,Q,R$ and $2$ outputs $F1,F2.$

a$.$ The output $F_1$ is $1,$ if the binary value of the inputs is greater than $4$ else $0.$

b$.$ The output $F2$ is $0,$ if the binary values of the inputs are prime else $1.$

Write the VHDL program for the designed circuit using gate level modeling.