Please solve the following problems. Show all solution steps and provide detailed answers to the

following problem on or before February $22,2024$

Design a three$-$input $($A$,$ B$,$ C$)$ combinational circuit that satisfies the following requirements $-$ the

output of the circuit is HIGH only when the inputs are $0,1,4,6,$ and $7.$ Your solution must include

the following:

a$.$ Truth Table

b$.$ Original Circuit Diagram

c$.$ Simplification using $($i$)$ Boolean Algebra and $($ii$)$ K$-$MAP

d$.$ Simplified Circuit Diagram

e$.$ LogiSim simulation of Original Circuit and Simplified CircuitDesign a three$-$input $($A$,$ B$,$ C$)$ combinational circuit that satisfies the following requirements $-$ the output of the circuit is HIGH only when the inputs are $0,1,4,6,$ and $7.$ Your solution must include the following:

a$.$ Truth Table

b$.$ Original Circuit Diagram

c$.$ Simplification using $($i$)$ Boolean Algebra and $($ii$)$ K$-$MAP

d$.$ Simplified Circuit Diagram

e$.$ LogiSim simulation of Original Circuit and Simplified Circuit