4. (25 points) You are given the task of designing a logic circuit corresponding to the K-map below while keeping the cost at a minimum. Assume that a gate with n inputs costs $n. So, for instance, an inverter will cost $1, a 2-input AND gate will cost $2, a 3-input OR gate will cost $3, etc. Gates with inverted inputs will cost $1 extra for each inverted input. a, b, 00 01 11 10 cd 00 1 1 01 1 1 he 11 1 1 10 1 1 (a) [15 points) Write the minimized Boolean equation corresponding to the Karnaugh map. (b) (5 points) Sketch the schematic for your circuit. (c) (5 points) What is the cost of your circuit? 4. (25 points) You are given the task of designing a logic circuit corresponding to the K-map below while keeping the cost at a minimum. Assume that a gate with n inputs costs $n. So, for instance, an inverter will cost $1, a 2-input AND gate will cost $2, a 3-input OR gate will cost $3, etc. Gates with inverted inputs will cost $1 extra for each inverted input. a, b, 00 01 11 10 cd 00 1 1 01 1 1 he 11 1 1 10 1 1 (a) [15 points) Write the minimized Boolean equation corresponding to the Karnaugh map. (b) (5 points) Sketch the schematic for your circuit. (c) (5 points) What is the cost of your circuit