Use a Karnaugh map to find the minimum SOP form for each expression: #40a & d

Section 4-8 The Karnaugh Map 37. Draw a 3-variable Karnaugh map and label each cell according to its binary value. 38. Draw a 4-variable Karnaugh map and label each cell according to its binary value. 39. Write the standard product term for each cell in a 3-variable Karnaugh map. Section 4-9 Karnaugh Map SOP Minimization 40. Use a Karnaugh map to find the minimum SOP form for each expression: (b) AC(B C (a) ABC + ABC + ABC (c) A(BC BCA(BC + BO (d) ABC+ ABC +ABC ABC 41. Use a Karnaugh map to simplify each expression to a minimum SOP form: ABC (b) AC18 + B(B + C1 (a) ABC + ABC + ABC (c) DEF + DEF+DEF 42. Expand each expression to a standard SOP form: (a) AB ABC + ABC (o ABCD ACD+ BCD +ABCD (d) AB+ABCD CD + BCD+ AB (b) A + BC 43. Minimize each expression in Problem 42 with a Karnaugh map 44. Use a Karnaugh map to reduce each expression to a minimum SOP form