Decoders Decoder (High Active) Combinational circuit A | | 2^n | | B A | | 2^n | | C A | | 2^n | | C 1) Design decoder for the following function: F = A'B + BC F = Σ(1, 2, 3, 7) A B C F 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1 Questions in Lec 8 Slides 26: 1) Implement the following function using one active high decoder in SOP form: F = A'B + BC' F = Σ(1, 2, 3, 7) A B C F 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1 2) Implement the following function using one active high decoder in POS form: F = Π(1, 5, 6, 7) A B C F 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 0 1 1 1 0 3) Implement the following function using one active low decoder in SOP format: F = A.B + B.C' A B C F 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1 [Image of a circuit diagram with an active low decoder and AND gates] 4) Implement the following function using one active low decoder in POS format: F = A.B + B.C' F = Π(1, 5, 6, 7) A B C F 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 0 1 1 1 0 [Image of a circuit diagram with an active low decoder and OR gates] 5) Implement the following function using two active high decoders in SOP format: F = Σ(0, 2, 3, 4) A B C F 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 0 1 1 1 0 [Image of a circuit diagram with two active high decoders and OR gates] 25-8-2022 Wed 2) Implement the following function using more than one active high decoder in SOP format: F = A.B + B.C' F = Σ(0, 2, 3, 4) A B C F 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 0 1 1 1 0 [Image of a circuit diagram with multiple active high decoders and OR gates] **Find F in SOP format:** B | | 2x4 | | Dec C | | 2x4 | | Dec [Image of a circuit diagram with a 2x4 decoder and an OR gate] F = A'B' + A'BC' F = Σ(0, 1, 5, 7)