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hw26_SLN - ECE 211 HW 26 SOLUTIONS p 1/9...

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ECE 211 HW 26 SOLUTIONS p 1/9 //home/vdimitrov/6673/a8526301a8ac004e67a62f03d782c94257e8401e.doc HW 26 SOLUTIONS 1. Use a 1-out-of-8 decoder plus one logic gate to realize the logic function F ( A,B,C ) = A · (B C) with F, A, C active-Low B active-High. Solution: We need to express F as a sum of minterms. To do this, construct a truth table. A B C F 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 0 F(A,B,C) = Σ m(5, 6) Connect A' to x4, B to x2, C' to x1. Determine the minterm numbers at the decoder output: x4 x2 x1 A B C N 0 0 0 1 0 1 5 0 0 1 1 0 0 4 0 1 0 1 1 1 7 0 1 1 1 1 0 6 1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 1 0 0 1 1 3 1 1 1 0 1 0 2 Realization of F: (next page)

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ECE 211 HW 26 SOLUTIONS p 2/9 (1.) Circuit:
ECE 211 HW 26 SOLUTIONS p 3/9 2. Use a 1-out-of-8 decoder plus logic gates to realize the three functions F1(A,B,C) = Σ m (0, 3) + Σ d (4, 5, 6) F2(A,B,C) = Σ m (1, 2, 6) + Σ d (4, 7) F3(A,B,C) = Σ m (0, 3, 5, 6) + Σ d (2, 7) with F1, F3, A active-Low F2, B, C active-High. For each logic gate in your circuit, use a minimum number of inputs.

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hw26_SLN - ECE 211 HW 26 SOLUTIONS p 1/9...

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