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hw12_SLN - ECE 211 HW 12 SOLUTIONS p 1 of 5...

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ECE 211 HW 12 SOLUTIONS p 1 of 5 //home/vdimitrov/4427/bd4085b8b7518c42929723084a914be9e094fa8a.doc HW 12 – SOLUTIONS 1. Determine the minimum size of the ROM needed to realize: (a) The expressions given in HW Set 9, Problem 4. (b) The Barrel Shifter circuit described in HW Set 9, Problem 5. (c) The Parity Detector circuit described in HW Set 9, Problem 6. (d) The circuit described in HW Set 10, Problem 1. (e) The circuit described in HW Set 10, Problem 3. Solution: (a) W = (a2 b2 c2 ) + (a1 b1 c1 ) + (a0 b0 c0 ) SA = (a2 b2 c2 ) a2 + (a2 b2 c2 )’ (a1 b1 c1 ) a1 + (a2 b2 c2 )’ (a1 b1 c1 )’ (a0 b0 c0 ) a0 SB = (a2 b2 c2 ) b2 + (a2 b2 c2 )’ (a1 b1 c1 ) b1 + (a2 b2 c2 )’ (a1 b1 c1 )’ (a0 b0 c0 ) b0 SC = (a2 b2 c2 ) c2 + (a2 b2 c2 )’ (a1 b1 c1 ) c1 + (a2 b2 c2 )’ (a1 b1 c1 )’ (a0 b0 c0 ) c0 Inputs: a2 a1 a0 b2 b1 b0 c2 c1 c0 9 inputs Outputs: W SA SB SC 4 outputs ROM Size: 2 9 × 4
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