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Hw7soln - ECE 15A Homework 7 Solutions 1 Do the following...

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1 ECE 15A Homework 7 Solutions 1. Do the following problems from CHR: a. (15) 8.F The solution for 8.F has 3 steps: Step 1: Use a Karnaugh map to find the minimum function that turns each segment on. Step 2: Derive the NAND gate replacement for each function used in the minimum solution. Step 3: Rewrite the minimum functions with NAND gates. Top Segment = 0,2,3,5,6,7,8,9 C’ D’ C’ D C D C D’ A’ B’ m0 m2 m3 A’ B X X X A B X X X m5 A B’ m9 m8 m7 m6 Top Segment = A + B’D’ + CD Top Right Segment = 0,1,2,3,4,7,8,9 C’ D’ C’ D C D C D’ A’ B’ m0 m1 m2 m3 A’ B X X X m4 A B X X X A B’ m9 m8 m7 Top Right Segment = A’ + AC’ + AD Top Left Segment = 0,4,5,6,7,8,9 C’ D’ C’ D C D C D’ A’ B’ m0 A’ B X X X m4 A B X X X m5 A B’ m9 m8 m7 m6 Top Left Segment = A + B + C’D’ Middle Segment = 2,3,4,5,6,8,9 C’ D’ C’ D C D C D’ A’ B’ m2 m3 A’ B X X X m4 A B X X X m5 A B’ m9 m8 m6 Middle Segment = CD’ + AC’ + A’C Bottom Right Segment = 0,1,3,4,5,6,7,8,9 C’ D’ C’ D C D C D’ A’ B’ m0 m1 m3 A’ B X X X m4 A B X X X m5 A B’ m9 m8 m7
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