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# HW6 - gates Solution b Find an AND-OR circuit for F which...

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Homework 6 Solutions 1a) 7.7: Realize Z=AE+BDE+BCEF using only 2-input NOR gates Solution: 1b) 7.8: (a) Convert the following circuit to all NAND gates, by adding bubbles and inverters where necessary. Solution: (b) Convert to all NOR gates (an inverter at the output is allowed) Solution:

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1c) 7.31: Realize Z=A[BC’ + D + E(F’ + GH)] using NOR gates. Add inverters if necessary. Solution:
1d) 7.18: Find eight different simplified two-level gate circuits to realize a) F(w,x,y,z) = (x+y’+z)(x’+y+z)w b) F(a,b,c,d) = m(4,5,8,9,13) Solution: 1e) 8.2:Consider the Following logic function:

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F(A,B,C,D) = m(0,4,5,10,11,13,14,15) a) Find two different minimum circuits with implement F using AND and OR

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Unformatted text preview: gates Solution: b) Find an AND-OR circuit for F which has no hazards Solution: c) Find an OR-AND circuit for F which has no hazards Solution: 1f) 8.9: The following circuit was designed to implement the logic equation F=(A+B’+C’)(A’ + B + C’)(A’+B’+C), but it is not working properly. The input wire to gates 1.2 and 3 are so tightly packed, it would take you a while to trace then all back to see whether the inputs are correct. It would be nice to only have to race which ever one is incorrectly wired. When A=B=C=1, the inputs and outputs of gat 4 are shown. Is gate 4 working properly? If so, which of the other gates either is connected incorrectly or is malfunctioning?...
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