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Step 2 of 10 (b) In order static hazards two level Karnaugh The Karnaugh map for the above can follows, WX 00 01 YZ 00 01 11 10 Figure for the F=W Y+X From observed that there presence for the combinations 0101 1101 and &1101 In order eliminate hazards from the extra AND gate should be So that covers the input combinations that creating An extra AND gate where added extra product term where be included function are shown below the Karnaugh (highlighted with 00 01 10 00 01 11 10 Figure 4: map for hazard free finction the free designed and from the the Step 3 of 10 (c) F=W Y+W In order find static hazards two level Karnaugh map used The map for the above can be drawn 00 01 10 YZ 00 01 11 10 Figure map for the F=W Step 4 of 10 From observed that there possibility static hazard presence for the input combinations 0100 0101 and In order the from the extra AND should be included So that covers all the input combinations that creating harards An AND gate where to added or - extra product term where be included function are as shown below the Karnaugh map (highlighted with 01 11 10 00 01 11 10 Figure 6: map for hazard free Thus the free function designed and from the map the Step 5 of 10 (d) In order static Karnaugh The map for the above 00 01 11 10 YZ 00 01 11 10 - Figure map for the From the observed that there possibility of the input 0101 0111 and eliminate from an extra AND gate should included So that covers all the input combinations that creating An extra AND gate where be added extra product term where be included function shown below the Kamaugh map (highlighted with 00 01 10 YZ 00 01 11 10 Figure map the free designed and from the map the (e) (X+Z) In order find static hazards two level map used The Kamaugh map above 01 10 YZ 00 01 10 0 Figure map for the F=(W From the Karnangh map, observed that there possibility 0 hazard presence 0000 0100 In order the from OR - should be included So that covers input combinations creating extra OR gate where added sum term where included in the are as shown in the Kamaugh map (highlighted with red color). Step 00 01 10 YZ 00 01 11 - - 10 Figure 10: for free Thus the free designed and the written In order static two level circuit The - for the above follows, 01 10 00 01 11 10 Figure 11: for the From the map, observed that there possibility of static 0 presence the input combinations 0000 1000 and 0011 order eliminate the from the - extra OR gate should be So that covers that creating An OR gate where to added sum term where included the are as shown below in the map (highlighted with red 00 01 10 YZ 00 01 11 10 Figure for free =(W (X+Y+Z) Thus the free designed and from the map the Step 9 of 10 (g) F=(W+) (W (X+Z) In order find two level map used The map for the above drawn follows, 00 01 10 YZ 00 01 11 10 Figure for the (W+ Y)-(X+Z) From the observed that there possibility static presence 0001 1101 1011 1010. In order eliminate the from the extra OR gate should be be included So that covers the that are creating gate where to be added extra sum term where to be included the are as shown below in the Kamaugh (highlighted with red (WX 00 01 10 YZ 01 11 10 Figure 14: free Step 10 of 10 the designed and from the the

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