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solutions of jacob savirs homework 4 of digital design ece 251
Typology: Exercises
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Figure 1: K-map for Pb. 1 The simplified function:
Figure 2: K-map of the given function K-Map of the simplified function:
Figure 3: Minimal cover Therefore:.
Figure 4: Minimal cover for Pb. 3 Therefore,.
Figure 5: One possible minimal cover for Pb. 4. Therefore:.
The K-map:
Figure 6: Minimal cover of G Thus,. The NAND implementation:
Figure 7: NAND implementation
The NOR implementation:
Figure 8: NOR implementation
Figure 9: K-map for SOP (6 literals) POS form:
Figure 10: K-map for POS (7 literals) In this case, therefore, the SOP form is more economical.
The K-map for this case:
Figure 11: K-map for Pb. 8 The function:. One possibility for circuit implementation:
Figure 12: Circuit for Pb. 8
n xyz ABC 0 000 001 1 001 010 2 010 011 3 011 100 4 100 011 5 101 100 6 110 101 7 111 110
Circuit implementation:
Figure 17: Circuit for Pb. 10