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Determine the SOP function that implements the truth table below and simplify it algebraically. Use the graphical method (using Bubble pushing and De Morgan’s theorem) to change the function so that only NAND gate are required.
Bepaal die SOP funksie wat die onderstaande waarheidstabel implementeer en vereenvoudig dit algebraies. Gebruik die grafiese metode (met borrelstoting en De Morgan se stelling) om die funksie te verander sodat slegs NENhekke benodig word.
| x1 | x2 | x3 | f |
| 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 0 |
| 0 | 1 | 0 | 1 |
| 0 | 1 | 1 | 0 |
| 1 | 0 | 0 | 1 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 1 |
| 1 | 1 | 1 | 1 |