Triple Truth Table, Solution

TRIPLE TRUTH TABLE Write code which prints a truth table involving 3 boolean variables, to prove the larger DeMorgan's law: !(a | b | c) == !a & !b & !c // Does truth table of Big DeMorgan // Using a while-true-break loop boolean a, b, c; a = false; while (true) { b = false; while (true) { c = false; while (true) { System.out.print (a + "\t"); System.out.print (b + "\t"); System.out.print (c + "\t"); System.out.print (!(a | b | c) + "\t"); System.out.println ( !a & !b & !c); if (c) break; c = ! c; }//end while c if (b) break; b = ! b; }//end while b if (a) break; a = ! a; }//end while a false false false false true true true true false false true true false false true true true false false false false false false false true false false false false false false false // Does truth table of Big DeMorgan // Using a loop: do while boolean a, b, c; boolean left, right; a = false; do { b = false; do { c = false; do { left = !(a | b | c); right= !a & !b & !c; System.out.print (a + "\t"); System.out.print (b + "\t"); System.out.print (c + “\t”); System.out.print (left + " "); System.out.println(right); c = ! c; } while (c); b = ! b; } while (b) ; a = ! a; } while (a); false false false false true true true true false false true true false false true true true true false false false false false false false false false false false false false false // Does truth table of Big DeMorgan // Using no loops; just brute enumeration boolean a, b, c; boolean T = true, F = false; System.out.println (“Equal”); a = F; b = F; c = F; System.out.println ( !(a | b | c) == (!a & !b & !c) ); a = F; b = F; c = T; System.out.println ( !(a | b | c) == (!a & !b & !c) ); a = F; b = T; c = F; System.out.println ( !(a | b | c) == (!a & !b & !c) ); a = F; b = T; c = T; System.out.println ( !(a | b | c) == (!a & !b & !c) ); a = T; b = F; c = F; System.out.println ( !(a | b | c) == (!a & !b & !c) ); a = T; b = F; c = T; System.out.println ( !(a | b | c) == (!a & !b & !c) ); a = T; b = T; c = F; System.out.println ( !(a | b | c) == (!a & !b & !c) ); a = T; b = T; c = T; System.out.println ( !(a | b | c) == (!a & !b & !c) ); Output Equal true true true true true true true true