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Diffstat (limited to 'sem6/dig/mm1')
-rw-r--r-- | sem6/dig/mm1/opgaver.md | 54 |
1 files changed, 54 insertions, 0 deletions
diff --git a/sem6/dig/mm1/opgaver.md b/sem6/dig/mm1/opgaver.md new file mode 100644 index 0000000..509c1c5 --- /dev/null +++ b/sem6/dig/mm1/opgaver.md @@ -0,0 +1,54 @@ +# Opgave 1 + +Nope + +# Opgave 2 + + Show that the following + + R = ~(~(A * ~B) * ~(~A * B)) + + is XOR + +Man kan skrive exclusive or som: + +``` +(A + B) * ~(A * B) + +(A + B) * (~A + ~B) +A * ~A + A * ~B + B * ~A + B * ~B +A * ~B + B * ~A +~(~(A * ~B) * ~(~A * B)) +``` + +yaay + +# Opgave 3 + + Reduce the following + +Jeg tager bare den først. + +``` +A * ~B * ~C + A * B * ~C + ~A * ~C + +~C * (A * ~B + A * B) + ~A * ~C +~C * A + ~A * ~C +~C +``` + +# Opgave 4 + + Find expression + +``` +X = ~(A * B) +Y = ~(A * X) +Z = ~(B * X) +C = ~(Y * Z) +D = ~X + +C = ~(~(A * ~(A * B)) * ~(B * ~(A * B))) +D = ~~(A * B) = A * B +``` + |