Pick out the solution from the values given in the bracket next to the equation. Show that the
other values do not satisfy the equation-
x - 17 = 10 (-30, 30, 27, -20)
Answers
Answer:
Show ( p) ( q) and (p q) are equivalent.
Solution We first construct below the truth table for the two compound propositions
Since the last two columns are the same, we conclude ( p) ( q) and (p q) are equivalent.
Show (p q) and ( p) ( q) are not logically equivalent.
Solution This is manifested in the following truth table
because the corresponding truth values differ (at 2 places).
Show (p q) ( p) is a tautology and (p q) ( p) is a contradiction.
Solution From the following truth table
We see (p q) ( p) is always true and is thus a tautology and (p q) ( p) is always false and is thus a contradiction.
Switching Circuits and Boolean Algebra
For switching systems with state space S={0,1}, the ''+'' and '''' operation are binary and the '''' operation is unary.
Solution This is because for any switching systems x and y, we have that x+y, x y and x' are all still switching systems with the same state space S.
Note Binary operator or operation has nothing to do with binary numbers.
Switching system (S, +, , ,0,1)with S = {0,1} is a Boolean algebra.
Solution We need to show B1 -- B5, by letting ''+'', '''' and '''' specifically denote switches in parallel, in series and in complementation respectively. The identities in B1 are valid because
The proof of B2 -- B5 is elementary. Hence we'll simply show only the first half of B3, i.e. a + (b c) = (a + b) (a+c). We'll show the identity by the use of the evaluation table below
Answer:
bajahajjabshsjjsbsjajsbnssn
ajisiaj
Step-by-step explanation:
gshsvisbsishsbsizbjaixhjdishx
in ssiishzhzu9shs