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Discrete Math Using the fact that x - y =~ IV y and basic laws of...
3. Using the fact that I - Vy and basic laws of logic to show that P (T) (PA) 4. (a). Convert the decimal number 193 to binary notation using repeated division by 2. (b). Convert the hexadecimal number A7CE, to binary notation.
Discrete math problems: 9. Show that p = 10. Show that p = q and ( q p = n are logically equivalent. ) and q = (p V r) are logically equivalent. r
Discrete Math I'm confused with the questions listed below. Can you please solve and explain in detail? how it transforms one to the other to get the answer? Using propositional logic properties and other logical equivalences (not truth tables), prove the following statements: 1. (p Vq) V (p V -q) is a tautology 2. ((p-+ r) Л (q r) Л (pv q)) _+ r is a tautology 3. (pVq) Л (-р Л q) is a contradiction 4. (1-p) Λ (p...
CSCI/MATH 2112 Discrete Structures I Assignment 1. Due on Friday, January 18, 11:00 pm (1) Write symbolic expression for each of the statements below; then work out their negations; finally expressing each as complete sentence in English: (a) Roses are red, violets are blue. (b) The bus is late or my watch is slow. (c) If a number is prime then it is odd or it is 2. (d) If a number x is a prime, then (root ) x...
prove that the arguments are valid using rules of inference and laws of predicate logic, (state the laws/rules used) Væ(P(x) + (Q(x) ^ S(x))) 3x(P(x) R(x)) - - .. Ex(R(x) ^ S(x)) - - - (0)H-TE. - – – – – – (24-TE ((x)S_(w))XA ((x)S ^ ()04)XA (2) 1 (x)d)XA
Discrete Math: Decide whether (p^q)r and (pr)^(qr) are logically equivalent using boolean algebra. Show work! Do NOT use truth table. We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
Discrete Math : Assume 'p' is true, 'q' is false, and 'r' is unknown. Determine the status of the given expressions: (q v r) <--> r q --> r
Discrete Math- Check my work and explain if I got anything wrong 7. Prove that the following formulas Fi and F2 are equivalent: F1:-(3x (p(x) (Fy (g(y) 1-r(x, y))))) F2: Vx (p(x) → (Vy (q(y) +r(x, y)))) Clearly label each equivalence used in your proof. 7. = x + 7 (pc) n/7ylfly) 170 (x,y)))) 7J x PC) = HX7 P05 = YG pux) v 7 (7y (q (y) 17 r(x, y))) 1 paq=1p uq = kx (7 p.) v (Vy...
How to do this problem for discrete math. Use the rules of inference to show that if V x (Ax) v α刈and V xứcAx) Λ α where the domains of all quantifiers are the same. Construct your argument by rearranging the following building blocks. ) → Rx)) are true, then V x("A(x) → A is also tr 1. We will show that if the premises are true, then (1A(a) → Pla) for every a. 2. Suppose -R(a) is true for...
Please help me understand the following question thank you so much Show the following equivalence using both truth tables and the laws of logic. In your laws of logic solution, justify each of your steps by stating which law you are using. P ↔ Q is equivalent to ¬P ↔ ¬Q.