Question

In: Computer Science

An operation * is defined for two-valued variables a and b as follows: a*b = ab+a’b’

Let c = a*b. Determine which of the following identities are valid:

a = b*c
a*(bc) =1

Solutions

Expert Solution

(a)

( since )

( since and )

( since )

( since x + x' = 1 )

a = a

Hence it is true.

(b)

Hence, it is not true.

venereology answered 1 year ago

Next > < Previous

Related Solutions

Assume that an operation * is defined as follows: x * y = x' + y...

Assume that an operation * is defined as follows: x * y = x' + y Using Boolean algebra theorems and postulates (don’t use K-maps), check whether the operation * is associative or not?

The joint pdf of a two continuous random variables is given as follows: ??,? (?, ?)...

The joint pdf of a two continuous random variables is given as follows: ??,? (?, ?) = { ??? 0 < ? < 2, 0 < ? < 1 0 ??ℎ?????? 1) Find c. 2) Find the marginal PDFs of ? and ?. Make sure to write the ranges. Are these random variables independent? 3) Find ?(0 < ? < 1|0 < ? < 1) 4) What is ??|? (?|?). Make sure to write the range of ?.

The ‘Exclusive OR’ operation (also called XOR) between two propositions p and q is defined as...

The ‘Exclusive OR’ operation (also called XOR) between two propositions p and q is defined as follows: p ⊕ q = (p ∨ q) ∧ ¬(p ∧ q) Using laws of propositional logic prove the following: (i.) Exclusive OR is commutative, i.e., p ⊕ q ≡ q ⊕ p. (ii.) p ⊕ p is a contradiction. (iii.) Conjunction distributes over Exclusive OR, i.e, for any proposition r, r ∧ (p ⊕ q) ≡ (r ∧ p) ⊕ (r ∧ q)....

The ‘Exclusive OR’ operation (also called XOR) between two propositions p and q is defined as...

The ‘Exclusive OR’ operation (also called XOR) between two propositions p and q is defined as follows: p ⊕ q = (p ∨ q) ∧ ¬(p ∧ q) Using laws of propositional logic prove that conjunction distributes over Exclusive OR, i.e, for any proposition r, r ∧ (p ⊕ q) ≡ (r ∧ p) ⊕ (r ∧ q). Clearly state which law you are using in each step.

3. In the information below: two variables are defined, a regression equation is given, and one...

3. In the information below: two variables are defined, a regression equation is given, and one data point is given. Variable: Weight = Maximum weight capable of bench pressing (pounds) Variable: Training = Number of hours spent lifting weights a week Regression: Weight= 95 + 11.7(Training) Data point: An individual who trains 5 hours a week and can bench 152 pounds Give the value of the slope and interpret the value of the slope in context. Clearly label answer below. Give the value...

The member AB is supported at B by a cable and at A

The member AB is supported at B by a cable and at A by a smooth fixed square rod which fits loosely through the square hole of the collar. If F= {20i - 40j - 75k} lb, determine the x, y, and z components of the reaction at A and the tension in cable BC. (Note: possible reactions at Aare Ay, Ax, Mx, My, and Mz).

Two brass rods AB and BC, each of uniform diameter, will be brazed together at B...

Two brass rods AB and BC, each of uniform diameter, will be brazed together at B to form a nonuniform rod of total length L=110 m that will be suspended from a support at A as shown. Knowing that the density of brass is ρ=9000 kg/m3 and the diameter of AB is c=16 mm, Determine (a) the length of rod AB for which the maximum normal stress in ABC is minimum, (b) the corresponding value of the maximum normal stress....

The following reaction was monitored as a function of time: AB→A+B A plot of 1/[AB] versus...

The following reaction was monitored as a function of time: AB→A+B A plot of 1/[AB] versus time yields a straight line with slope 5.7×10−2 (M⋅s)−1 . Part A What is the value of the rate constant (k) for this reaction at this temperature? Express your answer using two significant figures. Part B Write the rate law for the reaction. Part C What is the half-life when the initial concentration is 0.59 M ? Express your answer using two significant figures....

DT: Donor's Blood Type O- O+ A- A+ B- B+ AB- AB+ P(RT) RT:Receiver's Blood Type...

DT: Donor's Blood Type O- O+ A- A+ B- B+ AB- AB+ P(RT) RT:Receiver's Blood Type O- 1 0 0 0 0 0 0 0 7.0% O+ 1 1 0 0 0 0 0 0 37.0% A- 1 0 1 0 0 0 0 0 6.0% A+ 1 1 1 1 0 0 0 0 36.0% B- 1 0 0 0 1 0 0 0 2.0% B+ 1 1 0 0 1 1 0 0 8.0% AB- 1 0 1...

A fair coin is tossed two times, and the events A and B are defined as...

A fair coin is tossed two times, and the events A and B are defined as shown below. Complete parts a through d. A: {At most one tail is observed} B: {The number of tails observed is even} a. Identify the sample points in the events A, B, AunionB, Upper A Superscript c, and AintersectB. Identify the sample points in the event A. Choose the correct answer below. A. A:{TT comma HH} B. A:{TT} C. A:{HH comma HT comma TH}...

Subjects