The term W(X + YZ) can be converted into POS form by applying which law? The commutative law of addition and multiplication specifies the following: Determine the binary values of the variable for which the following default POS expression is 0. In mathematics, commutative law is one of the two laws relating to the numerical operations of addition and multiplication, symbolically given as a + b = b + a and ab = ba. It follows from these laws that any finite sum or product is unchanged by rearranging its terms or factors. While commutativity is valid for many systems, such as real or complex numbers, there are other systems, such as the n × n matrix system or the quaternion system, in which the commutativity of multiplication is invalid. The scalar multiplication of two vectors (to obtain the so-called point product) is commutative (i.e. a·b = b·a), but vector multiplication (to obtain the cross product) is not (i.e. a × b = −b × a). The commutative law does not necessarily apply to the multiplication of conditionally convergent series. See also Associations Act; Distributive law. Which of the following examples expresses the commutative law of multiplication? 1.
Which statement below best describes a Karnaugh card? a) It is simply a rearranged truth table b) Karnaugh map eliminates the need for NAND and NOR gates c) Variable additions can be eliminated using Karnaugh maps d) A Karnaugh map can be used to replace Boolean rules See answer 4. The observation that a blown GOLD entrance door is interchangeable with an AND bubble exit door is called ____ Which of the following exactly represent the two best methods for simplifying logic circuits? (a) Actual evaluation of circuit trial and error and waveform analysis (b) Karnaugh mapping and circuit waveform analysis (c) Boolean algebra and Karnaugh mapping (d) Boolean algebra and actual evaluation of circuit trial and error See answer 5. The systematic reduction of logic circuits is carried out by _____ 11. Which of the following is an important characteristic of the sum of products form of expression? a) All logic circuits are reduced to nothing more than simple AND and OR operations b) Delay times are significantly reduced compared to other forms c) No signal can pass more than two doors, without inverters d) The maximum number of doors that a signal must pass through is reduced by a factor of two See answer 6. Each entry “1” in a K-map square represents ______ The loop on a K map always results in the elimination of _______ (a) variables in the loop that appear only in their completed form (b) variables that remain unchanged in the loop (c) variables in the loop that appear in complementary and uncompleted form (d) variables in the loop; which appear only in their uncompleted form Show answer ANS: C – AB = BA No answer description available for this question. 3. The Boolean expression Y = (AB)` is logically equivalent to which single door? a) NAND b) NOR c) AND (d) OR DISPLAY THE RESPONSE.
