Bissoy.com
Doctors Medicines MCQs Q&A

Given f(w, x, y, z) = ∑m (0, 1, 2, 3, 7, 8, 10) + ∑d (5, 6, 11, 15), where d represents the don’t-care condition in Karnaugh maps. Which of the following is a minimum product-of-sums (POS) form of f(w, x, y, z)?

Given f(w, x, y, z) = ∑m (0, 1, 2, 3, 7, 8, 10) + ∑d (5, 6, 11, 15), where d represents the don’t-care condition in Karnaugh maps. Which of the following is a minimum product-of-sums (POS) form of f(w, x, y, z)? Correct Answer f = (w̅  + z̅ )(x̅  + z)

Concept:

In SOP (sum of product) form, a min term is represented by 1.

In POS (product of sum) form, a max term is represented by 0.

Sum of product: (SOP)

f(w, x, y, z) = ∑m (0, 1, 2, 3, 7, 8, 10) + ∑d (5, 6, 11, 15)

Product of sum: (P0S)

f(w, x, y, z) = Π (4, 9, 12, 13, 14)  + ∑d (5, 6, 11, 15),

Diagram:

K-map from this expression is:

f(x, y, w, z) = (w’ + z’) (x’ + z)

Related Questions

A stack is implemented with an array of ‘A [0..N – 1]’ and a variable ‘pos’. The push and pop operations are defined by the following code. push(x)                 A[pos] ← x                 pos ← pos – 1 end push pop( )                 pos ← pos + 1                 return A[pos] end pop Which of the following will initialize an empty stack with capacity N for the above implementation?
User level threads are threads that are visible to the programmer and are unknown to the kernel. The operating system kernel supports and manages kernel level threads. Three different types of models relate user and kernel level threads. Which of the following statements is/are true ? (a) (i) The Many - to - one model maps many user threads to one kernel thread (ii) The one - to - one model maps one user thread to one kernel thread (iii) The many - to - many model maps many user threads to smaller or equal kernel threads (b) (i) Many - to - one model maps many kernel threads to one user thread (ii) One - to - one model maps one kernel thread to one user thread (iii) Many - to- many model maps many kernel threads to smaller or equal user threads
Which of the following statements are true/false?
1. A minimum rate of wages for the time spent by employees for the production of output is minimum time rate.
2. Minimum piece rate is the rate based on the quantity of the output employees have produced.
3. The guaranteed time rate is a minimum rate of remuneration to apply in the case of employees employed on piece work for the purpose of securing to such employees a minimum rate of wages on a time work basis.
4. A minimum rate of remuneration to apply in the case of employees employed on piece work for the purpose of securing to such employees a minimum rate of wages on a time work basis is overtime rate.
Which of the following functions implements the Karnaugh map shown below? ‘X’ being don’t care condition. CD AB 00 01 11 10 00 0 0 1 0 01 X X 1 X 11 0 1 1 0 10 0 1 1 0
Sateja took her four grandchildren for a car ride and they visited six junctions. When she asked each of them to draw road maps that they used during their ride, they produced the following maps though all did not show exact relative positions of road connections. If only three maps are correct, then select the map with incorrect connections.
Each of us has many, many P. divided into two main categories: maps of the way               Q. maps in our head, which can be  R. things are, or realities, and maps of the S. way things should be, or values The correct sequence should be
WisePOSGo - a POS device (Point of Sales swiping machine) (Phone + PoS machine) that processes business payments, has been launched by which of the following?
পিতা ও পুত্রের বয়সের অনুপাত ১১ঃ ৪ । পুত্রের বয়স ১৬ বছর হলে পিতার বয়স কত?
What is the minimal form of the Karnaugh map shown below? Assume that X denotes a don’t care term
In the following figure, square represents the people who use the product of Colorbar, the triangle represents the people who use products of NYX, the circle represents people who use products of M.A.C., the rectangle represents people who use products of Maybelline and semi-circle represents the people who use the products of Lakme. Which set of letter(s) represents people who use more than one product?