6a. Given 3 inputs A, B and C define a boolean expression that is true when 2 or 3 inputs are TRUE using minterms and sum of products.
b. Use a Kmap to minimize the expression from 6A.
c. Draw out the Digital Logic Diagram for the expression from 6B.
Question 6 (a).
(b)
(c)
6a. Given 3 inputs A, B and C define a boolean expression that is true when 2 or 3 inputs are TRUE using minterms and sum of products. b. Use a Kmap to minimize the expression from 6A. c. Draw out the...
Question #3. For the sum of minterms Boolean expression F(A,B,C) = (0,1,6,7): a) Draw an implementation diagram for F using at least one 3x8 decoder b) Draw an implementation diagram for F using at least one 4xl multiplexer c) Draw an implementation diagram for F using at least one 2x1 multiplexer
The following logic function is given as a sum of minterms F(A,B,C,D) = Σ A,B,C,D(0,1,4,5,9,11,13,15) A) Find out SOP for the function. B) List all the input pair(s) where we can observe a timing hazard from the K-map. C) Draw the timing hazard diagram for one of the input pair. Assume ALL gate delays are equal. Identify the timing hazard from the diagram. D) Write the expression of an equivalent logic function in which the timing hazard(s) is/are eliminated.
Given the sum-of-minterms expression F = m4 + m6 + m7 + m12 + m14 + m15 a. Using letters, A-D for the bits, what sum of minterms does this expression represent? b. Plot the following in a Karnaugh Map. c. Using the karnaugh map, state the simplest sum-of-products expression. d. Using the karnaugh map, state the simplest product-of-sums expression. e. Demonstrate how you would use a 4-line to 16 line demultiplexer to implement the circuit. You may use either...
Question 3: For the logic circuit given below: A (3 pts) Write Boolean expression for output X. a. B b. (5 pts) Simplify above expression using Boolean Algebra (2 pts) Draw the digital circuit based on the simplified expression. C.
Derive the Boolean expression of a combination logic from the following truth table, where A, B, C are input variables and D is output. Draw the circuit diagram to implement it. Show your working steps. The full subtractor is a combinational circuit, which is used to perform subtraction of three input bits: the minuend X, subtrahend Y, and borrow in B_in. The full subtractor generates two outputs bits: the difference D and borrow out B_out. B_in is set when the...
5. Minimize the following Boolean functions into sum-of-products form using a K-map (b) F(a,b,c,d) = P(0,2,3,4,6,8,14,15) Letter P mean the Sum (d) F(a,b,c,d) = Q(3,4,5,6,7,9,11,12,13,14) Letter Q mean Pi
Use Boolean Algebra to simplify the following Boolean expressions to three (3) literals. Please write down the intermediate steps. 1). F11(x,y,z) = x'yz+xyz +x'y'Z+xy'Z+ xy'z 2). F12(x,y,z) = (y'+xyz')' Question 2 [2 points) Obtain the function expression of F2 from the logic diagram. Question 3 [3 points) Obtain the truth table of the following function and rewrite the function in Canonical POS (Product of Maxterms) format: F3(a,b,c) = (a'+c)(a+b+c') +a'bc' Question 4 (2 points) Convert the following function to Canonical...
2- a) Minimize the expression described using Karnaugh map, b) Draw the logic circuit. F(A,B,C,D)1,3,4,5,9,11,15) CD CD CD CD A B A B 12 13 15 14 AB 10 AB
6. The following is a truth table which contains 3 one-bit inputs (A, B and C) and one-bit output (Y). A B С Y 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 0 0 1 1 0 1 1 a) Write its Boolean expression in the Sum-of-Products form. (4 marks) b) Simplify the expression from part (a). (4 marks) c) Draw the gate diagram based on your answer to part...
[4] (a) For the given expression draw the TRUTH TABLE Y = A B C+A.BC (b) From the truth table derive the POS EXPRESSION and implement it by basic gates (c) Redraw the logic diagram by using only universal gates. [1+1+2=4]