DQuestion 1A circuit with two outputs is defined by the logic functions:fá!b!c+!b!d+!b!cd+abcdgalcd+abd+lacd+bc!dDerive a minimum-cost implementation of this circuit.What is the cost of your circuit?Question 2A circuit with two outputs is defined by the logic functions:f(a+b+c)(a+c+da+b+cXla+b+d)/(a+b+d)g= (a+b+cXla+b+!d)(b+c+d)(a+b+c+d)Derive a minimum-cost implementation of this circuit.What is the cost of your circuit?Question 3A circuit with two outputs is defined by the logic functions:f = alc+!ac+b!cdg=alc+lac+bcdDerive a minimum-cost implementation of this circuit.What is the cost of your circuit?

Minimum cost for logic circuits means that the lowest possible cost for the design and…

D D O Question 1 A circuit with two outputs is defined by the logic functions: fábic+bld+blcd+abcd galcd+abd+lacd+bcld Derive a minimum-cost implementation of this circuit. What is the cost of your circuit? Question 2 A circuit with two outputs is defined by the logic functions: f-(a+b+c)(a+c+da+b+cla+b+da+b+!d) g=(a+b+cXla+b+d)(b+c+d)(a+b+c+d) Derive a minimum-cost implementation of this circuit. What is the cost of your circuit? Question 3 A circuit with two outputs is defined by the logic functions: f=alc+lac+b!cd g=alc+lac+bcd Derive a minimum-cost implementation of this circuit. What is the cost of your circuit?

D D O Question 1 A circuit with two outputs is defined by the logic functions: fábic+bld+blcd+abcd galcd+abd+lacd+bcld Derive a minimum-cost implementation of this circuit. What is the cost of your circuit? Question 2 A circuit with two outputs is defined by the logic functions: f-(a+b+c)(a+c+da+b+cla+b+da+b+!d) g=(a+b+cXla+b+d)(b+c+d)(a+b+c+d) Derive a minimum-cost implementation of this circuit. What is the cost of your circuit? Question 3 A circuit with two outputs is defined by the logic functions: f=alc+lac+b!cd g=alc+lac+bcd Derive a minimum-cost implementation of this circuit. What is the cost of your circuit?

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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The output of a combinational circuit which implements a majority function F(x,y,z) is equal to 1 if more input variables are equal to 1 rather than 0. The output is O otherwise, e.g. F(1,1,0)=1, F(0,0,1)=0. Which of the following expressions represent the simplified expression for function F? F = xy + xz + yz OF= xz + xy F = x + zy + z OF = x e y e z
Task In your group, design and simulate a combinational logic circuit that consists of three or four inputs and at most three outputs. You are required to come up with your own problem and solution, which can by anything related to the environment, relationships, people, vehicles, machines, etc. You need to perform the following: > In your group, brainstorm a suitable problem to be solved > Devise a concise description of the problem > Draw a block diagram of the problem > Develop the truth table for the problem > Solve the minimum expression for the problem using K-Map Implement the logic circuit using basic gates > Realize your design using the Intel Quartus Prime software by schematic entry • Create a new project in Quartus II • Create a new Block Diagram/Schematic File and draw your circuit • Compile your design • Perform a timing simulation of your design > Verify that your system functions correctly Submission Each group will need to submit a report (at E-learning website) which…
Read the function f from the circuit in Figure 2.2. Which function is implemented by this circuit? & & & & В Figure 2.2: Combinational Circuit J: f = A+B f = Ã+B K: L: f = AB M: f = AB N: f = A©B O: f = A = B P: f = 0 Q: f =1 R: f = AB S: None of these
Which of the following logic functions is implemented by the given circuit? (Hint: build a truth table of this MUX) a) f(A,B,C,D) = Σm(2,5,9,10,11,12,13,15)b) f(A,B,C,D) = Σm(0,7,8,10,11,13,14,15)c) f(A,B,C,D) = Σm(3,4,9,10,11,12,13,15)d) f(A,B,C,D) = Σm(3,5,6,7,8,12,13,15)e) f(A,B,C,D) = Σm(1,6,9,10,11,12,14,15)
5. Consider the circuit below: A- B- C- a. Write the Boolean expression modeled by the circuit. Above. Use Boolean Algebra notation: A, (for not A); AB (for A and B), A + B (for A or B), A Ð B (A xor B), etc. b. Evaluate the output of each gate, including the final gate, given that A= 1, B=1 and C=1 Write your evaluation of each gate above each gate and include a screen shot
1a. Draw a circuit diagram using appropriate logic gates to implement a 3-bit comparator. Identifythe gates used in implementation and show its usage to compare two 3-bit words by writing thetruth table. b. Write the Boolean expression for the following 4 input circuit. Include sub-expressions foroutputs of each gate. c. Complete a truth table for the previous logic gate circuit in part b. d. Write the Boolean expression for the new circuit below. Then, simplify the following logic circuitusing the theorems in Boolean algebra. Show the steps clearly and specify the law used in eachstep. Finally draw the simplified circuit diagram.
Question 2: A combinational circuit has 4 inputs (A, B, C, D) and 1 output (F). ABCD represent a majority function. The output of the majority function is equal to 1 if the input variables have more 1's than O's, otherwise the output is 0. a. Construct the truth table of the required circuit. b. Implement the minimized expression of F using 3-level all NAND gate circuit. Implement a 2-1Multiplexer using three-state buffers.
The design of digital logic circuit requires the minimization of the Boolean function used to implement the digital logic circuit to reduce cost, power and space. Using Boolean algebra, minimize the expression given below: A+B°C + (A (B +C') Implement the minimized expression above by drawing its schematic diagram
combinational circuit has 3 inputs A, B, C and output F (A,B,C). F is true when (A is False and B is True), or (A is False and Cis True), or (A and B and C) are False, or (A and B and C are True). The function can be represented as F(A,B) = T M(4, 5, 6) a F(A,B) = E m(0, 1, 2, 3, 6, 7) b O F(A.B) = TT M(0, 1. 2. 3, 7) .c O %3D F(A,B) = E m(0, 1. 2. 6. 7) d O
Implement the logic function of Example 7-3 that is shown below using: F (U, V, W, X, Y, Z) = Em (0,4,9,16,20.21,24,30,37,40,42,46,49,52,56,58,62) 1- Four 2*1 MUX & one 4*1 MUX 2- Two 4*1 MUX & one 2*1 MUX
You may use an online link to draw the logic diagram: https://logic.ly/demo. Digital logic 1. 1. Draw the circuit for the following function: F-(A+B)(A+B')(A'+B). Then transform it using only NOR gates.
A combinational circuit has three inputs (C,1,,1o) and two outputs (01,00). The function is implemented as the following: If C = 0, then O,00 becomes I, 1o. If C = 1, then O,0, becomes (1,11)+1. For example, if C = 1 and 1, is 01, 0,0, becomes 10. Note that, if I, 1, is 11 and = 1, then the output value wraps around 00, without any overflow. %3D F Oo The Boolean expression for 01 and O0 and in sum of minterms form are: Select one: None of the above. Oo = E(2,3,4,5) Oc 01 = E(2,3,5,6) 0, = E(1,3,4,6) O01Σ (1,3,5,6) 00Σ( 2,3,4,5) O c. %3D 0 Σ(1,3,5,6) 0,-Σ(2,3,4,5)