Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
11th Edition
ISBN: 9780132737968
Author: Thomas L. Floyd
Publisher: PEARSON
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Chapter 4, Problem 16P

  1. Draw a logic circuit for the case where the output, ENABLE, is LOW only if the inputs, ASSERT and READY, are both HIGH.
  2. Draw a logic circuit for the case where the output, HOLD, is LOW only if the input, LOAD, is HIGH and the input, READY, is LOW.

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A5. Examine the logic circuit in Fig. 5.2, and write the Boolean expression for output G. A7. Construct the K-map to simplify G. G= CD 00 01 11 10 AB 00 01 11 10 A8. Write the Boolean expression of G by using the K-map. G= D A9. Draw the logic diagram of the simplified expression in the space provided below. Fig. 5.2 A6. Connect the circuit as shown in Fig. 5.2, set binary switches to each set of input values and record the corresponding outputs in Table 5.2. Table 5.2 A В D G A10. Construct the simplified expression by using only NAND gates. Design and draw the NAND gates connection diagram of simplified function 1 1 1 1 1 1 A11. Construct the circuit diagram obtained in A10 and set binary switches to each set of input values as in Table 5.2. 1 1 Does the circuit constructed in A10 give the same outputs of circuit in Fig. 5.2? 1 1 1 1 1 1 1 1 1 1 1
For the Boolean function: F = XY'Z+ X'Y’Z+W'XY + WX'Y + WXY Obtain the truth table of F. Draw the logic diagram, using the original Boolean expression. Use Boolean algebra to simplify the function to a minimum number of literals. Obtain the truth table of the function from the simplified expression and show that it is the same as the one in part (a). Draw the logic diagram from the simplified expression, and compare the total number of gates with the diagram of part (b).
We consider a circuit having four inputs and one output. The output has the value 1 if at least half of the inputs have the value 1. In this case, the circuit is a not-a-minority circuit. 1) Build a truth table for the circuit presented in the description above. 2) Using this truth table, find a Boolean expression which represents the same function, and by using Boolean algebra, simplify it as much as possible. 3) Verify the design of the circuit.

Chapter 4 Solutions

Digital Fundamentals (11th Edition)

Ch. 4.6 - Identify each of the following expressions as SOP,...Ch. 4.6 - Prob. 2CUCh. 4.6 - Convert each POS expression in Question 1 to...Ch. 4.7 - If a certain Boolean expression has a domain of...Ch. 4.7 - Prob. 2CUCh. 4.7 - Prob. 3CUCh. 4.8 - Prob. 1CUCh. 4.8 - Prob. 2CUCh. 4.8 - Prob. 3CUCh. 4.8 - Prob. 4CUCh. 4.9 - Lay out Karnaugh maps for three and four...Ch. 4.9 - Prob. 2CUCh. 4.9 - Prob. 3CUCh. 4.10 - What is the difference in mapping a POS expression...Ch. 4.10 - Prob. 2CUCh. 4.10 - Prob. 3CUCh. 4.11 - Prob. 1CUCh. 4.11 - Prob. 2CUCh. 4.12 - What are the advantages of Boolean logic...Ch. 4.12 - How does Boolean logic simplification benefit a...Ch. 4.12 - Name the three levels of abstraction for a...Ch. 4.12 - Prob. 1ECh. 4.12 - Prob. 2ECh. 4.12 - Prob. 3ECh. 4.12 - Prob. 4ECh. 4.12 - Prob. 5ECh. 4.12 - Prob. 6ECh. 4.12 - Prob. 7ECh. 4.12 - Prob. 8ECh. 4.12 - Prob. 9ECh. 4.12 - Prob. 10ECh. 4.12 - Show the logic for segment d.Ch. 4.12 - Show the logic for segment eCh. 4.12 - Prob. 13ECh. 4.12 - Prob. 14ECh. 4.12 - Prob. 15ECh. 4 - Variable, complement, and literal are all terms...Ch. 4 - Addition in Boolean algebra is equivalent to the...Ch. 4 - Prob. 3TFQCh. 4 - The commutative law, associative law, and...Ch. 4 - Prob. 5TFQCh. 4 - When a Boolean variable is multiplied by its...Ch. 4 - Prob. 7TFQCh. 4 - SOP means series of productsCh. 4 - Karnaugh maps can be used to simplify Boolean...Ch. 4 - A4-variable Karnaugh map has eight cells.Ch. 4 - VHDL is a type of hardware definition languageCh. 4 - A VHDL program consists of an entity and an...Ch. 4 - Prob. 1STCh. 4 - The Boolean expression A + B + C is a sum term a...Ch. 4 - The Boolean expression ABCD is a sunn term a...Ch. 4 - The domain of the expression ABCD+AB+CD+B A and D...Ch. 4 - Prob. 5STCh. 4 - Prob. 6STCh. 4 - Prob. 7STCh. 4 - Which one of the following is not a valid rule of...Ch. 4 - Which of the following rules states that if one...Ch. 4 - Prob. 10STCh. 4 - The Boolean expression X = AB + CD represents two...Ch. 4 - An example of a sum-of-products expression is...Ch. 4 - Prob. 13STCh. 4 - An example of a standard SOP expression is...Ch. 4 - Prob. 15STCh. 4 - Prob. 16STCh. 4 - Prob. 17STCh. 4 - VHDL is a type of programmable logic hardware...Ch. 4 - In VHDL, a port is a type of entity a type of...Ch. 4 - Using VDHL, a logic circuits inputs and outputs...Ch. 4 - Using Boolean notation, write an expression that...Ch. 4 - Write an expression that is a 1 only if all of its...Ch. 4 - Write an expression that is a 1 when one or more...Ch. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - Identify the Boolean rule(s) on which each of the...Ch. 4 - Prob. 9PCh. 4 - Prob. 10PCh. 4 - Prob. 11PCh. 4 - Write the Boolean expression for each of the logic...Ch. 4 - Write the Boolean expression for each of the logic...Ch. 4 - Draw the logic circuit represented by each of the...Ch. 4 - Draw the logic circuit represented by each...Ch. 4 - Draw a logic circuit for the case where the...Ch. 4 - Develop the truth table for each of the circuits...Ch. 4 - Construct a truth table for each of the following...Ch. 4 - Using Boolean algebra techniques, simplify the...Ch. 4 - Using Boolean algebra, simplify the following...Ch. 4 - Prob. 21PCh. 4 - Determine which of the logic circuits in Figure...Ch. 4 - Convert the following expressions to...Ch. 4 - Prob. 24PCh. 4 - Define the domain of each SOP expression in...Ch. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Develop a truth table for each of the SOP...Ch. 4 - Develop a truth table for each of the standard POS...Ch. 4 - Develop a truth table for each of the standard POS...Ch. 4 - For each truth table in Table 4-15 0, derive a...Ch. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - Prob. 41PCh. 4 - Expand each expression to a standard SOP form:...Ch. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - Prob. 45PCh. 4 - Use the Karnaugh map method to implement the...Ch. 4 - Solve Problem 46 for a situation in which the last...Ch. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - For the function specified in Table 4—16,...Ch. 4 - Determine the minimum POS expression for the...Ch. 4 - Prob. 52PCh. 4 - Prob. 53PCh. 4 - List the minterms in the expression...Ch. 4 - Create a table for the number of 1 s in the...Ch. 4 - Create a table of first level minterms for the...Ch. 4 - Create a table of second level minterms for the...Ch. 4 - Create a table of prime implicants for the...Ch. 4 - Determine the final reduced expression for the...Ch. 4 - Write a VHDL program for the logic circuit in...Ch. 4 - Prob. 61PCh. 4 - Prob. 62PCh. 4 - Explain the purpose of the invalid code detector.Ch. 4 - For segment c, how many fewer gates and inverters...Ch. 4 - Repeat Problem 64 for the logic for segments d...Ch. 4 - The logic for segments b and c in Figure 4-53...Ch. 4 - Redesign the logic for segment a in the Applied...Ch. 4 - Prob. 68PCh. 4 - Design the invalid code detector.Ch. 4 - Open file P04-70. For the specified fault, predict...Ch. 4 - Open file P04-71. For the specified fault, predict...Ch. 4 - Open file P04-72. For the observed behavior...

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