Digital Fundamentals (11th Edition)
11th Edition
ISBN: 9780132737968
Author: Thomas L. Floyd
Publisher: PEARSON
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Textbook Question
Chapter 4, Problem 66P
The logic for segments b and c in Figure 4-53 produces LOW outputs to activate the segments. If a type of 7-segment display is used that requires a HIGH to activate a segment, modify the logic accordingly.
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The numbers A and B are 4 bits. Design the circuit that selects the smaller of these numbers and displays it on the 7-segment display using the necessary integrated circuits.
Design a combination circuit that allows to add two digits BCD 8421. The inputs and outputs will be displayed on 7-segment displays, design with a mix of multiplexers, decoders and demultiplexers, additional elements are allowed.
1. Design a combinational circuit that takes four inputs (Ē (the enable), A, B, and C), has four outputs (X, Y, Z, and EoS (the end of Sequence flag)) and
meets the following specifications.
1. If ABC = 111 then, regardless of the value of E, the end of sequence flag EoS = 1 else EoS = 0.
2.
If E' = 1 then XYZ = ABC.
3. If E' = 0 and ABC ‡ 111 then XYZ should be set to the code following the value of ABC in this list: 000, 100, 101, 001, 011, 010, 110, 111. For
example, if ABC = 010 then XYZ = 110. This is a type of Gray code sequence (A Gray code is an encoding of numbers so that adjacent numbers have
a single digit differing by 1)
4. If E' = 0 and ABC = 111, then XYZ may be set to anything (this is called a "don't care" and should be represented in the truth tables and K-maps
with an X.)
a.
Draw a truth table (with the operands in this order E', A, B, C, X, Y, Z, EOS) for this combinational circuit's function.
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Chapter 4 Solutions
Digital Fundamentals (11th Edition)
Ch. 4.1 - Prob. 1CUCh. 4.1 - Prob. 2CUCh. 4.1 - Prob. 3CUCh. 4.2 - Prob. 1CUCh. 4.2 - Apply the distributive law to the expression...Ch. 4.3 - Prob. 1CUCh. 4.4 - Replace the AND gates with OR gates and the OR...Ch. 4.4 - Construct a truth table for the circuit in...Ch. 4.5 - Simplify the following Boolean expressions:...Ch. 4.5 - Implement each expression in Question 1 as...
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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