Digital Fundamentals
11th Edition
ISBN: 9780133514896
Author: Floyd
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 6ST
A pulse is applied to each input of a 2-input NOR gate. One pulse goes HIGH at t = 0 and goes back LOW at t = 1 ms. The other pulse goes HIGH at t = 0.8 ms and goes back LOW at t = 3 ms. The output pulse can be described as follows:
- It goes LOW at t = 0 and back HIGH at t = 3ms.
- It goes LOW at t = 0.8 ms and back HIGH at t = 3ms.
- It goes LOW at t = 0.8 ms and back HIGH at t = 1ms.
- It goes HIGH at t = 0.8 ms and back LOW at t = 1ms.
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Given a 4-bit signed integer, design a circuit that outputs its absolute value. You can assume that the input will always have a valid output.
(a) Draw a logic diagram of this circuit. You may use 4-bit half adder(s), 2x1 4-bit multiplexer(s), and any logic gate(s) in your design.
(b) With the following Verilog code, implement your design above in Verilog.
module half_adder (input [3:0] a, input [3:0] b, output [3:0] s);
assign s = a + b;
endmodule
module mux(input [3:0] D0, input [3:0] D1, input S, output reg [3:0] O); always @(*) begin
if (S == 0)
O = D0;
else if (S == 1)
O = D1;
else O = 4’bx;
end
endmodule
Use muxes to implement various gates. In each circuit, draw the specified number of 2:1 muxes and implement the given boolean expression. A mux input can be A, B, 0, 1, or the output of another device (e.g., another mux or a decoder). Be sure to label the S, 0, and 1 inputs of every mux.
a. Use one 2:1 mux to implement NOT A (i.e. A')
b. Use one 2:1 mux to implement A AND B (i.e. AB)
c. Use one 2:1 mux to implement A OR B (i.e. A+B)
"Design a combinational circuit defined by the Boolean function F(X,Y,Z) = (X'+Y)(X'+Z')(X'+Y'+Z), using a decoder and external gate/s. In order to implement this, the size of the decoder should be and we need to include and external gate."
Chapter 3 Solutions
Digital Fundamentals
Ch. 3.1 - When a 1 is on the input of an inverter, what is...Ch. 3.1 - An active-HIGH pulse (HIGH level when asserted,...Ch. 3.2 - When is the output of an AND gate HIGH?Ch. 3.2 - When is the output of an AND gate LOW?Ch. 3.2 - Describe the truth table for a 5-input AND gate.Ch. 3.3 - When is the output of an OR gate HIGH?Ch. 3.3 - When is the output of an OR gate LOW?Ch. 3.3 - Describe the truth table for a 3-input OR gate.Ch. 3.4 - When is the output of a NAND gate LOW?Ch. 3.4 - When is the output of a NAND gate HIGH?
Ch. 3.4 - Describe the functional differences between a NAND...Ch. 3.4 - Write the output expression for a NAND gate with...Ch. 3.5 - When is the output of a NOR gate HIGH?Ch. 3.5 - When is the output of a NOR gate LOW?Ch. 3.5 - Describe the functional difference between a NOR...Ch. 3.5 - Write the output expression for a 3-input NOR with...Ch. 3.6 - When is the output of an XOR gate HIGH?Ch. 3.6 - When is the output of an XNOR gate HIGH?Ch. 3.6 - How can you use an XOR gate to detect when two...Ch. 3.7 - List six process technologies used for...Ch. 3.7 - What does the term volatile mean in relation to...Ch. 3.7 - What are two design entry methods for programming...Ch. 3.7 - Prob. 4CUCh. 3.7 - Write a VHDL description of a 3-input NOR gate,Ch. 3.7 - Write a VHDL description of an XOR gate.Ch. 3.8 - How is fixed-function logic different than PLD...Ch. 3.8 - Prob. 2CUCh. 3.8 - Identify the following IC logic designators: LS HC...Ch. 3.8 - Prob. 4CUCh. 3.8 - What does the term hex inverter mean? What does...Ch. 3.8 - A positive pulse is applied to an inverter input....Ch. 3.8 - A certain gate has a propagation delay time of 6...Ch. 3.8 - Prob. 8CUCh. 3.8 - Prob. 9CUCh. 3.8 - Prob. 10CUCh. 3.9 - Prob. 1CUCh. 3.9 - If two different input waveforms are applied to a...Ch. 3.9 - Prob. 3CUCh. 3 - An inverter performs the NOR operation.Ch. 3 - An AND gate can have only two inputsCh. 3 - If any input to an OR is 1, the output is 1.Ch. 3 - If all inputs to an AND gate are 1, the output is...Ch. 3 - A NAND gate has an output that is opposite the...Ch. 3 - A NOR gate can be considered as an OR gate...Ch. 3 - The output of an exclusive-OR is 0 if the inputs...Ch. 3 - Prob. 8TFQCh. 3 - Once programmed, PLD logic can be changed.Ch. 3 - Fan-out is the number of similar gates that a...Ch. 3 - When the input to an inverter is HIGH (1), the...Ch. 3 - An inverter performs an operation known as...Ch. 3 - The output of an AND gate with inputs A, B, and C...Ch. 3 - The output of an OR gate with inputs A, B, and C...Ch. 3 - A pulse is applied to each input of a 2-input NAND...Ch. 3 - A pulse is applied to each input of a 2-input NOR...Ch. 3 - A pulse is applied to each input of an...Ch. 3 - Prob. 8STCh. 3 - The purpose of a programmable link in an AND array...Ch. 3 - The term OTP means open test point one-time...Ch. 3 - Prob. 11STCh. 3 - Prob. 12STCh. 3 - Two ways to enter a logic design using PLD...Ch. 3 - Prob. 14STCh. 3 - In-system programming of a PLD typically utilizes...Ch. 3 - To measure the period of a pulse waveform, you...Ch. 3 - Prob. 17STCh. 3 - The input waveform shown in Figure 3-76 is applied...Ch. 3 - A combination of inverters is shown in Figure...Ch. 3 - If the waveform in Figure 3-76 is applied to point...Ch. 3 - Draw the rectangular outline symbol for a 4-input...Ch. 3 - Determine the output, X, for a 2-input AND gate...Ch. 3 - Repeat problem 5 for the waveforms in Figure 3-79Ch. 3 - The input wave forms applied to a 3-input AND gate...Ch. 3 - The input waveforms applied to a 4-input AND gate...Ch. 3 - Draw the rectangular outline symbol for a 3-input...Ch. 3 - Write the expression for a 5-input OR gate with...Ch. 3 - Determine the output for a 2-input OR gate when...Ch. 3 - Repeat Problem 7 for a 3-input OR gate.Ch. 3 - Repeat Problem 8 for a 4-input OR gate.Ch. 3 - For the five input waveforms in Figure 3-8219,...Ch. 3 - Draw the rectangular outline symbol for a 4-input...Ch. 3 - Show the truth table for a 3-input OR gate.Ch. 3 - For the set of input waveforms in Figure 3-83,...Ch. 3 - Determine the gate output for the input waveforms...Ch. 3 - Determine the output waveform in Figure 3-8513Ch. 3 - As you have learned, the two logic symbols shown...Ch. 3 - Repeat Problem 17 for a 2-input NOR gate.Ch. 3 - Determine the output waveform in Figure 3-87 and...Ch. 3 - Repeat Problem 19 for a 4-input NOR gate.Ch. 3 - The NAND and the negative-OR symbols represent...Ch. 3 - How does an exclusive-OR gate differ from an OR...Ch. 3 - Repeat Problem 17 for an exclusive-OR gate.Ch. 3 - Repeat Problem 17 for an exclusive-NOR gateCh. 3 - Determine the output of an exclusive-OR gate for...Ch. 3 - In the simple programmed AND array with...Ch. 3 - Determine by row and column number which fusible...Ch. 3 - Describe a 4-input AND gate using VHDL.Ch. 3 - Describe a 5-input NOR gate using VHDLCh. 3 - In the comparison of certain logic devices, it is...Ch. 3 - Prob. 34PCh. 3 - Determine tPLHandtPHL from the oscilloscope...Ch. 3 - Prob. 36PCh. 3 - If a logic gate operates on a dc supply voltage of...Ch. 3 - The variable ICCH represents the dc supply current...Ch. 3 - Examine the conditions indicated in Figure 3-92,...Ch. 3 - Determine the faulty gates in Figure 3-93 by...Ch. 3 - Using an oscilloscope, you make the observations...Ch. 3 - Prob. 42PCh. 3 - Every time the ignition switch is turned on in the...Ch. 3 - What failure(s) would you suspect if the output of...Ch. 3 - Modify the frequency counter in Figure 3-16 to...Ch. 3 - Prob. 46PCh. 3 - Design a circuit to fit in the beige block of...Ch. 3 - Modify the logic circuit for the intrusion alarm...Ch. 3 - Further modify the logic circuit from Problem 48...Ch. 3 - Sensors are used to monitor the pressure and the...Ch. 3 - In a certain automated manufacturing process,...Ch. 3 - Open file P03-52. For the specified fault, predict...Ch. 3 - Open file P03-53. For the specified fault, predict...Ch. 3 - Open file P03-54. For the observed behavior...Ch. 3 - Open file P03-55. For the observed behavior...
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