1. A combinational circuit with two inputs X, Y and Z, and three outputs, A, B and C. when the binary input is 0, 1, 2, 3, the binary output is two greater than the input. When the binary input is 4, 5, 6 or 7, the binary output is three less than the input. a) Obtain the truth table. b) Find the simplified output function in sum of products. c) Draw the final combinational logic circuit?

Electric Motor Control
10th Edition
ISBN:9781133702818
Author:Herman
Publisher:Herman
Chapter22: Sequence Control
Section: Chapter Questions
Problem 6SQ: Draw a symbol for a solid-state logic element AND.
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1. A combinational circuit with two inputs X, Y and Z, and three outputs, A,
B and C. when the binary input is 0, 1, 2, 3, the binary output is two
greater than the input. When the binary input is 4, 5, 6 or 7, the binary
output is three less than the input.
a) Obtain the truth table.
b) Find the simplified output function in sum of products.
c) Draw the final combinational logic circuit?
2.
Figure 4-66 shows a diagram for an automobile alarm circuit used to
detect certain undesirable conditions. The three switches are used to
Door
Open
osed
Alarm
Ignition
Logic
circuit
ON
OFF
Lights
ON
OFF
indicate the status of the door by the driver's seat, the ignition, and
the headlights, respectively. Design the logic circuit with these three
switches as inputs so that the alarm will be activated whenever either
of the following conditions exists:
• The headlights are on while the ignition is off.
• The door is open while the ignition is on.
Transcribed Image Text:1. A combinational circuit with two inputs X, Y and Z, and three outputs, A, B and C. when the binary input is 0, 1, 2, 3, the binary output is two greater than the input. When the binary input is 4, 5, 6 or 7, the binary output is three less than the input. a) Obtain the truth table. b) Find the simplified output function in sum of products. c) Draw the final combinational logic circuit? 2. Figure 4-66 shows a diagram for an automobile alarm circuit used to detect certain undesirable conditions. The three switches are used to Door Open osed Alarm Ignition Logic circuit ON OFF Lights ON OFF indicate the status of the door by the driver's seat, the ignition, and the headlights, respectively. Design the logic circuit with these three switches as inputs so that the alarm will be activated whenever either of the following conditions exists: • The headlights are on while the ignition is off. • The door is open while the ignition is on.
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