3.68 A digital circuit is required to display a digital signal on a bar-graph LED, similar to a sound meter on a stereo. You know that the input to your circuit has values from 0 to 3 coded in binary format. You need to indicate the value in a bar graph where pro- gressively more LEDs turn on as the input number gets higher, as shown in Fig- ure 3.120. When the highest number is reached, all LEDs are on. a. Write the truth table for the circuit required to drive the LEDs. Assume that the inputs are called D₁ and Do and the outputs are Y₁, Y2, and Y3, where Y₁ is the low- est LED in the diagram in Figure 3.120 and Y3 is the highest. Assume that the out- puts are active-HIGH. b. Write and simplify the Boolean equations for the three outputs. Draw a logic cir- cuit to show how the simplified functions can be implemented. D₁ Do= 00 01 10 11

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3.68
A digital circuit is required to display a digital signal on a bar-graph LED, similar to
a sound meter on a stereo. You know that the input to your circuit has values from 0
to 3 coded in binary format. You need to indicate the value in a bar graph where pro-
gressively more LEDs turn on as the input number gets higher, as shown in Fig-
ure 3.120. When the highest number is reached, all LEDs are on.
a. Write the truth table for the circuit required to drive the LEDs. Assume that the
inputs are called D₁ and Do and the outputs are Y₁, Y₂, and Y3, where Y₁ is the low-
est LED in the diagram in Figure 3.120 and Y3 is the highest. Assume that the out-
puts are active-HIGH.
b. Write and simplify the Boolean equations for the three outputs. Draw a logic cir-
cuit to show how the simplified functions can be implemented.
Y₂
D₁ Do = 00
FIGURE 3.120 Problem 3.68: Bar-Graph LED
01
10 11
Transcribed Image Text:3.68 A digital circuit is required to display a digital signal on a bar-graph LED, similar to a sound meter on a stereo. You know that the input to your circuit has values from 0 to 3 coded in binary format. You need to indicate the value in a bar graph where pro- gressively more LEDs turn on as the input number gets higher, as shown in Fig- ure 3.120. When the highest number is reached, all LEDs are on. a. Write the truth table for the circuit required to drive the LEDs. Assume that the inputs are called D₁ and Do and the outputs are Y₁, Y₂, and Y3, where Y₁ is the low- est LED in the diagram in Figure 3.120 and Y3 is the highest. Assume that the out- puts are active-HIGH. b. Write and simplify the Boolean equations for the three outputs. Draw a logic cir- cuit to show how the simplified functions can be implemented. Y₂ D₁ Do = 00 FIGURE 3.120 Problem 3.68: Bar-Graph LED 01 10 11
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