Design a controller to display an electronic nine-dotted die as shown below. A set of these could be used to display decimal numbers and some mathematical equations. The inputs to the controller represent a 4-bit number, W, X, Y, Z, which indicates what is to be displayed. There are nine outputs, A, B, C, D, E, F, G, H, J, one for each of the dots. It requires 1 to light the display. The diagram below shows each of the inputs and the display that results. A black dot indicates that the bit is lit; a circle indicates not lit. Note that 0 lights none of the lights; 9 lights all of them. 0101 1010 0001 0110 1011 1100 0010 011 decimal poine 011 1000 1101 Other combinations 0100 1001 (1110, 1111) wil nover occur. OO. •o 0 o O 000 .. •o • 0 . ... ... .. o0. o o O00 o .00 . OO O0o o O o O00 O00 0 00
Design a controller to display an electronic nine-dotted die as shown below. A set of these could be used to display decimal numbers and some mathematical equations. The inputs to the controller represent a 4-bit number, W, X, Y, Z, which indicates what is to be displayed. There are nine outputs, A, B, C, D, E, F, G, H, J, one for each of the dots. It requires 1 to light the display. The diagram below shows each of the inputs and the display that results. A black dot indicates that the bit is lit; a circle indicates not lit. Note that 0 lights none of the lights; 9 lights all of them. 0101 1010 0001 0110 1011 1100 0010 011 decimal poine 011 1000 1101 Other combinations 0100 1001 (1110, 1111) wil nover occur. OO. •o 0 o O 000 .. •o • 0 . ... ... .. o0. o o O00 o .00 . OO O0o o O o O00 O00 0 00
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Question
Questions:
1. Show the truth table for the controller
2. Simplify the logic expression using K-map
3. Draw the logic diagram

Transcribed Image Text:Design a controller to display an electronic nine-dotted die as shown below. A set of these
could be used to display decimal numbers and some mathematical equations.
The inputs to the controller represent a 4-bit number, W, X, Y, Z, which indicates
what is to be displayed. There are nine outputs, A, B, C, D, E, F, G, H, J, one for each of the
dots. It requires 1 to light the display.
The diagram below shows each of the inputs and the display that results. A black dot
indicates that the bit is lit; a circle indicates not lit. Note that 0 lights none of the lights; 9
lights all of them.
0101
1010
0001
0110
1011
1100
0010
011
decimal
poine
011
1000
1101
Other combinations
0100
1001
(1110, 1111)
wil nover occur.
•o 0 o O
000
..
•o • 0 .
...
...
..
o0. o o
O00 o
.00 . OO
O0o o O o
O00
O00
0 00
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