Please can you help me And solve this problem I hope it includes a solution the k-map and logic circuit diagram

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Please can you help me And solve this problem I hope it includes a solution the k-map and logic circuit diagram
Table 2
BCD
ABCD
Dec.
Outputs
a bedefg
0 0
3
4
0 1
0 1
6.
7
8
100 1
+5V
16
S47 Ohm
47
dot
BI/RBO
So RBI
L3o LT
4
Gb14
15
CA
14
9
13.
10,
8.
7.
D
ob10
b10
input
from
switches
2
11.
1.
B
A
Bb12
A b13
a
A
18
BCD-to-Seven Segment Decoder and 7-segment display
Note: In an actual 7-segment display the dot is on the left
28
Transcribed Image Text:Table 2 BCD ABCD Dec. Outputs a bedefg 0 0 3 4 0 1 0 1 6. 7 8 100 1 +5V 16 S47 Ohm 47 dot BI/RBO So RBI L3o LT 4 Gb14 15 CA 14 9 13. 10, 8. 7. D ob10 b10 input from switches 2 11. 1. B A Bb12 A b13 a A 18 BCD-to-Seven Segment Decoder and 7-segment display Note: In an actual 7-segment display the dot is on the left 28
A decoder is a combinational circuit that converts binary information from n
input lines to a maximum of 2" output lines. The input to the decoder is a BCD
code and the outputs of the systems are the seven segments a, b, c, d, e, f, and g.
For further information and pin connections, consult the specification sheet for
decoder and 7-segment units.
First design a combinational circuit which would simulate the decoder function
for only the segment "a", of the display. This can be done in the following
steps:
a) Write down the truth table with 4 inputs and 7 outputs (Table 2)
b) For only the output "a", obtain a minimum logic function. Realize
this function using NAND gates and inverters only. For example if
decimal 9 is to be displayed a, b, c, d, f, g must be 0 and the others
must be 1 (For common anode type display units), if decimal 5 is to
be displayed then a, f, g, c, d must be 0 and the others must be 1.
c) Connect the output "a" of your circuit to appropriate input of 7-
segment display unit. By applying BCD codes verify the displayed
decimal digits for that segment for "a" of the display.
d) Replace your circuit by a decoder IC 7447 for all of the seven
segments. Observe the display and record the segments that will light
up for invalid inputs sequence.
e) Comment on the design if you don't want to see any digit for invalid
input sequence.
27
Transcribed Image Text:A decoder is a combinational circuit that converts binary information from n input lines to a maximum of 2" output lines. The input to the decoder is a BCD code and the outputs of the systems are the seven segments a, b, c, d, e, f, and g. For further information and pin connections, consult the specification sheet for decoder and 7-segment units. First design a combinational circuit which would simulate the decoder function for only the segment "a", of the display. This can be done in the following steps: a) Write down the truth table with 4 inputs and 7 outputs (Table 2) b) For only the output "a", obtain a minimum logic function. Realize this function using NAND gates and inverters only. For example if decimal 9 is to be displayed a, b, c, d, f, g must be 0 and the others must be 1 (For common anode type display units), if decimal 5 is to be displayed then a, f, g, c, d must be 0 and the others must be 1. c) Connect the output "a" of your circuit to appropriate input of 7- segment display unit. By applying BCD codes verify the displayed decimal digits for that segment for "a" of the display. d) Replace your circuit by a decoder IC 7447 for all of the seven segments. Observe the display and record the segments that will light up for invalid inputs sequence. e) Comment on the design if you don't want to see any digit for invalid input sequence. 27
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