An ABCD-to-seven-segment decoder is a combinational circuit that converts a decimal digit in BCD to an appropriate code for the selection of segments in an indicator used to display the decimal digit in a familiar form. The seven outputs of the decoder (a, b, c, d, e, f, g) select the corresponding segments in the display, as shown in Fig (a). The numeric display chosen to represent the decimal digit is shown in Fig (b). Using a truth table and Karnaugh maps, design the BCD-to-seven-segment decoder using a minimum number of gates. The six invalid combinations should result in a blank display.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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mes New... v 14
SI U vab
X₁₂
a
8
ν Α' Α
x²
d
Aav
AA
b
58
(a) Segment designation
€
== Ev
Z
T
¶
An ABCD-to-seven-segment decoder is a combinational circuit that converts a decimal digit in BCD to
an appropriate code for the selection of segments in an indicator used to display the decimal digit in a
familiar form. The seven outputs of the decoder (a, b, c, d, e, f, g) select the corresponding segments in
the display, as shown in Fig (a). The numeric display chosen to represent the decimal digit is shown in
Fig (b). Using a truth table and Karnaugh maps, design the BCD-to-seven-segment decoder using a
minimum number of gates. The six invalid combinations should result in a blank display.
H
A
Styles Styles
Pane
Dictate
3456 789
(b) Numerical designation for display
1) Using the truth table, find the sum-of-minterms for the function for each segment.
Sensitivity
2) Using a Karnaugh map, obtain a minimum sum-of-products form for each segment
Transcribed Image Text:mes New... v 14 SI U vab X₁₂ a 8 ν Α' Α x² d Aav AA b 58 (a) Segment designation € == Ev Z T ¶ An ABCD-to-seven-segment decoder is a combinational circuit that converts a decimal digit in BCD to an appropriate code for the selection of segments in an indicator used to display the decimal digit in a familiar form. The seven outputs of the decoder (a, b, c, d, e, f, g) select the corresponding segments in the display, as shown in Fig (a). The numeric display chosen to represent the decimal digit is shown in Fig (b). Using a truth table and Karnaugh maps, design the BCD-to-seven-segment decoder using a minimum number of gates. The six invalid combinations should result in a blank display. H A Styles Styles Pane Dictate 3456 789 (b) Numerical designation for display 1) Using the truth table, find the sum-of-minterms for the function for each segment. Sensitivity 2) Using a Karnaugh map, obtain a minimum sum-of-products form for each segment
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