Decoders Wilfrid Laurier University

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1 Decoders Wilfrid Laurier University Wilfrid Laurier University January 27, 2012

2

3 A decoder usually converts one type of input pattern into a corresponding output pattern.

4 A decoder usually converts one type of input pattern into a corresponding output pattern. In principle, virtually any combinational logic circuit could be thought of as some kind of decoder.

5 O7 I3 I2 I1 I0 O6 O5 O4 O3 O2 O1 Here s a generic decoder.

6

7 A common type of decoder is used to take a numeric input, and produce outputs which will drive some sort of display.

8 A common type of decoder is used to take a numeric input, and produce outputs which will drive some sort of display. A binary coded decimal, or BCD number, is simply a four bit value representing numbers from 0 to 9.

9 A common type of decoder is used to take a numeric input, and produce outputs which will drive some sort of display. A binary coded decimal, or BCD number, is simply a four bit value representing numbers from 0 to 9. (It s the same as hexadecimal, except that the combinations from A to F are not valid.)

10 A common type of decoder is used to take a numeric input, and produce outputs which will drive some sort of display. A binary coded decimal, or BCD number, is simply a four bit value representing numbers from 0 to 9. (It s the same as hexadecimal, except that the combinations from A to F are not valid.) A 7 segment display uses 7 LEDs in the shape of the number 8 to show any digit from 0 to 9, depending on which segments are lit.

11 A common type of decoder is used to take a numeric input, and produce outputs which will drive some sort of display. A binary coded decimal, or BCD number, is simply a four bit value representing numbers from 0 to 9. (It s the same as hexadecimal, except that the combinations from A to F are not valid.) A 7 segment display uses 7 LEDs in the shape of the number 8 to show any digit from 0 to 9, depending on which segments are lit. BCD to 7 segment conversion is a good example of the use of a decoder.

12 b I3 I2 I1 I0 a f g e d c Here s a BCD to 7 segment decoder, shown with a 7 segment display.

13 b I3 I2 I1 I0 a f g e d c Operation for the input number 0

14 b I3 I2 I1 I0 a f g e d c Operation for the input number 1

15 b I3 I2 I1 I0 a f g e d c Operation for the input number 2

16 b I3 I2 I1 I0 a f g e d c Operation for the input number 3

17 b I3 I2 I1 I0 a f g e d c Operation for the input number 4

18 b I3 I2 I1 I0 a f g e d c Operation for the input number 5

19 b I3 I2 I1 I0 a f g e d c Operation for the input number 6

20 b I3 I2 I1 I0 a f g e d c Operation for the input number 7

21 b I3 I2 I1 I0 a f g e d c Operation for the input number 8

22 b I3 I2 I1 I0 a f g e d c Operation for the input number 9

23 For a BCD to 7 segment decoder, hexadecimal inputs from A to F are not valid, so the behaviour in this example has not been specified.

24 For a BCD to 7 segment decoder, hexadecimal inputs from A to F are not valid, so the behaviour in this example has not been specified. There may be additional inputs on a decoder such as this to do things like turn all of the segments on or off for testing purposes.

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