Decoder for digital electronics
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A decoder is a logic circuit that takes a binary input and activates only one output corresponding to the input number. It has N input lines to handle N-bit codes and 2^N output lines. A decoder uses AND gates as the basic decoding element, producing a HIGH output only when all inputs are HIGH. For example, a 4-bit BCD-to-7-segment decoder takes a 4-bit BCD coded input and outputs the correct 7-bit code to light the appropriate segments on a 7-segment display to display the corresponding decimal number.
Decoder for digital electronics
- 2. •A decoder is a logic circuit that accepts a set of inputs that represents a binary number and activates only the output that corresponds to the input number. •In other words, a decoder circuit looks at its inputs, determines which binary number is present there, and activates the one output that corresponds to that number ; all other outputs remain inactive 2
- 3. In its general form, a decoder has N input lines to handle N bits and form one to 2 N output lines to indicate the presence of one or more N-bit combinations. The basic binary function •An AND gate can be used as the basic decoding element because it produces a HIGH output only when all inputs are HIGH Refer next slide for example 3
- 5. Binary decoder 2-bit decoder 3-bit decoder BCD-to-decimal decoder BCD-to-Seven-Segment Decoder
- 6. Binary decoder The output is 1 only when: A0 = 1 A2 = 0 A3 = 0 A4 = 1 This is only one of an infinite number of examples
- 10. Specification Digital readouts on many digital products often use LED seven-segment displays. Each digit is created by lighting the appropriate segments. The segments are labeled a,b,c,d,e,f,g The decoder takes a BCD input and outputs the correct code for the seven-segment display. 9/15/09 - L12 Combinational Copyright 2009 - Joanne DeGroat, Logic Design ECE, OSU 10
- 11. Input: A 4-bit binary value that is a BCD coded input. Outputs: 7 bits, a through g for each of the segments of the display. Operation: Decode the input to activate the correct segments. 9/15/09 - L12 Combinational Copyright 2009 - Joanne DeGroat, Logic Design ECE, OSU 11
- 12. Step 2 (Formulation) BCD Input 7 Segment Decoder Decimal A B C D a b c d e f g 0 0 0 0 0 1 1 1 1 1 1 0 1 0 0 0 1 0 1 1 0 0 0 0 2 0 0 1 0 1 1 0 1 1 0 1 3 0 0 1 1 1 1 1 1 0 0 1 Invalid BCD 4 0 1 0 0 0 1 1 0 0 1 1 codes 5 0 1 0 1 1 0 1 1 0 1 1 = No Light 6 0 1 1 0 1 0 1 1 1 1 1 7 0 1 1 1 1 1 1 0 0 0 0 8 1 0 0 0 1 1 1 1 1 1 1 9 1 0 0 1 1 1 1 0 0 1 1 10-15 All Other Inputs 0 0 0 0 0 0 0 Ahmad Almulhem, KFUPM 2010
- 13. Step 3 (Optimization) a b c d e f g Ahmad Almulhem, KFUPM 2010
- 14. Step 3 (Optimization) (cont.) a = A’C + A’BD + AB’C’ + B’C’D’ b = A’B’ + A’C’D’ + A’CD + B’C’ c = A’B + B’C’ + A’C’ + A’D d = A’CD’ + A’B’C + B’C’D’+AB’C’+A’BC’D e = A’CD’ + B’C’D’ f = A’BC’ + A’C’D’ + A’BD’ + AB’C’ g = A’CD’ + A’B’C + A’BC’ + AB’C’ Exercise: Draw the circuit Ahmad Almulhem, KFUPM 2010
- 15. BCD-to-decimal decoder