Dept. of Electrical and Computer Eng., NCTU 1 Lab 5. 3-to-8 Decoder Presenter: Chun-Hsien Ko Contributors: Chung-Ting Jiang and Lin-Kai Chiu

Logic DesignLab 5. 3-to-8 DecoderChun-Hsien Ko Dept. of Electrical and Computer Eng., NCTU 2 Outlines What is Decoder? 3-bit to 8-output Decoder One-hot Logic Design Lab 5: 3-to-8 Decoder November 2, 2015: George Boole’s 200th Birthday

Logic DesignLab 5. 3-to-8 DecoderChun-Hsien Ko What is Decoder? Transformation between 2 different format 1-to-1 mapping Example ： Taking attendance for demo The process of mapping the ID number to the corresponding name Dept. of Electrical and Computer Eng., NCTU ID numberName 000Tim 001Sony …… 111Tony

Logic DesignLab 5. 3-to-8 DecoderChun-Hsien Ko Dept. of Electrical and Computer Eng., NCTU 4

Logic DesignLab 5. 3-to-8 DecoderChun-Hsien Ko Dept. of Electrical and Computer Eng., NCTU 5

Logic DesignLab 5. 3-to-8 DecoderChun-Hsien Ko Lab 5: 3-to-8 Decoder Input: 3-bit binary input with DIP switch Output: 8 output with LED How do you design your 3-to-8 decoder from truth table? Dept. of Electrical and Computer Eng., NCTU 6 D0 D1D2 D3D4D5D6D7 Please put the LEDs in line and use them to denote the outputs of circuit

Logic DesignLab 5. 3-to-8 DecoderChun-Hsien Ko Lab 5: 3-to-8 Decoder Tip: Follow the step and construct these outcomes Dept. of Electrical and Computer Eng., NCTU 7 XYZXYZ X Y Z X’ Y’ Z’ X’Y’ X’Y XY’ XY (X’Y’)Z’ (X’Y’)Z (X’Y)Z’ (X’Y)Z (XY’)Z’ (XY’)Z (XY)Z’ (XY)Z

Logic DesignLab 5. 3-to-8 DecoderChun-Hsien Ko Dept. of Electrical and Computer Eng., NCTU 8

Logic DesignLab 5. 3-to-8 DecoderChun-Hsien Ko November 2, 2015 George Boole’s 200th Birthday E5%AD%B8%E5%8F%B2%E4%B8%8A%E7%9A%84%E4 %BB%8A%E5%A4%A9112%E5%B8%83%E7%88%BE%E 8%AA%95%E8%BE%B0george-boole E5%AD%B8%E5%8F%B2%E4%B8%8A%E7%9A%84%E4 %BB%8A%E5%A4%A9112%E5%B8%83%E7%88%BE%E 8%AA%95%E8%BE%B0george-boole Dept. of Electrical and Computer Eng., NCTU 9

Logic DesignLab 5. 3-to-8 DecoderChun-Hsien Ko November 2, 2015 George Boole’s 200th Birthday The Mathematical Analysis of Logic, by George Boole An Investigation of the Laws of Thought, by George Boole Dept. of Electrical and Computer Eng., NCTU 10 No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it gives the impression of also being beautiful. - George Boole