# Sol5 - Sheet1 Page 1 Q1(a F Err:512 Err:512 |3-to-8 | |Binary | |Decoder| C-|I0 Y0|-| B-|I1 Y1|-|OR-F A-|I2 Y2|-| | Y3| | Y4| | Y5| | Y6| | Y7|(b F

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Unformatted text preview: Sheet1 Page 1 Q1. (a) F Err:512 Err:512 +-------+ |3-to-8 | |Binary | |Decoder| C---|I0 Y0|---| B---|I1 Y1|---|OR---F A---|I2 Y2|---| | Y3| | Y4| | Y5| | Y6| | Y7| +-------+ (b) F = sum_{A,B,C,D} (2,4,6,14) By Karnaugh map, we obtain F Err:509 Err:508 Err:512 +-------+ |3-to-8 | |Binary | |Decoder| C---------|I0 Y0| B---------|I1 Y1|---| A---------|I2 Y2|---| | Y3|---| | Y4| |OR---F | Y5| | | Y6| | D---|>o---|EN Y7|---| +-------+ (c) F = sum_{W,X,Y} (1,3,5,6) and G = sum_{W,X,Y} (2,3,4,7) +-------+ |3-to-8 | Sheet1 Page 2 |Binary | |Decoder| Y---|I0 Y0| X---|I1 Y1|---x------------------ W---|I2 Y2|---|--------x--------- | Y3|---|-x------|-x------- | Y4|---|-|------|-|-x----- | Y5|---|-|-x----|-|-|----- | Y6|---|-|-|-x--|-|-|----- | Y7|---|-|-|-|--|-|-|-x--- +-------+ | | | | | | | | | | | | | | | | | | | | | | | |------- ------- OR OR | | | | F G Q2. F = sum_{W,X,Y,Z} (0,1,2,3,5,7,11,13) By Karnaugh map, we obtain F Err:508 Err:508 Err:508 Err:512 +-------+ |3-to-8 | |Binary | |Decoder| Z-------x---|I0 Y0| Y-------|---|I1 Y1| X-----x-|---|I2 Y2| | | | Y3|---| | | | Y4| | | | | Y5|---| | | | Y6| | | | | Y7| | | | +-------+ | | | | | | +-------+ |OR---F | | |3-to-8 | | | | |Binary | | Sheet1 Page 3 | | |Decoder| | | +---|I0 Y0|---| +-----|I1 Y1|---| W-----------|I2 Y2| | | Y3|---| | Y4| | Y5| | Y6| |EN Y7| +-------+ Q3. Binary Gray Code 0:0000:000 1:0011:001 2:0103:011 3:0112:010 4:1006:110 5:1017:111 6:1105:101 7:1114:100 Binary Gray Code 0:0000:000 1:0011:001 3:0112:010 2:0103:011 7:1114:100 6:1105:101 4:1006:110 5:1017:111 +-------+ |2-to-4 | |Binary | |Decoder| +-------------|I0...
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## This note was uploaded on 11/13/2010 for the course SEEM SEEM2018 taught by Professor Chan during the Spring '10 term at CUHK.

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Sol5 - Sheet1 Page 1 Q1(a F Err:512 Err:512 |3-to-8 | |Binary | |Decoder| C-|I0 Y0|-| B-|I1 Y1|-|OR-F A-|I2 Y2|-| | Y3| | Y4| | Y5| | Y6| | Y7|(b F

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