EEM16_F13_L05 (1) (2) - EEM16/CSM51A Logic Design of...

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EEM16/CSM51A: Logic Design of Digital Systems Lecture #5 Combinational Building Blocks Prof. Danijela Cabric Fall 2015
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Recap of class thus far Introduction of digital design Digital representation Boolean Algebra Combinational logic design Truth table, minterms, maxterms Universal gates: AND, OR, NOT, NAND, NOR, XOR K-maps: prime implicants, essential implicants, … Minimal SoP and PoS 2
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3 (c) 2005-2012 W. J. Dally Today’s Lecture Combinational building blocks – the idioms of digital design Decoder Encoder Primary Encoder Muliplexer Comparators Read-only memories
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4 (c) 2005-2012 W. J. Dally One-hot representation Represent a set of N elements with N bits Exactly one bit is set Example – encode numbers 0-7 Binary One-hot 000 00000001 001 00000010 010 00000100 110 01000000 111 10000000 What operations are simpler with one-hot representation? With binary?
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5 (c) 2005-2012 W. J. Dally Decoder A decoder converts symbols from one code to another. A binary to one-hot decoder converts a symbol from binary code to a one-hot code. One-hot code: exactly one bit is high at any given time and each bit represents a symbol.
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