Tutorial 4

Tutorial 4 - Elec 151 Tutorial #4 Outline: continue...

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Elec151 - Tutorial #4 1 Outline: • … continue Karnaugh Maps - Problems - Sum of Products (SOP) and Product of Sums (POS) • Lab 4: Combinational Logic Gates - Design and implementation (design flow) - Binary Code vs. Gray Code - XOR and XNOR • More Problems Elec 151 Tutorial #4 Elec151 - Tutorial #4 2 Design and Implementation of Combinational Logic Circuits Lab 4: Combinational Logic Gates Fill in the True Table” Understand the design Use K-MAP Find out the simplified Boolean expressions Output = f (Inputs) Circuit Implementation: Convert the expressions into Logic Gates / Ics (e.g. Implemented by XOR gates only) Physical Implementation: Implement the physical circuit in the Lab. Design flow Elec151 - Tutorial #4 3 Gray Binary 0 0 1 0 1 1 0 0 0 1 0 1 0 1 Gray Binary 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 0 1 1 0 1 1 1 0 0 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 0 1 1 1 1 Gray Binary 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 0 1 1 0 1 1 1 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 0 1 1 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 0 1 1 1 1 0 0 1 1 1 0 1 0 1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 Binary Code & Gray Code 2 bits 3 bits 4 bits 0 1 3 2 4 5 7 6 8 9 11 10 12 13 15 14 A Gray Code has the property that adjacent codewords differ in only one position . 1 1 1 1 1 11 1 1 0 0 0 Elec151 - Tutorial #4 4 Z A 0 0 1 0 1 1 0 0 1 0 B B A B A Z + = B A = XOR Z A 0 0 1 0 1 1 1 0 1 B AB B A Z + = B A B A = = XNOR Exclusive OR and Exclusive NOR See: Z = 0 when A=B See: Z = 1 when A=B B Z A B Z A ___ B A B A A XNOR B = = See: 1 1 1 0 0
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Tutorial 4 - Elec 151 Tutorial #4 Outline: continue...

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