Digital Fundamentals Digital Fundamentals CHAPTER 5 CHAPTER 5 Combinational Logic Analysis Combinational Logic Analysis
Digital FundamentalsDigital Fundamentals
CHAPTER 5 CHAPTER 5 Combinational Logic AnalysisCombinational Logic Analysis
Basic Combinational Logic CircuitsBasic Combinational Logic Circuits
Basic Combinational Logic Circuits Basic Combinational Logic Circuits
• AND-OR LogicAND-OR Logic• AND-OR-Invert LogicAND-OR-Invert Logic• Exclusive-OR LogicExclusive-OR Logic
Basic Combinational Logic CircuitsBasic Combinational Logic Circuits
• AND-OR LogicAND-OR Logic
Basic Combinational Logic CircuitsBasic Combinational Logic Circuits
• AND-OR Invert LogicAND-OR Invert Logic
Basic Combinational Logic CircuitsBasic Combinational Logic Circuits
• Exclusive-OR LogicExclusive-OR Logic
Implementing Combinational Logic Implementing Combinational Logic
Implementing Combinational Logic Implementing Combinational Logic
• From Boolean expression to logic From Boolean expression to logic circuitcircuit– Given a Boolean expression, create a Given a Boolean expression, create a
logic circuit that implements that logic circuit that implements that expression.expression.
• From truth table to logic circuitFrom truth table to logic circuit– Given a truth table, create a logic circuit Given a truth table, create a logic circuit
that implements that table.that implements that table.
The Universal Property The Universal Property of NAND and NOR Gatesof NAND and NOR Gates
NAND and NOR gates are “universal” because they NAND and NOR gates are “universal” because they can used to produce any of the other logic functions.can used to produce any of the other logic functions.
The Universal Property of NAND GatesThe Universal Property of NAND Gates
• NAND Gate as an InverterNAND Gate as an Inverter
The Universal Property of NAND GatesThe Universal Property of NAND Gates
• Two NAND Gates as an AND GateTwo NAND Gates as an AND Gate
The Universal Property of NAND GatesThe Universal Property of NAND Gates
• Three NAND Gates as an OR GateThree NAND Gates as an OR Gate
The Universal Property of NAND GatesThe Universal Property of NAND Gates
• Four NAND Gates as OR GateFour NAND Gates as OR Gate
The Universal Property of NOR GatesThe Universal Property of NOR Gates
• NOR Gate as an InverterNOR Gate as an Inverter
The Universal Property of NOR GatesThe Universal Property of NOR Gates
• Two NOR Gates as an OR GateTwo NOR Gates as an OR Gate
The Universal Property of NOR GatesThe Universal Property of NOR Gates
• Three NOR Gates as an AND GateThree NOR Gates as an AND Gate
The Universal Property of NOR GatesThe Universal Property of NOR Gates
• Four NOR Gates as an AND GateFour NOR Gates as an AND Gate