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Describe the action of logic gates. • AND, OR, NAND, NOR, NOT, XOR and XNOR • Using Boolean expressions. • Using truth tables. Understand the use of universal gates. • NAND • NOR containing standard logic gates.
Logic gate diagrams Logic gates may be combined to form logic gate diagrams that perform more complicated logical operations. Truth tables are used to show the states of each terminal and hence the logical operations.
Definitions. Schematic: A drawing of interconnected gates. Net: Wires at the same voltage (electrically connected) Netlist: A list of all the devices and connections in a schematic. Fan-in: The # of inputs to a gate. Fan-out: The # of loads the gate drives. 4.
Lecture 11 - Logic gates and Boolean. The basic logic gates are the inverter (or NOT gate), the AND gate, the OR gate and the exclusive-OR gate (XOR). If you put an inverter in front of the AND gate, you get the NAND gate etc. One of the common tool in specifying a gate function is the truth table. All possible combination of the inputs A, B ...
10 Full adder: Carry-out Before Boolean minimization Cout = A'BCin + AB'Cin + ABCin' + ABCin After Boolean minimization Cout = BCin + ACin + AB 11 Preview: 2-bit ripple-carry adder A1 B1 Cin Cout Sum 1 A2 B2 Sum 2 0 Cin Cout Overflow A Sum Cin Cout B 1-Bit Adder 12 Many possible mappings Many ways to map expressions to gates Example: Z = A •B ...
Digital Electronics Fundamental Logic Gates Truth Table Circuit Representation Boolean Expression A B Q A B Q 0 0 0 0 1 0 1 0
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