Αποτελέσματα Αναζήτησης
Example: F = CŁ(A+B)™ Mapping Boolean expressions to logic gates D C A B F 16 AND2 19 NAND2 17 OR2 C F A B 22 AND2 21 NOR2 6! 1-bit binary adder " Inputs: A, B, Carry-in " Outputs: Sum, Carry-out A B Cin S Cout 00 0 00 1 01 0 01 1 10 0 10 1 11 0 11 1 0 1 1 0 1 0 0 1 0 0 0 1 0 1 1 Cout = A’BCin + AB’Cin + ABCin’ + ABCin Sum = A’B ...
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 ...
Logic gates and truth tables Implementing logic functions Canonical forms Sum-of-products Product-of-sums 2 Logic gates and truth tables AND X•Y XY OR X + Y NOT X' X X Y Z ... Example: F = AB+C 21 From SOP to POS and back Minterm to maxterm Use maxterms that aren’t in minterm expansion
Logic Gates • digital circuit that either allows a signal to pass through it or not. • Used to build logic functions • There are seven basic logic gates: AND, OR, NOT, NAND (not AND), NOR (not OR), XOR, and XNOR (not XOR) [later] Building Functions: Logic Gates A B Out 0 0 0 0 1 1 1 0 1 1 1 1 A B Out 0 0 0 0 1 0 1 0 0
Digital Logic Gates Reading: Jaeger 6.1-6.4 and Notes Georgia Tech ECE 3040 - Dr. Alan Doolittle
This manual concentrates on the basic building blocks of digital electronics: logic gates and memory. It focuses on these items from the ground up. The reader will first see how logic gates can be constructed from transistors and then how digital logic functions are constructed using those gates. The concept of memory is then introduced
Any logical function can be constructed using AND gates, OR gates, and inver- sion; several of the exercises give you the opportunity to try implementing some common logic functions with gates.
