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Fan-out: The # of loads the gate drives CSE370, Lecture 45! Example: F = (AŁB)™ + CŁD! 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 ...
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 ...
Gate Logic A gate is a physical implementation of a Boolean function. Typically, gates are built from tiny switching devices, called transistors, wired in a certain topology designed to effect the gate functionality. Although most digital computers use electricity to represent and transmit binary
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
V OH=Logic state “1” or “True”. The highest possible output voltage. V OL=Logic state “0” or “False”. The Lowest possible output voltage. V REF=Voltage for which the inverter switches from Logic state “1” to Logic state “0”. The transition is abrupt. The simplest implementation of the inverter consists of a resistor and ...
Logic gates and truth tables. Example. A B C F. 0 0 0 0. 0 0 1 0. F = A’BC’+A’BC+AB’C+ABC = A’B(C’+C)+AC(B’+B) = A’B+AC. 0 1 0 1. 0 1 1 1. 0 0 0. 0 1 1. 1 0 0. 1 1 1. 7. Full adder: Sum. Before Boolean minimization. Sum = A'B'Cin + A'BCin' After Boolean minimization. Sum = (A ̄B) ̄ Cin. 9. + AB'Cin' + ABCin
Logic Gates. Basic logic circuits with one or more inputs and one output are known as gates. • Gates are used as the building blocks in the design of more complex digital logic circuits. Representing Logic Functions. There are several ways of representing logic functions: Symbols to represent the gates. Truth tables. Boolean algebra.
