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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 • 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
The logic circuits discussed previously are known as combinational, in that the output depends only on the condition of the latest inputs. However, we will now introduce a type of logic where the output depends not only on the latest inputs, but also on the condition of earlier inputs.
The outputs of the gates assume at all times the value of the Boolean function, implemented by the circuit. In contrast, a dynamic circuit relies on temporary storage of signal values on the capacitance of high impedance circuit nodes.
Digital Electronics: Combinational Logic. Logic Gates and Boolean Algebra. Introduction to Logic Gates. We will introduce Boolean algebra and logic gates. • Logic gates are the building blocks of digital circuits. Logic Variables. Different names for the same thing. Logic variables. Binary variables. Boolean variables.
• By defining logic gates based on Boolean algebra, we can use algebraic methods to manipulate circuits – So let’s learn some Boolean algebraic methods • Start with notation: Writing a AND b, a OR b, and NOT(a) is cumbersome – Use symbols: a * b, a + b, and a’ (in fact, a * b can be just ab). • Original: w = (p AND NOT(s) AND k) OR t
Design simple logic circuits without the help of a truth table. Describe how to implement enable circuits. Cite the basic characteristics of TTL and CMOS digital ICs.
