Digital
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This document discusses three applications of XOR gates: 1) Using XOR gates to check the parity of words by outputting 0 for even parity and 1 for odd parity. 2) Converting a 6-bit binary input word to a 6-bit Gray code output word. 3) Using a controlled inverter gate that either inverts or does not invert its input depending on the value of an additional control input.
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The document discusses multiplexers, encoders, and decoders. It can be summarized as follows:
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Logic Gates
Logic gates are electronic circuits that take one or more inputs and produce an output. The basic logic gates are NOT, AND, OR, NAND, NOR, and XOR. Truth tables define the output of each gate for all possible combinations of its inputs. NAND and NOR gates can simplify circuit diagrams since they can reproduce the functions of other gates.
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The document discusses digital logic gates and their usage in computers. It describes that logic gates combine electrical pulses following logical rules and are the basic components used to move data and instructions through a computer. The three basic logic gates are AND, OR, and NOT. These gates can be combined to perform more complex logic functions and operations like addition. Adders are constructed using networks of half adders and full adders to add binary numbers.
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2) Moore's Law predicts that the number of transistors on an integrated circuit will double about every two years.
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The document discusses different types of logic gates - inverter, AND, OR, NAND, NOR, and exclusive OR (XOR) gates. It provides the truth tables, logic symbols, and logical expressions for each gate. The inverter inverts the input, while AND and NAND gates output 1 only when all inputs are 1. OR and NOR gates output 0 only when all inputs are 0. XOR outputs 1 when only one input is 1, while exclusive NOR (XNOR) outputs 1 when both inputs are the same.
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AND, OR, NOT, EX-OR, EX-NOR, NAND, NOR Gates with description, truth table, circuiy diagram and universal gate. Conversion of universal gate to basic gates
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- The document describes several types of basic logic gates - inverter, AND, OR, NAND, NOR, XOR, and XNOR.
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- Complex logic gates can be constructed by combining simpler gates, such as using two-input AND gates to create a three-input AND gate.
Electronics: Logic Gates
Originally made for a class presentation in SPM Form 5 - Electronics
The logic gate examples are animated. Since GIFs are not supported in SlideShare, the slide can be downloaded from here:
https://drive.google.com/file/d/1Jeuz1Y9hBZCNMp6JXnb5gC73uiHD-GGR/view?usp=sharing
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Digital logic circuits represent information using two voltage levels (1 and 0) and binary logic gates. The basic gates are AND, OR, and NOT. NAND and NOR gates are also commonly used as they can be combined to implement all other logic functions. Logic gates compute elementary binary logic functions on their inputs and produce outputs accordingly. For example, an AND gate output is 1 only when all its inputs are 1. Larger gates with more than two inputs, such as 3-input AND gates, generalize this behavior.
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The document provides an overview of the digital logic NOT gate:
- It is a single input gate that inverts its input signal, outputting a 0 when the input is 1 and vice versa.
- NOT gates can be constructed using transistors or with NAND and NOR gates connected in a specific configuration.
- The symbol for a NOT gate is a triangle pointing right with a circle "inversion bubble" at the output.
- Common integrated circuit implementations of NOT gates include the 7404 and CD4009.
7 realization of logic function using logic gates (1)
1. The document discusses various methods to realize logic functions using logic gates.
2. It provides examples of implementing both simple and complex logic functions using gates like AND, OR, NAND, NOR.
3. Implementation techniques include using universal gates, AOI logic and reducing logic functions using K-map simplification to minimize the number of gates required.
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A binary decoder converts an n-bit binary input into a one-hot 2^n bit output. It has n input lines and 2^n output lines. A 2-to-4 binary decoder takes a 2-bit binary input and activates exactly one of its 4 output lines based on the input. It can be implemented using AND and NOT gates, with an enable input to control the outputs. Alternatively, a 2-to-4 decoder can be implemented using NAND gates to generate the max terms as outputs.
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This document discusses binary logic and logic gates. It defines binary logic as variables that can only take two discrete values, often represented as 1 and 0. It then describes the eight standard logic gates: inverter, OR, AND, buffer, NAND, NOR, XOR, and XNOR. For each gate it provides the symbol and truth table showing the output for all combinations of input values.
Presentation of universal logic gate
A universal gate is a gate that can implement any Boolean function without needing other gate types like AND, OR, and NOT gates. Universal gates can be constructed using only two inputs and one output to perform any logical operation, unlike basic gates which are dedicated to a single operation. Logic gates are commonly used in electronic circuits and digital systems to perform operations on digital signals.
Introduction to digital logic gates
- The document discusses different logic gates - AND, OR, NOT, NAND, NOR, XOR, and XNOR - and provides their symbols, truth tables, and example integrated circuit (IC) numbers.
- Logic gates take one or more binary inputs and produce a single binary output according to their truth tables. For example, the AND gate outputs 1 only if all inputs are 1, while the OR gate outputs 1 if any input is 1.
- Common ICs for different logic gates are also provided, such as the 7400 quad NAND gate and 7486 quad XOR gate.
- The document concludes by assigning students to state IC numbers, draw symbols, pin diagrams, and truth tables for the different logic
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Digital
- 2. Application of X-OR Gate Parity Checker One of the applications of the XOR gates lies in testing the parity of words. Even parity means a word with an even number of 1s. 6-bit Binary to Gray Converter The input binary word is ABCDEF and the output Gray code Number is Y1 Y2 Y3 Y4 Y5 Y6. Controlled Inverter When the Invert is low(0). When the Invert is high(1).
- 3. 1 1 1 0 0 1 Y-1 Y=0 for even parity Y=1 for add parity PARITY CHECKER
- 4. A B C D E F 0 1 0 1 1 0 Y1 Y2 Y3 Y4 Y5 Y6 1 1 0 1 0 1 6-Bit Binary to Gray
- 5. A5 A4 A3 A2 A1 A0 Y5 Y4 Y3 Y2 Y1 Y0 Controlled Inverter