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Stirling Cycle Four processes—two reversible isochoric and two reversible isothermal—make up the Stirling cycle. In the same temperature range, the efficiency of the ideal regenerative Stirling cycle is equivalent to that of the Carnot cycle. Heat interaction takes place throughout the cycle, whereas work interaction only happens in processes 1-2 and 3–4. The figure shown below displays the cycle's schematic. Maximum pressure $\mathrm{(p_{max})}$, minimum pressure $\mathrm{(p_{min})}$, maximum volume $\mathrm{(v_{max})}$, compression ratio (r), and adiabatic exponent $\mathrm{(\gamma)}$ are the input variables taken into consideration when modelling the cycle. The following list includes the thermodynamic calculations of several processes involved in ... Read More
In this article, we will discuss different types of ICs (Integrated Circuits) in electronics. As we know, the integrated circuits (ICs) are one of the crucial parts of all electronic devices and systems. Without ICs, most of the hi tech electronic devices and gadgets that we use would cease to exist. Integrated circuits made the electronic devices and systems so small that they became an integral part of every field of human life. Therefore, integrated circuits or ICs are entirely responsible for miniaturization of electronic devices and circuits. Before discussing different types of ICs, let us first understand a ... Read More
Let's start this tutorial with a basic introduction of 8:1 multiplexer before moving on to cover how a three variable logic function can be implemented using an 8:1 multiplexer. Introduction to 8:1 Multiplexer A multiplexer (or MUX) is a digital logic circuit that accepts multiple data inputs and allows only one of them at a time to pass through the output line. Hence, multiplexer is also known as data selector. In other words, a multiplexer is a digital circuit which Based on the number of input data lines, there are several types of multiplexers. But, this article is meant ... Read More
Simplification is an approach in which a Boolean expression is minimized or reduced into an equivalent expression by using some Boolean identities. Boolean algebra is a mathematic applied to binary number system. It was developed by George Boole, an English mathematician, to simplify complex logical operation to their simplest form. The simplification of a Boolean function is important because it reduces the number of logic devices/gates required to implement a logic function. This in turn reduces the hardware cost and complexity of the circuit. Also, it increases the reliability of the system. In this tutorial, we will understand the ... Read More
Let's start this tutorial with some basics of SOP form and NOR gates before getting into the details of how to realize a logic function or Boolean expression in SOP form using NOR gates only. SOP Form SOP form stands for Sum of Products form. SOP form is one in which a Boolean expression is expressed as a sum of product terms. For example, $$\mathrm{\mathit{f}\lgroup A, B, C\rgroup=AB+ABC+B\overline{C}}$$ This is a Boolean function expressed in SOP (Sum of Products) form. NOR Gate NOR Gate is a universal logic gate, i.e., NOR gate can be used for realization of any ... Read More
SOP Form SOP form stands for Sum of Products form. SOP form is one in which a Boolean expression is expressed as a sum of product terms. For example, $$\mathrm{\mathit{f}\lgroup A, B, C\rgroup=AB+ABC+B\overline{C}}$$ This is a Boolean function expressed in SOP (Sum of Products) form. NAND Gate The NAND Gate is a type of universal logic gate. It is a logic gate one that can be used to realize any kind of logical function or any other type of logic gate. A NAND gate is basically a combination of two basic logic gates namely AND gate and NOT gate, i.e. ... Read More
In positional number systems, the radix is the total number of unique digits that are used to represent numbers in that number system. Radix is also called Base. For example, in decimal number system, we use total ten digits from 0 to 9 (i.e. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9) to represent any decimal number. Therefore, for the decimal number system, the radix or base is ten (10). Although we can easily convert a given number from one radix (i.e. number system) to any other radix (number system) by using radix conversion protocols. In this article, ... Read More
Otto Cycle An air standard cycle called the Otto Cycle is employed in spark ignition (SI) engines. It comprises of two reversible adiabatic processes and two isochoric processes (constant volume), totaling four processes. When the work interactions take place in reversible adiabatic processes, the heat addition (2-3) and rejection (4-1) occur isochorically (3-4 and 1-2). The Otto cycle's schematic is shown in Figure given below. To model the cycle in Python, the input variables considered are maximum pressure $\mathrm{(P_{max})}$, minimum pressure $\mathrm{(P_{min})}$, maximum volume $\mathrm{(V_{max})}$, compression ratio (r), and adiabatic exponent $\mathrm{(\gamma)}$. Table 2 explains the thermodynamic computations of ... Read More
The K-Map or Karnaugh Map is a systematic method of simplifying a complex Boolean function or expression. The K-Map is basically a graph or a chart which consists of a certain number of adjacent cells. Each cell represents a particular combination of variables in either sum or product form. However, we can use the K-Map for simplifying a Boolean function in any number of variables, but it becomes tedious for functions involving five or more variables. In actual practice, we usually use K-Map for simplification of Boolean functions in upto six variables. A Boolean function in n variables can have ... Read More
Gauss Seidel Method is the iterative method to solve any system of linear equations. Though the method is very much similar to the Jacobi's method but the values of unknown (x) obtained in an iteration are used in the same iteration in Gauss Seidel whereas, in Jacobi's method they are used in the next iteration level. The updation of x in the same step speeds up the convergence rate. A system of liner equation can be written as − $$\mathrm{a_{1, 1}x_{1} \: + \: a_{1, 2}x_{2} \: + \: \dotso \: + \: a_{1, n}x_{n} \: = \: b_{1}}$$ $$\mathrm{a_{2, ... Read More