Generalization and aggregration
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Generalization is a bottom-up process that extracts shared characteristics from two or more classes and combines them into a generalized superclass. This allows lower-level entities like saving and current bank accounts to be combined into a higher-level "Account" entity. Generalization forms more abstract, generalized entities by combining sub-classes into super-classes.
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The document provides information about Prof. Neeraj Bhargava and Mrs. Pooja Dixit who work in the Department of Computer Science in the School of Engineering & System Sciences at MDS University in Ajmer, Rajasthan.
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This document discusses encoders and provides examples of 4-to-2 and 8-to-3 line encoders. It defines an encoder as a combinational circuit that performs the reverse operation of a decoder, with a maximum of 2n input lines and n output lines. Truth tables and logic circuits are given for 4-to-2 and 8-to-3 line encoders. Uses of encoders include converting decimal to binary numbers to perform binary operations like addition and subtraction in digital systems.
De-multiplexer.pptx
This document discusses demultiplexers, which are combinational circuits with one input and multiple outputs. It describes 1x2 and 1x4 demultiplexers specifically. For a 1x2 demultiplexer, there are two outputs, one selection line, and a single input. The input is directed to one of the two outputs based on the selection line value. A 1x4 demultiplexer has four outputs, two selection lines, and one input. The input is directed to one of the four outputs based on the combination of values on the two selection lines. Block diagrams and truth tables are provided to illustrate the functionality of 1x2 and 1x4 demultiplexers.
DeMorgan’s Theory.pptx
The document discusses DeMorgan's theorems, which state that a NOR gate is logically equivalent to an AND gate with inverted inputs, and a NAND gate is equivalent to an OR gate with inverted inputs. DeMorgan's theorems are important in digital logic, as they allow basic gates like NAND and NOR to be used to implement more complex logic functions. The theorems are verified through truth tables.
Combinational circuit.pptx
This document discusses combinational circuits and provides examples of half adders and full adders. It defines combinational circuits as those whose outputs only depend on the current inputs. A half adder is described as having two inputs (A and B) and two outputs (sum and carry), which can add two single bits. Its truth table and logic diagram using an XOR gate and AND gate are shown. A full adder handles three inputs (A, B, Cin) to add two bits along with a carry bit, with outputs of sum and carry out. Its block diagram and truth table are presented.
Boolean Algebra.pptx
The document discusses Boolean algebra, which uses binary numbers (0 and 1) to analyze and simplify digital logic circuits. It was invented by George Boole in 1854. The document outlines several important rules of Boolean algebra, including commutative, associative, distributive, identity, idempotent, complement, and double negation laws. It also discusses de Morgan's theorem and finding the dual of Boolean expressions.
Binary Multiplication & Division.pptx
Binary multiplication and division work similarly to decimal operations but use only 0s and 1s. For binary multiplication, there are four basic rules and the process involves multiplying each bit of one number by the other number and summing the results. Examples show multiplying 1010 x 101 to get 10100 and comparing the binary result to its decimal equivalent. Binary division uses long division to divide strings of binary digits. Examples demonstrate dividing several binary numbers by powers of two.
Binary addition.pptx
Binary arithmetic is essential for digital computers and systems. It includes four rules for binary addition and subtraction. Binary addition examples show that adding two 1s results in a 1 in the next column with a carry of 1. Binary subtraction uses borrowing to subtract binary numbers, as shown through several examples.
Basics of Computer Organization.pptx
This document provides an overview of computer organization. It defines computer organization as how the various parts of a computer are organized and work together. It describes the main components of a computer like the CPU, memory (RAM and cache), and buses. It also discusses number systems like binary, decimal, octal, and hexadecimal. Additional topics covered include Gray codes, Boolean algebra, logic gates, and flip flops.
Decoders
A decoder is a logic circuit that takes binary input and provides an output based on the input. It performs the reverse operation of an encoder. There are different types of decoders including a 2 to 4 line decoder and a 3 to 8 line decoder. A 2 to 4 line decoder has 3 inputs (A0, A1, E) and 4 outputs (Y0, Y1, Y2, Y3). It uses AND gates to activate one output based on the input. A 3 to 8 line decoder has 3 inputs (A0, A1, A2), 8 outputs (Y0-Y7), and an enable input. It uses AND gates and logic expressions to activate one of the 8 outputs based on the
Three Address code
The document discusses three address code, which is an intermediate code used by optimizing compilers. Three address code breaks expressions down into separate instructions that use at most three operands. Each instruction performs an assignment or binary operation on the operands. The code is implemented using quadruple, triple, or indirect triple representations. Quadruple representation stores each instruction in four fields for the operator, two operands, and result. Triple avoids temporaries by making two instructions. Indirect triple uses pointers to freely reorder subexpressions.
Cyrus beck line clipping algorithm
The Cyrus-Beck algorithm is used for line clipping against non-rectangular convex polygons. It uses a parametric equation to find the intersection point of the line with the polygon boundary. The algorithm calculates the time values for the line endpoints at each polygon edge, then uses those times in the parametric equation to find the clipped line segment P'0 and P'1 that is visible within the polygon clipping window.
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Generalization and aggregration
- 1. Prof. Neeraj Bhargava Pooja Dixit Department of Computer Science School of Engineering & System Science MDS, University Ajmer, Rajasthan, India 1
- 2. Generalization is the process of extracting shared characteristics from two or more classes, and combining them into a generalized superclass. Shared characteristics can be attributes, associations, or methods. Generalization is a bottom-up approach in which two lower level entities combine to form a higher level entity. In generalization, the higher level entity can also combine with other lower level entities to make further higher level entity. It's more like Superclass and Subclass system, but the only difference is the approach, which is bottom-up. Hence, entities are combined to form a more generalised entity, in other words, sub-classes are combined to form a super-class. 2
- 3. For example, Saving and Current account types entities can be generalised and an entity with name Account can be created, which covers both. 3
- 4. Aggregration is a process when relation between two entities is treated as a single entity. In the diagram above, the relationship between Center and Course together, is acting as an Entity, which is in relationship with another entity Visitor. Now in real world, if a Visitor or a Student visits a Coaching Center, he/she will never enquire about the center only or just about the course, rather he/she will ask enquire about both. 4