Introduction To Number System




A number system defines a set of values used to represent quantity. For example, the number of mobile phones kept in a shop, the number of persons standing in a queue, and the number of students attending a class.

There are many ways to represent the same numeric value. Long ago, humans used sticks to count; they then learned how to draw pictures of sticks on the ground and eventually on paper. So, the number 5 was first represented as: | | | | | (for five sticks). Later on, the Romans began using different symbols for multiple numbers of sticks: | | | still meant three sticks, but a V meant five sticks, and a X was used to represent ten of them. Using sticks to count was a great idea at that time. And using symbols instead of real sticks was much better. One of the best ways to represent a number today is by using the modern decimal system. Why? Because it includes the major breakthrough of using a symbol to represent the idea of counting nothing. About 1500 years ago, in India, zero (0) was first used as a number. It was later used in the Middle

East as the Arabic, sifr. It was finally introduced in the West as the Latin, zephiro. Soon it was seen how valuable the concept of zero was for all modern number systems.



Frequently Asked Questions

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Ans: The processing required for a single instruction is called an instruction cycle. view more..
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Ans: An operating system may be defined as a system software which acts as an intermediary between the user and the hardware. view more..
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Ans: There are different types of memories with particular functions. view more..
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Ans: A number system defines a set of values used to represent quantity. view more..
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Ans: The base, or radix, of any number system is determined by the number of digit symbols in the system. view more..
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Ans: C stands out among general-purpose programming languages for its unrivaled mix of portability,power,flexibility and elegance.The language has block structures,stand-alone functions,a compact set of keywords,and very few restrictions. view more..
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Ans: A computer is 'an automatic electronic apparatus for making calculations or controlling operations that are expressible in numerical or logical terms'. view more..
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Ans: Most designs of computers today are based on concepts developed by John von Neumann and are referred to as the von Neumann architecture. Computers can be classified in variety of ways on the basis of various parameters such as usage, cost, size, processing power, and so on. The classification of computers is presented below based on their power and their use. view more..
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Ans: Supercomputer is the most expensive and fastest type of computer that performs at or near the currently highest operational rate for computers. A Cray supercomputer is a typical example. These are employed for specialized applications that require immense amounts of mathematical calculations such as weather forecasting, nuclear energy research, and petroleum exploration etc. view more..
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Ans: A mainframe computer supports a vast number of users to work simultaneously and remotely. Apart from providing multi-user facility, it can process large amounts of data at very high speeds and support many input, output and auxiliary storage devices. These computers are very large in size, and expensive. The main difference between a supercomputer and a mainframe is that a supercomputer can execute a single program faster than a mainframe, whereas a mainframe uses its power to execute many programs concurrently. view more..
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Ans: A number system defines a set of values used to represent quantity. For example, the number of mobile phones kept in a shop, the number of persons standing in a queue, and the number of students attending a class. view more..
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Ans: The base, or radix, of any number system is determined by the number of digit symbols in the system. For example, binary is a base-2 number system since it uses two symbols and decimal is a base-10 system since it uses ten symbols. view more..
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Ans: Most people today use decimal representation to count. This number system uses TEN different symbols to represent values. In the decimal system there are 10 digit symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 with 0 having the least value and 9 having the greatest value. For a number represented in decimal system, the digit on the extreme left has the greatest value, whereas the digit on the extreme right has the least value. view more..
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Ans: Table 2.1 Number systems, bases, and symbols Number system Base Digital symbols Binary 2 0, 1 Ternary 3 0, 1, 2 Quaternary 4 0, 1, 2, 3 Quinary 5 0, 1, 2, 3, 4 Octal 8 0, 1, 2, 3, 4, 5, 6, 7 Decimal 10 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 Duodecimal 12 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B Hexadecimal 16 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F Vigesimal 20 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F, G, H, I, J view more..
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Ans: To convert a hexadecimal to decimal, begin by multiplying each of the hexadecimal digits by their positional weight values as expressed in decimal. Then the resulting values are added to obtain the value of the decimal number. view more..
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Ans: To convert from decimal whole numbers to octal, the systematic approach called the repeated-division-by-8 method is used. This method is explained by the following Converting (359)10 to octal. (a) Divide the decimal number by eight and obtain a quotient and a remainder. (b) Divide the quotient by eight and obtain a new quotient and a remainder. (c) Repeat step (b) until the quotient is equal to zero (0). (d) The first remainder produced is the LSB in the octal number and the last remainder (R) is the MSB. Accordingly, the octal number is then written (from left to right) with the MSB occurring first. view more..
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Ans: To express the value of a given octal number as its decimal equivalent, add the octal digits after each digit has been multiplied by its associated weight. view more..
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Ans: A binary number is made of 0s and 1s. In the binary number system only two symbols, 0 and 1, are used to represent numeric values. The symbol “0“ represents the value “zero” while the symbol “1” represents the value “one”. Since there are only two symbols in the binary number system, the value “two” is represented by placing the symbol “1” on the left–hand side of the symbol “0” resulting in the binary equivalent “10”. Next, the value “three” is represented by “11” in the binary number systemby replacing the “ 0 ” in “10” by the next higher value symbol “1”. view more..




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