# NUMBER SYSTEM PDF FILE

PDF | Computer Numbering System | ResearchGate, the professional network for scientists. to: audio, graphics, video, text file, numbers etc. Number Systems. Instructor: Tsung-Che Chiang [email protected] Department of Computer Science and Information Engineering. National Taiwan Normal. Today's Topics. □ The significance of the bit and powers of 2. □ Data quantities ( B, kB, MB, GB, etc). □ Number systems (decimal, binary, octal, hexadecimal).

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NUMBER SYSTEMS. 1. CHAPTER 1. NUMBER SYSTEMS. Introduction. In your earlier classes, you have learnt about the number line and how to represent. Characteristics. § A positional number system. § Has 10 symbols or digits (0, 1, 2, 3, 4, 5, 6, 7,. 8, 9). Hence, its base = § The maximum value of a single digit. Notes: ▫ When written down, a number may be ambiguous regarding which system it belongs to. So we will associate a subscript to clear such ambiguities.

This is called sign-value notation.

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The ancient Egyptian numeral system was of this type, and the Roman numeral system was a modification of this idea. This system is used when writing Chinese numerals and other East Asian numerals based on Chinese.

The number system of the English language is of this type "three hundred [and] four" , as are those of other spoken languages , regardless of what written systems they have adopted.

In English, one could say "four score less one", as in the famous Gettysburg Address representing "87 years ago" as "four score and seven years ago". More elegant is a positional system , also known as place-value notation. Note that zero, which is not needed in the other systems, is of crucial importance here, in order to be able to "skip" a power.

## Number System in computer

The positional decimal system is presently universally used in human writing. This is the meaning of the common notation 1,,, used for very large numbers. Positional systems obtained by grouping binary digits by three octal numeral system or four hexadecimal numeral system are commonly used.

In certain biological systems, the unary coding system is employed. Unary numerals used in the neural circuits responsible for birdsong production. The command signals for different notes in the birdsong emanate from different points in the HVC. This coding works as space coding which is an efficient strategy for biological circuits due to its inherent simplicity and robustness.

## Number System Questions for SSC CGL PDF

The numerals used when writing numbers with digits or symbols can be divided into two types that might be called the arithmetic numerals 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 and the geometric numerals 1, 10, , , The sign-value systems use only the geometric numerals and the positional systems use only the arithmetic numerals. A sign-value system does not need arithmetic numerals because they are made by repetition except for the Ionic system , and a positional system does not need geometric numerals because they are made by position.

However, the spoken language uses both arithmetic and geometric numerals. In certain areas of computer science, a modified base k positional system is used, called bijective numeration , with digits 1, 2, The digit 7 in the number is most significant digit and 4 is the least significant digit. Number Bases. The weights and positions of each digit of the number are as follows: Face value.

The above table indicates that: The actual number can be found by adding the values obtained by the digits as follows: The weights and positions of each digit of the number Face Value. Digital computer represents all kinds of data and information in the binary system.

Number System in computer Binary Number System consists of two digits 0 and 1.

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Its base is 2. Each digit or bit in binary number system can be 0 or 1. A combination of binary numbers may be used to represent different quantities like The positional value of each digit in binary number is twice the place value or face value of the digit of its right side. The weight of each position is a power of 2.

The place value of the digits according to position and weight is as follows: Octal Number System consists of eight digits from 0 to 7. Number System in computer - Byte-Notes The base of octal system is 8. Each digit position in this system represents a power of 8.

Any digit in this system is always less than 8. Octal number system is used as a shorthand representation of long binary numbers. The place value of each digit according to position and weight is as follows. The alphabets A to F represent decimal numbers from 10 to The base of this number system is Each digit position in hexadecimal system represents a power of The number is valid hexadecimal number.

It is different from which is seven hundred and sixty four. This number system provides shortcut method to represent long binary numbers. The place value of each digit according to position and weight is as follows: View the discussion thread. Submit a Comment Cancel reply Your email address will not be published.

Number System in computer Introduction to Computing. Introduction to Computing Table of Contents 1.Here last two digits 48 are divisible by 4, so is also divisible by 4. The base of binary number system is 2, because it has only two digits.

The base of octal number system is 8, because it has only 8 digits. Number System in computer - Byte-Notes The base of octal system is 8.

A sign-value system does not need arithmetic numerals because they are made by repetition except for the Ionic system , and a positional system does not need geometric numerals because they are made by position. It is the most widely used number system. In English, one could say "four score less one", as in the famous Gettysburg Address representing "87 years ago" as "four score and seven years ago".

Its base is 2. Here last 3 digits are divided by 8, hence the number is divisible by 8.

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