# Data Representation: Understanding Number Bases

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Decimal System

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## Tags and Description

Terms and infos about the use of number system in Data Re

### 19 Terms

1

Decimal System

Standard system for denoting integer and non-integer numbers based on 10 symbols: 0-9.

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2

Binary System

Base-2 numeral system using only two symbols: 0 and 1; used in computers for data representation.

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3

Binary Digit (Bit)

Each binary digit is a 0 or 1, fundamental unit in binary representation.

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4

Binary to Decimal Conversion

Process of converting binary numbers to decimal by summing products of each bit and its corresponding power of 2.

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5

Decimal to Binary Conversion

Process of converting decimal numbers to binary by dividing by 2 and recording remainders.

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6

Base-16 numeral system using 16 symbols: 0-9 and A-F; often used in computing for human-friendly binary representation.

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7

10, 11, 12, 13, 14 , and 15

In Hexadecimal, what are the equivalent value of “A”, “B”, “C”, “D”, “E”, and “F”, respectively?

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8

Process of converting decimal numbers to hexadecimal by dividing by 16 and recording remainders.

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9

Process of converting hexadecimal numbers to decimal by summing products of each digit and its corresponding power of 16.

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10

Process of converting binary numbers to hexadecimal by grouping bits into sets of four and converting each group to its hexadecimal equivalent.

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11

Process of converting hexadecimal numbers to binary by converting each digit to its four-digit binary equivalent.

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12

Compact Representation

Hexadecimal provides a more compact and readable form of binary numbers, aiding in interpretation.

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13

Ease of Conversion

Conversion between binary and hexadecimal is straightforward, with one hex digit corresponding to four binary digits.

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14

Error Reduction

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15

Hexadecimal is used in memory addresses and machine code, facilitating programmer understanding.

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16

Color Codes in Web Design

Web colors are often represented in hexadecimal format (e.g., #FFFFFF for white).

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17

Memory Dumps

Hexadecimal is used to display memory addresses and values in debugging tools.

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18

Assembly Language

Low-level programming often uses hexadecimal to represent binary-coded instructions.

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19

Networking

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