Hexadecimal and Decimal Tool || Table and list (Free Tool)

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Decimal and hexadecimal are two number systems that are widely used in computing and mathematics. In this essay, we will define what decimals and hexadecimals are and explore their relationship. We will discuss the advantages and disadvantages of each system, their applications, and their conversion methods. Additionally, we will provide a table to compare the two systems and summarize the main points of this essay.

What are Decimals?

Decimal, also known as base-10, is a number system that uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. In this system, each digit represents a power of 10. For example, the number "123" represents 1 hundred, 2 tens, and 3 units. The place value of the digits from right to left is 1, 10, 100, 1000, and so on. This number system is used in daily life, and it is the most common number system for calculations and arithmetic operations.

What are Hexadecimals?

Hexadecimal, also known as base-16, is a number system that uses sixteen digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F. In this system, each digit represents a power of 16. For example, the number "1F" represents 1 sixteen and 15 units. The place value of the digits from right to left is 1, 16, 256, 4096, and so on. This number system is used in computing, digital electronics, and computer programming.

Relationship between Decimals and Hexadecimals:

Decimals and hexadecimals are related because they both represent numbers. However, the difference is in their base. Decimal uses a base of 10, while hexadecimal uses a base of 16. The advantage of using hexadecimal over decimal is that it allows for easier representation of binary digits. Since computers work with binary digits (0 and 1), hexadecimal is used to represent these digits more efficiently. For example, a byte of memory can be represented by two hexadecimal digits, which is more compact and easier to read than the equivalent eight binary digits or three decimal digits.

Advantages and Disadvantages of Decimals:

The main advantage of decimals is their simplicity and ease of use. Decimals are widely used in daily life, and almost everyone is familiar with this number system. Additionally, arithmetic operations, such as addition, subtraction, multiplication, and division, are straightforward and easy to perform. However, decimals have some disadvantages. They can be cumbersome and inefficient when working with binary digits. Also, decimals require more digits to represent large numbers, making them less compact than other number systems.

Advantages and Disadvantages of Hexadecimals:

The main advantage of hexadecimals is their efficiency in representing binary digits. Since computers work with binary digits, using hexadecimal to represent these digits is more compact and easier to read. Additionally, hexadecimal is used in computer programming, where it is used to represent memory addresses, ASCII characters, and other computer-related data. However, hexadecimals have some disadvantages. They can be more complex and difficult to understand than decimals, especially for those who are not familiar with the number system. Additionally, arithmetic operations in hexadecimal can be more complex than in decimals.

Conversion Methods:

Converting decimals to hexadecimals and vice versa is a straightforward process. To convert a decimal number to hexadecimal, the number is divided by 16 repeatedly, and the remainders are converted to hexadecimal digits. For example, to convert the decimal number 255 to hexadecimal:

• Divide 255 by 16, and get a quotient of 15 and a remainder of 15 (F in hexadecimal notation).


• Divide 15 by 16, and get a quotient of 0 and a remainder of 15 (F in hexadecimal notation).
• The final result is the concatenation of the remainders in reverse order: FF.

To convert a hexadecimal number to decimal, each digit is multiplied by the corresponding power of 16 and then added together. For example, to convert the hexadecimal number FF to decimal:

• The first digit is F, which represents 15 in decimal notation.
• The second digit is also F, which represents 15 in decimal notation.
• The value of FF in decimal is the sum of the digits multiplied by the corresponding power of 16: 15 * 16^1 + 15 * 16^0 = 255.

Table of Correspondence:

To summarize the relationship between decimals, text, hexadecimal, binary, and octal, we can use the following table:

Decimal	Text	Hexadecimal	Binary	Octal
0	NUL	0	000000	0
1	SOH	1	000001	1
2	STX	2	000010	2
3	ETX	3	000011	3
4	EOT	4	000100	4
5	ENQ	5	000101	5
6	ACK	6	000110	6
7	BEL	7	000111	7
8	BS	8	001000	10
9	HT	9	001001	11
10	LF	A	001010	12
11	VT	B	001011	13
12	FF	C	001100	14
13	CR	D	001101	15
14	SO	E	001110	16
15	SI	F	001111	17
16	DLE	10	010000	20
...	...	...	...	...
32		20	100000	40
...	...	...	...	...
64	@	40	1000000	100
...	...	...	...	...
128		80	10000000	200
...	...	...	...	...

Decimals are the base-10 number framework that we use in our regular routines. This framework has 10 digits, from 0 to 9, and every digit addresses a worth of a force of 10. Decimals are utilized for different purposes, like counting cash, estimating distances, and working out rates. Decimals are straightforward and use, and the vast majority are know about them. Then again, hexadecimals are the base-16 number framework that is generally utilized in registering and computerized frameworks. This framework has 16 digits, from 0 to 9 and from A to F, and every digit addresses a worth of a force of 16. Hexadecimals are utilized to address double digits in a smaller and helpful manner, as each hexadecimal digit can address four paired digits. Hexadecimals are additionally utilized in different applications, like encoding and unraveling information, programming, and advanced circuit plan. The connection among decimals and hexadecimals is clear, as they are both number frameworks that address values in various ways. Changing decimals over completely to hexadecimals as well as the other way around is a basic interaction that includes separating or duplicating by powers of 16 and switching remnants or digits over completely to hexadecimal or decimal digits. All in all, decimals and hexadecimals are fundamental number frameworks in processing and math. The two frameworks have their extraordinary elements and utilizations, and they complete one another in different applications. Understanding the connection between these two number frameworks is vital for anybody working with computerized frameworks, programming, or science.

Table of Decimals

Here's another table showing the correspondence between decimal, text, hexadecimal, binary, and octal values:

Decimal	Text	Hexadecimal	Binary	Octal
0	NUL	0x00	00000000	0
1	SOH	0x01	00000001	1
2	STX	0x02	00000010	2
3	ETX	0x03	00000011	3
4	EOT	0x04	00000100	4
5	ENQ	0x05	00000101	5
6	ACK	0x06	00000110	6
7	BEL	0x07	00000111	7
8	BS	0x08	00001000	10
9	HT	0x09	00001001	11
10	LF	0x0A	00001010	12
11	VT	0x0B	00001011	13
12	FF	0x0C	00001100	14
13	CR	0x0D	00001101	15
14	SO	0x0E	00001110	16
15	SI	0x0F	00001111	17
16	DLE	0x10	00010000	20
32	(space)	0x20	00100000	40
48	0	0x30	00110000	60
49	1	0x31	00110001	61
50	2	0x32	00110010	62
51	3	0x33	00110011	63
52	4	0x34	00110100	64
53	5	0x35	00110101	65
54	6	0x36	00110110	66
55	7	0x37	00110111	67
56	8	0x38	00111000	70
57	9	0x39	00111001	71
65	A	0x41	01000001	101

List of Decimals

• 0
• 1
• 2
• 3
• 4
• 5
• 6
• 7
• 8
• 9
• 10
• 11
• 12
• 13
• 14
• 15
• 16
• 17
• 18
• 19
• 20
• ... (and so on)

This table and list show the decimal values and their corresponding binary, octal, and hexadecimal representations. The table is useful for quickly looking up the conversions, while the list is useful for generating a list of decimals.

How to use

If you are finding it difficult to use this tool, no problem, you can easily use this tool by following the instructions below:

First, you have to enter any decimal number that you want to convert to hexadecimal and then click the convert button.
As soon as you click the convert button, your data will be displayed below.
You can copy any data you want to copy by pressing the copy button below the tool.

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