Forem: harshraj8843

How to Convert Decimal to ASCII

harshraj8843 — Sun, 24 Sep 2023 02:44:04 +0000

Converting decimal to ASCII is a common task in computer programming. ASCII is a character encoding standard that assigns a unique number to each character. Decimal, on the other hand, is a base-10 number system that uses ten digits, 0 through 9. Converting decimal to ASCII involves looking up the ASCII character corresponding to each decimal value using an ASCII table.

Conversion

Here's a step-by-step guide on how to convert decimal to ASCII:

Choose the decimal value you want to convert to ASCII.
Look up the ASCII character corresponding to the decimal value using an ASCII table.

Example

Let's walk through an example to illustrate the process. Suppose we want to convert the decimal value 65 to ASCII.

The decimal value we want to convert is 65.
We look up the ASCII character corresponding to the decimal value using an ASCII table. The ASCII character corresponding to 65 is 'A'.

ASCII Table

Character	Description	Decimal
0	Zero	48
1	One	49
2	Two	50
3	Three	51
4	Four	52
5	Five	53
6	Six	54
7	Seven	55
8	Eight	56
9	Nine	57
A	Capital A	65
B	Capital B	66
C	Capital C	67
D	Capital D	68
E	Capital E	69
F	Capital F	70
G	Capital G	71
H	Capital H	72
I	Capital I	73
J	Capital J	74
K	Capital K	75
L	Capital L	76
M	Capital M	77
N	Capital N	78
O	Capital O	79
P	Capital P	80
Q	Capital Q	81
R	Capital R	82
S	Capital S	83
T	Capital T	84
U	Capital U	85
V	Capital V	86
W	Capital W	87
X	Capital X	88
Y	Capital Y	89
Z	Capital Z	90
a	Small a	97
b	Small b	98
c	Small c	99
d	Small d	100
e	Small e	101
f	Small f	102
g	Small g	103
h	Small h	104
i	Small i	105
j	Small j	106
k	Small k	107
l	Small l	108
m	Small m	109
n	Small n	110
o	Small o	111
p	Small p	112
q	Small q	113
r	Small r	114
s	Small s	115
t	Small t	116
u	Small u	117
v	Small v	118
w	Small w	119
x	Small x	120
y	Small y	121
z	Small z	122

See full ascii table here.

Sample Code

This code requires @ilihub/code npm package to run.

import { DecimalToAscii } from "@ilihub/code";

const decimal = 72;

const ascii = DecimalToAscii(decimal);
console.log(ascii);

// Output
// H

References

How to Convert Binary to Octal

harshraj8843 — Wed, 20 Sep 2023 18:32:18 +0000

Converting binary to octal is a common task in computer programming. Binary is a base-2 number system that uses only two digits, 0 and 1. Octal, on the other hand, is a base-8 number system that uses eight digits, 0 through 7. Converting binary to octal involves grouping the binary digits into groups of 3 and converting each group to its corresponding octal value.

Conversion

Here's a step-by-step guide on how to convert binary to octal:

Choose the binary number you want to convert to octal.
Group the binary digits into groups of 3, starting from the rightmost digit. If the leftmost group has less than 3 digits, pad it with leading zeros.
Convert each group of 3 binary digits to its corresponding octal value using the table below.

Example

Let's walk through an example to illustrate the process. Suppose we want to convert the binary number 11011010 to octal.

The binary number we want to convert is 11011010.
We group the binary digits into groups of 3: 011 and 011 and 010.
We convert each group of 3 binary digits to its corresponding octal value using the table below. The octal value of 011 is 3, and the octal value of 010 is 2.
The octal representation of the binary number 11011010 is 332.

Binary-Octal Table

Binary	Octal
000	0
001	1
010	2
011	3
100	4
101	5
110	6
111	7

Sample Code

This code requires @ilihub/code npm package to run.

import { BinaryToOctal } from "@ilihub/code";

const binary = "10000000";

const octal = BinaryToOctal(binary);
console.log(octal);

// Output
// 200

References

How to Convert Binary to Hexadecimal

harshraj8843 — Wed, 20 Sep 2023 18:29:40 +0000

Converting binary to hexadecimal is a common task in computer programming. Binary is a base-2 number system that uses only two digits, 0 and 1. Hexadecimal, on the other hand, is a base-16 number system that uses sixteen digits, 0 through 9 and A through F. Converting binary to hexadecimal involves grouping the binary digits into groups of 4 and converting each group to its corresponding hexadecimal value.

Conversion

Here's a step-by-step guide on how to convert binary to hexadecimal:

Choose the binary number you want to convert to hexadecimal.
Group the binary digits into groups of 4, starting from the rightmost digit. If the leftmost group has less than 4 digits, pad it with leading zeros.
Convert each group of 4 binary digits to its corresponding hexadecimal value using the table below.

Example

Let's walk through an example to illustrate the process. Suppose we want to convert the binary number 11011010 to hexadecimal.

The binary number we want to convert is 11011010.
We group the binary digits into groups of 4: 1101 and 1010.
We convert each group of 4 binary digits to its corresponding hexadecimal value using the table below. The hexadecimal value of 1101 is D, and the hexadecimal value of 1010 is A.
The hexadecimal representation of the binary number 11011010 is DA.

Binary-Hexadecimal Table

Binary	Hexadecimal
0000	0
0001	1
0010	2
0011	3
0100	4
0101	5
0110	6
0111	7
1000	8
1001	9
1010	A
1011	B
1100	C
1101	D
1110	E
1111	F

Sample Code

This code requires @ilihub/code npm package to run.

import { BinaryToHexadecimal } from "@ilihub/code";

const binary = "10000000";

const hexadecimal = BinaryToHexadecimal(binary);
console.log(hexadecimal);

// Output
// 80

References

How to Convert Binary to Decimal

harshraj8843 — Wed, 20 Sep 2023 18:27:39 +0000

Converting binary to decimal is a common task in computer programming. Binary is a base-2 number system that uses only two digits, 0 and 1. Decimal, on the other hand, is a base-10 number system that uses ten digits, 0 through 9. Converting binary to decimal involves multiplying each digit of the binary number by its corresponding power of 2 and adding up the results.

Conversion

Here's a step-by-step guide on how to convert binary to decimal:

Choose the binary number you want to convert to decimal.
Write down the powers of 2 from right to left, starting with $2^0$ .
Multiply each digit of the binary number by its corresponding power of 2.
Add up the results from step 3 to get the decimal value.

Example

Let's walk through an example to illustrate the process. Suppose we want to convert the binary number 1011 to decimal.

The binary number we want to convert is 1011.
The powers of 2 from right to left are $2^0$ , $2^1$ , $2^2$ , and $2^3$
We multiply each digit of the binary number by its corresponding power of 2. The results are: $\times 2^0 = 1$ , $\times 2^1 = 2$ , $\times 2^2 = 0$ , and $\times 2^3 = 8$
We add up the results from step 3 to get the decimal value.

1 + 2 + 0 + 8 = 11

Therefore, the decimal value of the binary number 1011 is 11.

Binary-Decimal Table

Here's a table that shows the decimal values of the first 16 binary numbers:

Binary	Decimal
0000	0
0001	1
0010	2
0011	3
0100	4
0101	5
0110	6
0111	7
1000	8
1001	9
1010	10
1011	11
1100	12
1101	13
1110	14
1111	15

Sample Code

This code requires @ilihub/code npm package to run.

import { BinaryToDecimal } from "@ilihub/code";

const binary = "10000000";

const decimal = BinaryToDecimal(binary);
console.log(decimal);

// Output
// 128

References

How to Convert Binary to ASCII

harshraj8843 — Wed, 20 Sep 2023 18:17:17 +0000

Converting binary to ASCII is a common task in computer programming. Binary is a base-2 number system that uses only two digits, 0 and 1. ASCII, on the other hand, is a character encoding standard that assigns a unique number to each character. Converting binary to ASCII involves converting each group of 8 bits (1 byte) to its corresponding ASCII character.

Conversion

Here's a step-by-step guide on how to convert binary to ASCII:

Choose the binary value you want to convert to ASCII.
Divide the binary value into groups of 8 bits (1 byte).
Convert each group of 8 bits to its decimal value using the binary-to-decimal conversion method.
Look up the ASCII character corresponding to each decimal value using an ASCII table.

Example

Let's walk through an example to illustrate the process. Suppose we want to convert the binary value 10000010100001001000011 to ASCII.

The binary value we want to convert is 10000010100001001000011.
We divide the binary value into groups of 8 bits: 01000001, 01000010, and 01000011.
We convert each group of 8 bits to its decimal value using the binary-to-decimal conversion method. The decimal values are 65, 66, and 67.
We look up the ASCII character corresponding to each decimal value using an ASCII table. The ASCII characters are 'A', 'B', and 'C'.
The ASCII representation of the binary value 10000010100001001000011 is "ABC".

ASCII-Binary Table

Here's a table of the ASCII characters and their corresponding binary values:

Character	Description	Decimal	Binary
0	Zero	48	00110000
1	One	49	00110001
2	Two	50	00110010
3	Three	51	00110011
4	Four	52	00110100
5	Five	53	00110101
6	Six	54	00110110
7	Seven	55	00110111
8	Eight	56	00111000
9	Nine	57	00111001
A	Capital A	65	01000001
B	Capital B	66	01000010
C	Capital C	67	01000011
D	Capital D	68	01000100
E	Capital E	69	01000101
F	Capital F	70	01000110
G	Capital G	71	01000111
H	Capital H	72	01001000
I	Capital I	73	01001001
J	Capital J	74	01001010
K	Capital K	75	01001011
L	Capital L	76	01001100
M	Capital M	77	01001101
N	Capital N	78	01001110
O	Capital O	79	01001111
P	Capital P	80	01010000
Q	Capital Q	81	01010001
R	Capital R	82	01010010
S	Capital S	83	01010011
T	Capital T	84	01010100
U	Capital U	85	01010101
V	Capital V	86	01010110
W	Capital W	87	01010111
X	Capital X	88	01011000
Y	Capital Y	89	01011001
Z	Capital Z	90	01011010
a	Small a	97	01100001
b	Small b	98	01100010
c	Small c	99	01100011
d	Small d	100	01100100
e	Small e	101	01100101
f	Small f	102	01100110
g	Small g	103	01100111
h	Small h	104	01101000
i	Small i	105	01101001
j	Small j	106	01101010
k	Small k	107	01101011
l	Small l	108	01101100
m	Small m	109	01101101
n	Small n	110	01101110
o	Small o	111	01101111
p	Small p	112	01110000
q	Small q	113	01110001
r	Small r	114	01110010
s	Small s	115	01110011
t	Small t	116	01110100
u	Small u	117	01110101
v	Small v	118	01110110
w	Small w	119	01110111
x	Small x	120	01111000
y	Small y	121	01111001
z	Small z	122	01111010

See full ascii table here.

Sample Code

This code requires @ilihub/code npm package to run.

import { BinaryToAscii } from "@ilihub/code";

const binary =
  "0100100001100101011011000110110001101111001000000101011101101111011100100110110001100100";

const ascii = BinaryToAscii(binary);
console.log(ascii);

// Output
// Hello World

References

How to Convert ASCII to Octal

harshraj8843 — Tue, 19 Sep 2023 16:27:18 +0000

Converting ASCII to octal is a common task in computer programming. ASCII is a character encoding standard that assigns a unique number to each character. Octal, on the other hand, is a base-8 number system that uses eight digits, 0 through 7. Converting ASCII to octal involves converting each character to its corresponding octal value.

Conversion

Here's a step-by-step guide on how to convert ASCII to octal:

Choose the ASCII character you want to convert to octal.
Convert the ASCII character to its decimal value using an ASCII table.
Convert the decimal value to octal using the division-by-8 method.
Pad the octal value with leading zeros to make it 3 digits long (if necessary).

Example

Let's walk through an example to illustrate the process. Suppose we want to convert the ASCII character 'A' to octal.

The ASCII value of 'A' is 65.
To convert 65 to octal, we use the division-by-8 method. We divide 65 by 8 and get a quotient of 8 with a remainder of 1. We write down the remainder (1) as the least significant digit of the octal value. We then divide 8 by 8 and get a quotient of 1 with a remainder of 0. We write down the remainder (0) as the next digit of the octal value. We continue this process until we have 3 digits. The octal value of 65 is 101.
Since the octal value we obtained in step 2 is only 3 digits long, we don't need to pad it with leading zeros.

Quotient	Remainder	Octal
$65/8 = 8$	1	1
$8/8 = 1$	0	01
$1/8 = 0$	1	101

ASCII-Octal Table

Here's a table that shows the ASCII values of all characters and their corresponding octal values:

Character	Description	Decimal	Octal
0	Zero	48	60
1	One	49	61
2	Two	50	62
3	Three	51	63
4	Four	52	64
5	Five	53	65
6	Six	54	66
7	Seven	55	67
8	Eight	56	70
9	Nine	57	71
A	Capital A	65	101
B	Capital B	66	102
C	Capital C	67	103
D	Capital D	68	104
E	Capital E	69	105
F	Capital F	70	106
G	Capital G	71	107
H	Capital H	72	110
I	Capital I	73	111
J	Capital J	74	112
K	Capital K	75	113
L	Capital L	76	114
M	Capital M	77	115
N	Capital N	78	116
O	Capital O	79	117
P	Capital P	80	120
Q	Capital Q	81	121
R	Capital R	82	122
S	Capital S	83	123
T	Capital T	84	124
U	Capital U	85	125
V	Capital V	86	126
W	Capital W	87	127
X	Capital X	88	130
Y	Capital Y	89	131
Z	Capital Z	90	132
a	Small a	97	141
b	Small b	98	142
c	Small c	99	143
d	Small d	100	144
e	Small e	101	145
f	Small f	102	146
g	Small g	103	147
h	Small h	104	150
i	Small i	105	151
j	Small j	106	152
k	Small k	107	153
l	Small l	108	154
m	Small m	109	155
n	Small n	110	156
o	Small o	111	157
p	Small p	112	160
q	Small q	113	161
r	Small r	114	162
s	Small s	115	163
t	Small t	116	164
u	Small u	117	165
v	Small v	118	166
w	Small w	119	167
x	Small x	120	170
y	Small y	121	171
z	Small z	122	172

See full ascii table here.

Sample Code

This code requires @ilihub/code npm package to run.

import { AsciiToOctal } from "@ilihub/code";

const ascii = "Hello World";

const octal = AsciiToOctal(ascii);
console.log(octal);

// Output
// 110145154154157040127157162154144

References

How to Convert ASCII to Hexadecimal

harshraj8843 — Tue, 19 Sep 2023 16:21:20 +0000

Converting ASCII to hexadecimal is a common task in computer programming. ASCII is a character encoding standard that assigns a unique number to each character. Hexadecimal, on the other hand, is a base-16 number system that uses sixteen digits, 0 through 9 and A through F. Converting ASCII to hexadecimal involves converting each character to its corresponding hexadecimal value.

Conversion

Here's a step-by-step guide on how to convert ASCII to hexadecimal:

Choose the ASCII character you want to convert to hexadecimal.
Convert the ASCII character to its decimal value using an ASCII table.
Convert the decimal value to hexadecimal using the division-by-16 method.
Pad the hexadecimal value with leading zeros to make it 2 digits long (if necessary).

Example

Let's walk through an example to illustrate the process. Suppose we want to convert the ASCII character 'A' to hexadecimal.

The ASCII value of 'A' is 65.
To convert 65 to hexadecimal, we use the division-by-16 method. We divide 65 by 16 and get a quotient of 4 with a remainder of 1. We write down the remainder (1) as the least significant digit of the hexadecimal value. We then divide 4 by 16 and get a quotient of 0 with a remainder of 4. We write down the remainder (4) as the next digit of the hexadecimal value. The hexadecimal value of 65 is 41.
Since the hexadecimal value we obtained in step 2 is only 2 digits long, we don't need to pad it with leading zeros.

Quotient	Remainder	Hexadecimal
$65/16 = 4$	1	1
$4/16 = 0$	4	41

ASCII-Hexadecimal Table

Here's a table of the ASCII characters and their corresponding hexadecimal values:

Character	Description	Decimal	Hexadecimal
0	Zero	48	30
1	One	49	31
2	Two	50	32
3	Three	51	33
4	Four	52	34
5	Five	53	35
6	Six	54	36
7	Seven	55	37
8	Eight	56	38
9	Nine	57	39
A	Capital A	65	41
B	Capital B	66	42
C	Capital C	67	43
D	Capital D	68	44
E	Capital E	69	45
F	Capital F	70	46
G	Capital G	71	47
H	Capital H	72	48
I	Capital I	73	49
J	Capital J	74	4A
K	Capital K	75	4B
L	Capital L	76	4C
M	Capital M	77	4D
N	Capital N	78	4E
O	Capital O	79	4F
P	Capital P	80	50
Q	Capital Q	81	51
R	Capital R	82	52
S	Capital S	83	53
T	Capital T	84	54
U	Capital U	85	55
V	Capital V	86	56
W	Capital W	87	57
X	Capital X	88	58
Y	Capital Y	89	59
Z	Capital Z	90	5A
a	Small a	97	61
b	Small b	98	62
c	Small c	99	63
d	Small d	100	64
e	Small e	101	65
f	Small f	102	66
g	Small g	103	67
h	Small h	104	68
i	Small i	105	69
j	Small j	106	6A
k	Small k	107	6B
l	Small l	108	6C
m	Small m	109	6D
n	Small n	110	6E
o	Small o	111	6F
p	Small p	112	70
q	Small q	113	71
r	Small r	114	72
s	Small s	115	73
t	Small t	116	74
u	Small u	117	75
v	Small v	118	76
w	Small w	119	77
x	Small x	120	78
y	Small y	121	79
z	Small z	122	7A

See full ascii table here.

Sample Code

This code requires @ilihub/code npm package to run.

import { AsciiToHexadecimal } from "@ilihub/code";

const ascii = "Hello World";

const hexadecimal = AsciiToHexadecimal(ascii);
console.log(hexadecimal);

// Output
// 48656C6C6F20576F726C64

References

How to Convert ASCII to Decimal

harshraj8843 — Tue, 19 Sep 2023 16:15:25 +0000

Converting ASCII to decimal is a common task in computer programming. ASCII is a character encoding standard that assigns a unique number to each character. Decimal, on the other hand, is a base-10 number system that uses ten digits, 0 through 9. Converting ASCII to decimal involves converting each character to its corresponding decimal value.

Conversion

Here's a step-by-step guide on how to convert ASCII to decimal:

Choose the ASCII character you want to convert to decimal.
Look up the decimal value of the ASCII character using an ASCII table.

Example

Let's walk through an example to illustrate the process. Suppose we want to convert the ASCII character 'A' to decimal.

The ASCII value of 'A' is 65.
The decimal value of 'A' is also 65.

ASCII Table

Character	Description	Decimal
0	Zero	48
1	One	49
2	Two	50
3	Three	51
4	Four	52
5	Five	53
6	Six	54
7	Seven	55
8	Eight	56
9	Nine	57
A	Capital A	65
B	Capital B	66
C	Capital C	67
D	Capital D	68
E	Capital E	69
F	Capital F	70
G	Capital G	71
H	Capital H	72
I	Capital I	73
J	Capital J	74
K	Capital K	75
L	Capital L	76
M	Capital M	77
N	Capital N	78
O	Capital O	79
P	Capital P	80
Q	Capital Q	81
R	Capital R	82
S	Capital S	83
T	Capital T	84
U	Capital U	85
V	Capital V	86
W	Capital W	87
X	Capital X	88
Y	Capital Y	89
Z	Capital Z	90
a	Small a	97
b	Small b	98
c	Small c	99
d	Small d	100
e	Small e	101
f	Small f	102
g	Small g	103
h	Small h	104
i	Small i	105
j	Small j	106
k	Small k	107
l	Small l	108
m	Small m	109
n	Small n	110
o	Small o	111
p	Small p	112
q	Small q	113
r	Small r	114
s	Small s	115
t	Small t	116
u	Small u	117
v	Small v	118
w	Small w	119
x	Small x	120
y	Small y	121
z	Small z	122

See full ascii table here.

Sample Code

This code requires @ilihub/code npm package to run.

import { AsciiToDecimal } from "@ilihub/code";

const ascii = "Hello World";

const decimal = AsciiToDecimal(ascii);
console.log(decimal);

// Output
// [72, 101, 108, 108, 111, 32, 87, 111, 114, 108, 100]

References

How to Convert ASCII to Binary

harshraj8843 — Tue, 19 Sep 2023 16:10:07 +0000

Converting ASCII to binary is a common task in computer programming. ASCII is a character encoding standard that assigns a unique number to each character. Binary, on the other hand, is a base-2 number system that uses only two digits, 0 and 1. Converting ASCII to binary involves converting each character to its corresponding binary value.

Conversion

Here's a step-by-step guide on how to convert ASCII to binary:

Choose the ASCII character you want to convert to binary.
Convert the ASCII character to its decimal value using an ASCII table.
Convert the decimal value to binary using the division-by-2 method.
Pad the binary value with leading zeros to make it 8 bits long (if necessary).

Example

Let's walk through an example to illustrate the process. Suppose we want to convert the ASCII character 'A' to binary.

The ASCII value of 'A' is 65.
To convert 65 to binary, we use the division-by-2 method. We divide 65 by 2 and get a quotient of 32 with a remainder of 1. We write down the remainder (1) as the least significant bit of the binary value. We then divide 32 by 2 and get a quotient of 16 with a remainder of 0. We write down the remainder (0) as the next bit of the binary value. We continue this process until we have 8 bits. The binary value of 65 is 01000001.
Since the binary value we obtained in step 2 is already 8 bits long, we don't need to pad it with leading zeros.

Quotient	Remainder	Binary Value
$65/2 = 32$	1	1
$32/2 = 16$	0	01
$16/2 = 8$	0	001
$8/2 = 4$	0	0001
$4/2 = 2$	0	00001
$2/2 = 1$	0	000001
$1/2 = 0$	1	1000001

ASCII-Binary Table

Here's a table of the ASCII characters and their corresponding binary values:

Character	Description	Decimal	Binary
0	Zero	48	00110000
1	One	49	00110001
2	Two	50	00110010
3	Three	51	00110011
4	Four	52	00110100
5	Five	53	00110101
6	Six	54	00110110
7	Seven	55	00110111
8	Eight	56	00111000
9	Nine	57	00111001
A	Capital A	65	01000001
B	Capital B	66	01000010
C	Capital C	67	01000011
D	Capital D	68	01000100
E	Capital E	69	01000101
F	Capital F	70	01000110
G	Capital G	71	01000111
H	Capital H	72	01001000
I	Capital I	73	01001001
J	Capital J	74	01001010
K	Capital K	75	01001011
L	Capital L	76	01001100
M	Capital M	77	01001101
N	Capital N	78	01001110
O	Capital O	79	01001111
P	Capital P	80	01010000
Q	Capital Q	81	01010001
R	Capital R	82	01010010
S	Capital S	83	01010011
T	Capital T	84	01010100
U	Capital U	85	01010101
V	Capital V	86	01010110
W	Capital W	87	01010111
X	Capital X	88	01011000
Y	Capital Y	89	01011001
Z	Capital Z	90	01011010
a	Small a	97	01100001
b	Small b	98	01100010
c	Small c	99	01100011
d	Small d	100	01100100
e	Small e	101	01100101
f	Small f	102	01100110
g	Small g	103	01100111
h	Small h	104	01101000
i	Small i	105	01101001
j	Small j	106	01101010
k	Small k	107	01101011
l	Small l	108	01101100
m	Small m	109	01101101
n	Small n	110	01101110
o	Small o	111	01101111
p	Small p	112	01110000
q	Small q	113	01110001
r	Small r	114	01110010
s	Small s	115	01110011
t	Small t	116	01110100
u	Small u	117	01110101
v	Small v	118	01110110
w	Small w	119	01110111
x	Small x	120	01111000
y	Small y	121	01111001
z	Small z	122	01111010

See full ascii table here.

Sample Code

This code requires @ilihub/code npm package to run.

import { AsciiToBinary } from "@ilihub/code";

const ascii = "Hello World";

const binary = AsciiToBinary(ascii);
console.log(binary);

// Output
// 0100 1000 0110 0101 0110 1100 0110 1100 0110 1111 0010
// 0000 0101 0111 0110 1111 0111 0010 0110 1100 0110 0100

References

What is an Octal Number?

harshraj8843 — Mon, 18 Sep 2023 16:42:01 +0000

An octal number is a number that uses the base-8 numbering system. This means that each digit in an octal number represents a power of 8. Octal numbers are not as commonly used as decimal or hexadecimal numbers, but they are still used in some areas of computing.

In the octal numbering system, the digits 0-7 represent the values 0-7. For example, the octal number 123 can be represented as:

\times 8^2 + 2 \times 8^1 + 3 \times 8^0

In this representation, the first digit (1) represents 64 ( $\times 8^2$ ), the second digit (2) represents 16 ( $\times 8^1$ ), and the third digit (3) represents 3 ( $\times 8^0$ ). When you add these values together, you get the decimal number 83.

\times 8^2 + 2 \times 8^1 + 3 \times 8^0 = 64 + 16 + 3 = 83

In addition to octal numbers, there are other numbering systems, such as binary and hexadecimal, that are used in computing. However, octal numbers are not as commonly used as these other numbering systems.

Examples

The following table shows the decimal, binary & octal representations of the numbers 0 through 7:

Decimal	Binary	Octal
0	000	0
1	001	1
2	010	2
3	011	3
4	100	4
5	101	5
6	110	6
7	111	7

References

What is a Hexadecimal Number?

harshraj8843 — Mon, 18 Sep 2023 16:37:43 +0000

A hexadecimal number is a number that uses the base-16 numbering system. This means that each digit in a hexadecimal number represents a power of 16. Hexadecimal numbers are often used in computing because they can represent large numbers in a compact form.

In the hexadecimal numbering system, the digits 0-9 represent the values 0-9, and the letters A-F represent the values 10-15. For example, the hexadecimal number 1A can be represented as:

\times 16^1 + A \times 16^0

In this representation, the first digit (1) represents 16 ( $\times 16^1$ ), and the second digit (A) represents 10 ( $10 \times 16^0$ ). When you add these values together, you get the decimal number 26.

\times 16^1 + A \times 16^0 = 16 + 10 = 26

In addition to hexadecimal numbers, there are other numbering systems, such as binary and decimal, that are used in computing. However, hexadecimal numbers are particularly useful because they can represent large numbers in a compact form and are easy to convert to binary.

Examples

The following table shows the decimal, binary & hexadecimal representations of the numbers 0 through 15:

Decimal	Binary	Hexadecimal
0	0000	0
1	0001	1
2	0010	2
3	0011	3
4	0100	4
5	0101	5
6	0110	6
7	0111	7
8	1000	8
9	1001	9
10	1010	A
11	1011	B
12	1100	C
13	1101	D
14	1110	E
15	1111	F

References

What is a Decimal Number?

harshraj8843 — Mon, 18 Sep 2023 16:30:39 +0000

A decimal number is a number that uses the base-10 numbering system. This means that each digit in a decimal number represents a power of 10. For example, the number 1234 is a decimal number because it can be represented as:

\times 10^3 + 2 \times 10^2 + 3 \times 10^1 + 4 \times 10^0

In this representation, the first digit (1) represents 1,000 ( $10^3$ ), the second digit (2) represents 200 ( $\times 10^2$ ), the third digit (3) represents 30 ( $\times 10^1$ ), and the fourth digit (4) represents 4 ( $\times 10^0$ ). When you add these values together, you get the decimal number 1234.

\times 10^3 + 2 \times 10^2 + 3 \times 10^1 + 4 \times 10^0 = 1000 + 200 + 30 + 4 = 1234

In addition to decimal numbers, there are other numbering systems, such as binary and hexadecimal, that are used in computing. However, decimal numbers are the most commonly used numbering system in everyday life and in computing.