How to Convert Decimal to Binary, Octal and Hex

July 17, 2023

How to convert decimal to binary

https://go4itfreetools.blogspot.com/2023/07/How-Convert-Decimal-Binary-Octal-Hex.html

Conversion steps:

Divide the number by 2.
Get the integer quotient for the next iteration.
Get the remainder for the binary digit.
Repeat the steps until the quotient is equal to 0.

Example #1

Convert 1310 to binary:

Division by 2	Quotient	Remainder	Bit #
13/2	6	1	0
6/2	3	0	1
3/2	1	1	2
1/2	0	1	3

So 1310 = 11012

Example #2

Convert 17410 to binary:

Division by 2	Quotient	Remainder	Bit #
174/2	87	0	0
87/2	43	1	1
43/2	21	1	2
21/2	10	1	3
10/2	5	0	4
5/2	2	1	5
2/2	1	0	6
1/2	0	1	7

So 17410 = 101011102

Decimal to binary conversion table

Decimal Number	Binary Number	Hex Number
0	0	0
1	1	1
2	10	2
3	11	3
4	100	4
5	101	5
6	110	6
7	111	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
16	10000	10
17	10001	11
18	10010	12
19	10011	13
20	10100	14
21	10101	15
22	10110	16
23	10111	17
24	11000	18
25	11001	19
26	11010	1A
27	11011	1B
28	11100	1C
29	11101	1D
30	11110	1E
31	11111	1F
32	100000	20
64	1000000	40
128	10000000	80
256	100000000	100

Octal to Decimal converter ►

How to convert from decimal to octal

Conversion steps:

Divide the number by 8.
Get the integer quotient for the next iteration.
Get the remainder for the octal digit.
Repeat the steps until the quotient is equal to 0.

Example #1

Convert 756210 to octal:

Division by 8	Quotient (integer)	Remainder (decimal)	Remainder (octal)	Digit #
7562/8	945	2	2	0
945/8	118	1	1	1
118/8	14	6	6	2
14/8	1	6	6	3
1/8	0	1	1	4

So 756210 = 166128

Example #2

Convert 3563110 to octal:

Division by 8	Quotient	Remainder (decimal)	Remainder (octal)	Digit #
35631/8	4453	7	7	0
4453/8	556	5	5	1
556/8	69	4	4	2
69/8	8	5	5	3
8/8	1	0	0	4
1/8	0	1	1	5

So 3563110 = 1054578

Decimal to octal conversion table

Decimal base 10	Octal base 8
0	0
1	1
2	2
3	3
4	4
5	5
6	6
7	7
8	10
9	11
10	12
11	13
12	14
13	15
14	16
15	17
16	20
17	21
18	22
19	23
20	24
21	25
22	26
23	27
24	30
25	31
26	32
27	33
28	34
29	35
30	36
40	50
50	62
60	74
70	106
80	120
90	132
100	144
200	310
1000	1750
2000	3720

How to convert from decimal to hex

Conversion steps:

Divide the number by 16.
Get the integer quotient for the next iteration.
Get the remainder for the hex digit.
Repeat the steps until the quotient is equal to 0.

Example #1

Convert 756210 to hex:

Division by 16	Quotient (integer)	Remainder (decimal)	Remainder (hex)	Digit #
7562/16	472	10	A	0
472/16	29	8	8	1
29/16	1	13	D	2
1/16	0	1	1	3

So 756210 = 1D8A16

Example #2

Convert 3563110 to hex:

Division by 16	Quotient	Remainder (decimal)	Remainder (hex)	Digit #
35631/16	2226	15	F	0
2226/16	139	2	2	1
139/16	8	11	B	2
8/16	0	8	8	3

So 3563110 = 8B2F16

Decimal to hex conversion table

Decimal base 10	Hex base 16
0	0
1	1
2	2
3	3
4	4
5	5
6	6
7	7
8	8
9	9
10	A
11	B
12	C
13	D
14	E
15	F
16	10
17	11
18	12
19	13
20	14
21	15
22	16
23	17
24	18
25	19
26	1A
27	1B
28	1C
29	1D
30	1E
40	28
50	32
60	3C
70	46
80	50
90	5A
100	64
200	C8
1000	3E8
2000	7D0

Hex to decimal converter ►