Decimal to Octal Converter
Convert decimal numbers to octal with step-by-step explanations and examples.
10
8
10
Decimal to Octal Converter
Decimal (Base-10)
Valid characters: 0123456789
Octal (Base-8)
Result will appear here
Decimal to Octal Conversion
Conversion Method:
Decimal to Base 8: Use division method
Method:
Divide by target base, collect remainders from bottom to top
Examples with Step-by-Step Solutions
Example 1:
(255)10
=
(377)8
Step-by-Step Solution:
Converting 255₍10₎ to base 8:
Step 2: Convert decimal 255 to base 8
Divide by 8 repeatedly and collect remainders:
255 ÷ 8 = 31 remainder 7
31 ÷ 8 = 3 remainder 7
3 ÷ 8 = 0 remainder 3
Reading remainders from bottom to top: 377₍8₎
Therefore: 255₍10₎ = 377₍8₎
Example 2:
(1024)10
=
(2000)8
Step-by-Step Solution:
Converting 1024₍10₎ to base 8:
Step 2: Convert decimal 1024 to base 8
Divide by 8 repeatedly and collect remainders:
1024 ÷ 8 = 128 remainder 0
128 ÷ 8 = 16 remainder 0
16 ÷ 8 = 2 remainder 0
2 ÷ 8 = 0 remainder 2
Reading remainders from bottom to top: 2000₍8₎
Therefore: 1024₍10₎ = 2000₍8₎
Example 3:
(999)10
=
(1747)8
Step-by-Step Solution:
Converting 999₍10₎ to base 8:
Step 2: Convert decimal 999 to base 8
Divide by 8 repeatedly and collect remainders:
999 ÷ 8 = 124 remainder 7
124 ÷ 8 = 15 remainder 4
15 ÷ 8 = 1 remainder 7
1 ÷ 8 = 0 remainder 1
Reading remainders from bottom to top: 1747₍8₎
Therefore: 999₍10₎ = 1747₍8₎
Example 4:
(512)10
=
(1000)8
Step-by-Step Solution:
Converting 512₍10₎ to base 8:
Step 2: Convert decimal 512 to base 8
Divide by 8 repeatedly and collect remainders:
512 ÷ 8 = 64 remainder 0
64 ÷ 8 = 8 remainder 0
8 ÷ 8 = 1 remainder 0
1 ÷ 8 = 0 remainder 1
Reading remainders from bottom to top: 1000₍8₎
Therefore: 512₍10₎ = 1000₍8₎