Octal Calculator
Perform mathematical and bitwise operations with octal (base 8) numbers. Supports addition, subtraction, multiplication, division, and bitwise operations (AND, OR, XOR, NOT, shifts). Results shown in octal, decimal, binary, and hexadecimal.
Decimal to Octal:
Divide by 8, record remainders from bottom to top
Octal to Decimal:
Sum of (digit × 8^position)
Octal digits: 0-7 only
Divide by 8, record remainders from bottom to top
Octal to Decimal:
Sum of (digit × 8^position)
Octal digits: 0-7 only
Example: Convert 64 to octal
64 ÷ 8 = 8 remainder 0
8 ÷ 8 = 1 remainder 0
1 ÷ 8 = 0 remainder 1
Octal: 100
Verify: (1×64) + (0×8) + 0 = 64 ✓
64 ÷ 8 = 8 remainder 0
8 ÷ 8 = 1 remainder 0
1 ÷ 8 = 0 remainder 1
Octal: 100
Verify: (1×64) + (0×8) + 0 = 64 ✓
🔗 Related Calculators
📐 Formula
Decimal to Octal:
Divide by 8, record remainders from bottom to top
Octal to Decimal:
Sum of (digit × 8^position)
Octal digits: 0-7 only
Divide by 8, record remainders from bottom to top
Octal to Decimal:
Sum of (digit × 8^position)
Octal digits: 0-7 only
📝 Example Calculation
Example: Convert 64 to octal
64 ÷ 8 = 8 remainder 0
8 ÷ 8 = 1 remainder 0
1 ÷ 8 = 0 remainder 1
Octal: 100
Verify: (1×64) + (0×8) + 0 = 64 ✓
64 ÷ 8 = 8 remainder 0
8 ÷ 8 = 1 remainder 0
1 ÷ 8 = 0 remainder 1
Octal: 100
Verify: (1×64) + (0×8) + 0 = 64 ✓