Online Number Systems Converter
Convert numerical values between binary (base-2), octal (base-8), decimal (base-10), and hexadecimal (base-16) radix systems with complete breakdown.
255
1111 1111
0xFF
0o377
Bitwise Logical Operations
Compute AND, OR, XOR, NOT operations on integers
| Operation | DEC | HEX | Binary view (8/16 bits) |
|---|---|---|---|
| A AND B (A & B) | 8 | 0x8 | 00000000 00001000 |
| A OR B (A | B) | 14 | 0xE | 00000000 00001110 |
| A XOR B (A ^ B) | 6 | 0x6 | 00000000 00000110 |
| NOT A (~A) | -13 | 0xFFFFFFF3 | 11111111 11110011 |
How to use
- Select origin radix system (BIN, OCT, DEC, HEX).
- Input valid digit sequence for selected base.
- View immediate multi-base conversion table across all radices.
Number Base Conversion Examples
Decimal 10 (DEC) = 1010 (BIN) = 12 (OCT) = A (HEX).
Decimal 15 (DEC) = 1111 (BIN) = 17 (OCT) = F (HEX).
Decimal 255 (DEC) = 11111111 (BIN) = 377 (OCT) = FF (HEX).
Calculation Methodology
Positional numeral representations expand each digit multiplied by base powers. Decimal conversions use repeated division by radix with remainder recording.
Frequently Asked Questions
What bases are primarily used in computing?
Binary (base-2), octal (base-8), decimal (base-10), and hexadecimal (base-16).
What digits are used in Hexadecimal (HEX)?
Digits 0–9 and alphabetic letters A (10), B (11), C (12), D (13), E (14), F (15).
How to convert binary directly into hexadecimal?
Group bits into 4-bit nibbles starting from the least significant bit, mapping each nibble directly to its hex digit.
Are fractional radix conversions supported?
Yes, fractional numbers are transformed by successively multiplying fractional remainder by destination radix.
Related Tools
Compound Interest Calculator
Calculate monthly investment growth with compounding interest.
Cash Loan Calculator
Calculate monthly payment, total interest, and comparison between annuity and differentiated loans.
Mortgage Early Payoff
Evaluate interest saved and mortgage term reduction with extra principal payments.
Customs Clearance Calculator (EU & USA)
Calculates vehicle customs clearance taxes in Ukraine: import duty, excise tax, VAT, and US import delivery fees.