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Home » Tools » Number System Calculators

Number System Calculators

Michael Austin

Add, subtract, multiply and divide directly in binary, octal, hex or any base to 36 – plus bit shifts and bitmask operations – all exact. Everything runs locally in your browser.

  • Binary Calculator

    Add, subtract, multiply or divide two binary numbers with exact BigInt arithmetic – the addition mode traces every column and carry for your actual operands.

  • Binary Addition Calculator

    Add two binary numbers with a full column-by-column carry trace – see exactly where 1+1 writes 0 and carries 1, for your actual inputs.

  • Binary Subtraction Calculator

    Subtract one binary number from another exactly, including negative results – and see why hardware actually subtracts by adding the two’s complement.

  • Binary Multiplication Calculator

    Multiply two binary numbers exactly, at any length.

  • Binary Division Calculator

    Divide two binary numbers exactly, returning the integer quotient and the remainder separately – the form long division and hardware dividers actually produce.

  • Hex Calculator

    Add, subtract, multiply or divide hexadecimal numbers exactly – with a decimal cross-check in the result so you can verify at a glance.

  • Hex Addition Calculator

    Add two hexadecimal numbers exactly – columns carry at 16, so 8 + 9 writes 1 and carries 1, and the decimal cross-check confirms the result.

  • Hex Subtraction Calculator

    Subtract hexadecimal numbers exactly, including negative results – with borrows worth 16 rather than 10, which is where hand calculations usually slip.

  • Hex Multiplication Calculator

    Multiply hexadecimal numbers of any size exactly.

  • Hex Division Calculator

    Divide hexadecimal numbers exactly, returning quotient and remainder in hex with a decimal cross-check – useful for address arithmetic and alignment calculations.

  • Octal Calculator

    Add, subtract, multiply or divide octal numbers exactly – carries and borrows happen at 8, and the decimal equivalents are shown so every step can be checked.

  • Base-N Calculator

    Do exact arithmetic in ANY base from 2 to 36 – pick the base, pick the operation, and get the result in that base with a decimal cross-check.

  • Binary Bit Shift Calculator

    Shift a value left or right and see the bits move – logical shifts insert zeros, arithmetic right shift copies the sign bit, and every shift is a multiply or divide by two.

  • Binary Bitmask Calculator

    Apply AND, OR, XOR and AND-NOT between a value and a mask, bit by bit – the four operations behind testing, setting, toggling and clearing flags.

Arithmetic without leaving the base: add, subtract, multiply and divide directly in binary, octal, hex or any base to 36 — plus the bit-level operations, shifts and masks, that arithmetic notation hides. Every result is exact and decimal-verified.

The binary addition trace shows carries column by column; the mask calculator aligns operands bit-for-bit.

Arithmetic without leaving the base

Doing arithmetic directly in binary, octal or hex is the same school algorithm you already know, with one substitution: columns carry when they reach the base, not ten. In binary 1 + 1 writes 0 and carries 1; in octal 7 + 1 is 10; in hex 9 + 8 is 11. Every calculator in this family works on exact big-integer arithmetic, so there is no 32-bit or 64-bit ceiling and no silent overflow — and each result carries a decimal cross-check so you can confirm it independently.

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Michael Austin
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Michael Austin is the current owner of Justwebworld and manages the platform’s editorial direction, content strategy, and digital publishing operations. With a strong interest in online media and modern publishing, he focuses on creating informative, engaging, and easy-to-understand content across multiple categories.Under his leadership, Justwebworld continues to grow as a trusted multi-niche digital publication covering technology, business, lifestyle, automotive, sports, travel, and trending internet topics for readers worldwide.

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