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binary arithmetic

Calculate with signed base-2 integers.

Result (binary)

1000
Remainder (binary)
0
Decimal result / quotient
8

Formula

Read digits in base 2; calculate integers; write back in the same base.

Operation = Add

How to use

  1. Enter two binary integers without prefixes.
  2. Choose an arithmetic operation.
  3. Read the result, remainder and decimal value.

Examples

  • 101 + 11 = 1000 (decimal 8).
  • 1101 ÷ 11 = 100, remainder 1.

Frequently asked questions

How does division work?

The quotient is truncated toward zero. The remainder has the dividend’s sign; dividend = divisor × quotient + remainder.

Which digits can I enter?

Use 0 and 1, with an optional leading + or −.

What is the size limit?

Each input and exact result must fit within ±999999999999999 in decimal. Fractional inputs are not supported.

Sources

Updated:

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