Binary Calculator

Binary Value 1:
Operation: + - * /
Binary Value 2:

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Binary Value:

Convert to Decimal

Decimal Value:

Convert to Binary

Binary Addition

Binary addition follows the same rules as decimal addition, with the value 2 in binary being equivalent to 10 in decimal. Carry-over occurs when the result of addition equals 2. For example:

          10
         +11
         ----
          100
        

Binary Subtraction

Binary subtraction is similar to decimal subtraction, with borrowing occurring when necessary. For example:

         -11
         -01
         ----
          10
        

Binary Multiplication

Binary multiplication is simpler than decimal multiplication since the results are either the same as the first term or 0. Placeholders with 0s are added as needed. For example:

          10111
        x   11
        ------
          10111
         00000
         10111
        10111
       10111
        ------
        1000101
        

Binary Division

Binary division is similar to long division in the decimal system. The dividend is divided by the divisor using binary subtraction. For example:

          10101
         ÷  11
         ------
             1
           -----
             0
           -----
             1
           -----