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Editorial Team
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Editorial Team
Asked: May 31, 20262026-05-31T19:39:23+00:00 2026-05-31T19:39:23+00:00

I am trying to add two larger binary numbers (i.e. number of bits are

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I am trying to add two larger binary numbers (i.e. number of bits are greater than 31) but stuck due to getting NumberFormatException. Below is the line which is throwing exception-

Integer.parseInt(binaryNo, 2);

My idea was to convert both binary numbers into integer first, then adding together after that convert integer to binary back using Integer.toBinaryString(integerSum). But it’s not applicable for binary number having bits larger than 31 as integer overflow occurs. Please tell me any way which can perform large binary number addition in optimized way (minimum time). Thank you.

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  1. Editorial Team
    Editorial Team
    2026-05-31T19:39:24+00:00Added an answer on May 31, 2026 at 7:39 pm

    java.math.BigInteger. Construct it with:

    public BigInteger(String val,
                      int radix)
    

    Your radix in this case is 2. Note that each BigInteger is immutable so you perform arithmetic slightly differently:

    BigInteger i = new BigInteger(...);
    Biginteger j = new BigInteger(...);
    
    BigInteger sum = i.add(j); // neither i nor j are modified
    
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