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How to convert a Binary String to a base 10 integer in Java

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How do you convert binary to base ten?

Add extra 0s to the front of the list if you have to. To convert the binary representation into a negative number, “flip” the sequence so that each 0 becomes a 1 and each 1 becomes a 0. Add 1 to the sequence to get your final answer. Remember that 1 + 1 = 10 in binary.

How do you read a binary string in Java?

toBinaryString() method returns a string representation of the integer argument as an unsigned integer in base 2. It accepts an argument in Int data-type and returns the corresponding binary string.

How do you convert a string to a binary number?

To convert a string to binary, we first append the string's individual ASCII values to a list ( l ) using the ord(_string) function. This function gives the ASCII value of the string (i.e., ord(H) = 72 , ord(e) = 101). Then, from the list of ASCII values we can convert them to binary using bin(_integer) .


You need to specify the radix. There's an overload of Integer#parseInt() which allows you to.

int foo = Integer.parseInt("1001", 2);

This might work:

public int binaryToInteger(String binary) {
    char[] numbers = binary.toCharArray();
    int result = 0;
    for(int i=numbers.length - 1; i>=0; i--)
        if(numbers[i]=='1')
            result += Math.pow(2, (numbers.length-i - 1));
    return result;
}

int foo = Integer.parseInt("1001", 2);

works just fine if you are dealing with positive numbers but if you need to deal with signed numbers you may need to sign extend your string then convert to an Int

public class bit_fun {
    public static void main(String[] args) {
        int x= (int)Long.parseLong("FFFFFFFF", 16);
        System.out.println("x =" +x);       

        System.out.println(signExtend("1"));
        x= (int)Long.parseLong(signExtend("1"), 2);
        System.out.println("x =" +x);

        System.out.println(signExtend("0"));
        x= (int)Long.parseLong(signExtend("0"), 2);
        System.out.println("x =" +x);

        System.out.println(signExtend("1000"));
        x= (int)Long.parseLong(signExtend("1000"), 2);
        System.out.println("x =" +x);

        System.out.println(signExtend("01000"));
        x= (int)Long.parseLong(signExtend("01000"), 2);
        System.out.println("x =" +x);
    }

    private static String signExtend(String str){
        //TODO add bounds checking
        int n=32-str.length();
        char[] sign_ext = new char[n];
        Arrays.fill(sign_ext, str.charAt(0));

        return new String(sign_ext)+str;
    }
}

output:
x =-1
11111111111111111111111111111111
x =-1
00000000000000000000000000000000
x =0
11111111111111111111111111111000
x =-8
00000000000000000000000000001000
x =8 

I hope that helps!


static int binaryToInt (String binary){
    char []cA = binary.toCharArray();
    int result = 0;
    for (int i = cA.length-1;i>=0;i--){
        //111 , length = 3, i = 2, 2^(3-3) + 2^(3-2)
        //                    0           1  
        if(cA[i]=='1') result+=Math.pow(2, cA.length-i-1);
    }
    return result;
}

public Integer binaryToInteger(String binary){
    char[] numbers = binary.toCharArray();
    Integer result = 0;
    int count = 0;
    for(int i=numbers.length-1;i>=0;i--){
         if(numbers[i]=='1')result+=(int)Math.pow(2, count);
         count++;
    }
    return result;
}

I guess I'm even more bored! Modified Hassan's answer to function correctly.


For me I got NumberFormatException when trying to deal with the negative numbers. I used the following for the negative and positive numbers.

System.out.println(Integer.parseUnsignedInt("11111111111111111111111111110111", 2));      

Output : -9

Using bitshift is more elegant and faster than Math.pow. Simply bitshift the digits (0 or 1) into position with val <<= 1

// parse an unsigned binary string, valid up to 31 bits
static int binaryToBase10(String binaryString) {
    int val = 0;
    for (char c : binaryString.toCharArray()) {
        val <<= 1;
        val += c-'0';
    }
    return val;
}

Example use

int val = binaryToBase10("1011");
System.out.println(val);

prints 11