How to fill array with random values 1-110

I want to fill tab[110] array with random bits (so 1 and 0). Don't know how to fill with values 1-110, but not 0-109. My for-loop:

for (int i = 0; i<tab.length; i++)
            {

                Random r = new Random();
                tab[i] = r.nextInt(2);
                if (i%25==0)
                {
                    System.out.println("");
                }
                System.out.print(tab[i]+"("+i+")"+", ");

            }

I know that usually it's simple, just tab[i]=i+1;, but when i put a random number into array it doesn't work for me. I tried to add "+1" everywhere in this loop and only effect i got is when i added it to System.out.println - but then i got fake output that it's 1-110, when in array it's still 0-109.

whole code:

package teleinformatykalab2;

import java.util.Random;

public class TeleinformatykaLab2 {

    public static void losujBity(int tab[])  // Funkcja losuje ciag 110 bitow i umieszcza je w utworzonej tabeli
    {
        System.out.println("Ciag 110 bitow: ");

        for (int i = 0; i<tab.length; i++)
        {

            Random r = new Random();
            tab[i] = r.nextInt(2);
            if (i%25==0)
            {
                System.out.println("");
            }
            System.out.print(tab[i]+"("+i+")"+", ");

        }
        System.out.println("\n");
    }

    private static boolean isPowerOfTwo(int x)  // Funkcja zwraca liczby, ktore sa kolejna potega liczby 2
    {
        //return (x & (x-1)) ==0;                
        return (x!=0) && ((x&(x-1)) ==0);
    }

    public static void wyswietlBityPowerOfTwo(int tab[])
    {
        boolean [] bityPotegiDwa = new boolean[7];
        System.out.println("Bity, ktorych indeks w tablicy jest kolejna potega liczby 2: ");
        for (int i=0; i<tab.length; i++)
        {

            if (isPowerOfTwo(i))
                {
                 int j = 0;
                 bityPotegiDwa[j+1] = isPowerOfTwo(i);
                 j++;
                 System.out.print(tab[i]+"("+i+")"+", ");

                }
        }
        System.out.println("\n");
    }

    public static void podzielCiagNaParzysteGrupy(int tab[]) // Funkcja dzieli ciag bitow na 7 grup wg indeksow potegi 2
    {
        int [] gr1 = new int [56];


    }

    public static void main(String[] args) {

        int [] tab = new int [110]; // Utworzenie tablicy jako globalnej zmiennej
        losujBity(tab);

        wyswietlBityPowerOfTwo(tab);
        podzielCiagNaParzysteGrupy(tab);


    }

}