Converse between Decimals and Binaries in a vector, with randomly generated elements

Question

I need to make a program where 10 randomly generated numbers that are stored in a vector are converted to binary and shown to the user. Not necessarily will need to be stored in a vector.

I just can’t make a loop doing this.

I managed to assemble at most this algorithm that converts a single number, but otherwise I’m not getting it, neither I nor my colleagues who tried to help me.

It is also worth saying that I had done using the method toBinaryString, but this is part of a list of exercises, and our teacher wants us to do the hand, without using too many resources.

Here’s the code I made, however, I can’t fit it in a for loop.

int decnum, aux, i=1, j, cont=0;
int binnum[] = new int[100];
Random any = new Random();

decnum = any.nextInt(10)+1;
aux = decnum;
while(aux != 0)
{
    binnum[i++] = aux%2;
    aux /=2;
}

System.out.print("O numero equivalente em binario de " + decnum + " é :\n");
for(j=i-1; j>0; j--)
{
    System.out.print(binnum[j]);
}