The optimization method with the genetic algorithm (GA) is well-known in different science fields. The crossover is the primary important operand of the genetic algorithm, so many researchers worked with this operand to get the optimal solutions. This article presents a new crossover operand for the genetic algorithm by supposing a new organization for genes inside the chromosome. The new gene supposed that contains two alleles, and each allele refers to an attitude; thus, each gene has two attitudes. One attitude of the gene supposes to be preferred over another. Therefore, two crossovers were presented, the first crossover applying to intense the preferred one on another as enhancing method of genes to a single individual's chromosome before mating. After the first crossover, the mating process will come by the second crossover, which mating the parents or individuals. The second crossovers' output is four children; eliminate the two lowest fitness, and select the others as new offspring, and they will be part of the next generation. This process is repeated for each population until it reaches the last generation. The new crossover is called the quaternary-child crossover. The proposed is supposed to be applicable for real-time scheduling and is not limited to that. Empirical experiments have tested the proposed work as an optimization method with different mathematical and scheduling equations that had been used in optimization by researchers, and the performance was satisfactory.