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We present results of numerical simulation of bi-SQUID characteristics in the presence of thermal fluctuations at different values of noise factor gamma. The noise characteristics are given in comparison with the ones for dc SQUID. Additional Josephson junction in bi-SQUID gives impact of two kinds. On the one hand, the junction is source of additional fluctuations; on the other hand, the junction changes transfer function of this device. The factors result in different input noise versus applied magnetic flux and therefore in different point position of optimal operation.