Majorana fermions are long-sought exotic particles that are their own antiparticles. In this talk, we show how to utilize superconducting circuits to construct two superconducting-qubit arrays where Majorana modes can occur. Moreover, we propose to use four superconducting qubits as the smallest system to demonstrate the braiding of Majorana modes and show how the states before and after braiding Majoranas can be discriminated. This provides an experimentally realizable, relatively simple system for manipulating and probing Majorana fermions.