Design a circuit that will tell whether a given month has 31 days in it. The month is specified by a 4-bit input (A,B,C,D). For example, if the inputs are 0001(A=0, B=0, C=0,D=1), the month is January, and if the inputs are 1100, the month is December. The circuit output Y should be HIGH only when the month specified by the inputs has 31 days in it. Write the simplified boolean equation, and draw the circuit diagram using a minimum number of gates.

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Nodal Analysis

In the analysis of any electric circuit, nodal analysis is the method of determining the potential difference or voltage between different nodes in an electric circuit. A node is a point where two or more branches connect each other. In the nodal analysis, the voltages are determined in the terms of branch currents. The nodal analysis is also known as the node voltage method or branch current method. The nodal analysis method is one of the several applications of Kirchhoff's Current Law (KCL).