VLSI (Very-large-scale integration) circuit design requires a solid foundation in mathematics, particularly in linear algebra, calculus, and graph theory. For VLSI design, knowledge of matrix algebra and vector calculus is also important in analyzing and optimizing the performance of integrated circuits. Familiarity with algorithms and data structures is helpful for designing efficient digital logic circuits and for computer-aided design (CAD) tools. Knowledge of circuit analysis, Boolean algebra, and abstract algebra would be beneficial as well. Vedic mathematics helps to design few mathematical operations on FPGA with simple circuits. This paper brings out importance of various fields of mathematics in designing circuits for VLSI by considering examples.