ECET-230 Digital Circuits and Systems Homework Assignment #1Name ____________________________1. Develop the Boolean equation for the circuit shown below.1. Determine the output Y in Problem 1 for the input values shown below.Redraw the circuit in Problem 1 using only 2-input NAND gates.1. Develop the Boolean equation for the circuit shown below.1. Determine the period of a clock waveform whose frequency is:Write the VHDL text file (Entity and Architecture) for a 2-input NAND gate.1. Write the VHDL text file for a 3-input NOR gate.Write the VHDL text file for the circuit shown below.1. Develop the look-up-table (LUT) for the circuit shown in Problem 8.1. Develop the look-up table for the Boolean equation:.