Exceptionally Huge Scale Integration (VLSI) plan is continuously trying to find ways to improve circuit speed, lower control utilize, and make the finest utilize of space. A big portion of coming to these objectives is utilizing numerical strategies, which allow organized ways to form circuits work way better. This paper looks at a number of distinctive numerical methods and how they can be utilized in VLSI plan. It centers on how well these strategies can progress the value and productivity of circuits. Optimization calculations, like mimicked toughening, hereditary calculations, and molecule swarm optimization, are a prevalent way to see at math issues. Iteratively investigating plan regions is how these strategies discover combinations that grant superior execution measures, such as speed, control, and zone. Case considers appear that they are great at moving forward complicated circuits, appearing enormous picks up in plan parameters compared to old-fashioned heuristic strategies. Scientific modeling is additionally exceptionally imperative for accurately appearing how a circuit will work and anticipating execution measurements some time recently the genuine application. Direct programming and numbers programming are two strategies that offer assistance software engineers set limits and objectives, which leads to superior circuit structure and asset allotment. These models offer assistance individuals make choices by giving them numbers that appear the trade-offs between diverse plan objectives, like speed vs. power consumption or range minimization. Utilizing huge information sets and prescient analytics, machine learning procedures have moreover changed optimization strategies since they were included to VLSI plan.