# VLSI Homework 10 - Aidan Sharpe ## Problem 1 You are synthesizing a chip composed of random logic with an average activity factor of $\alpha = 0.1$. You are using a standard cell process with an average switching capacitance of $C_\text{avg} = 450$[pF/mm$^2$]. Estimate the dynamic power consumption of your chip if it has an area of 70[mm$^2$] and runs at 450[MHz] at $V_{DD} = 0.9$[V]. $P_\text{dynamic} = C_\text{sw} V_{DD}^2 f_\text{sw}$ ```python alpha = 0.1 # Activity factor C_avg = 450E-12 # Average switching capacitance [F / mm^2] A = 70 # Chip area [mm^2] f = 450E+6 # Clock frequency [Hz] V_DD = 0.9 # Supply voltage [V] C_sw = C_avg * A # Total switching capacitance [F] f_sw = alpha * f # Switching frequency [Hz] P_sw = C_sw * V_DD**2 * f_sw # Dynamic power [W] print(f"Dynamic Power: {P_sw}") ``` $\boxed{P_\text{dynamic} = 1.148175\text{[W]}}$