The first topic of this thesis is a mixed radix-16/8/4/2 64b/32b integer divider which uses a variety of techniques, including operand scaling, table partitioning, and table sharing, to increase performance without paying the cost of increasing complexity. The second topic is a noise immune address transition detector¡]ATD¡^circuit. We employ a simple feedback loop to stabilize the generated CS¡]chip select¡^signal and two delay cells to dynamically adjust the width of the CS strobe.