High-speed 64-bit binary comparator using two different logic styles is proposed in this brief. Comparison is most basic arithmetic operation that determines if one number is greater than, equal to, or less than the other number. Comparator is most fundamental component that performs comparison operation. This brief presents comparison of modified and existing 64-bit binary comparator designs c...

Concept inventories comprised of multiple choice questions are widely used in physics and astronomy to measure students pre-instruction knowledge and post instruction gains (Hestenes, Wells, & Swackhamer, 1992; Maloney, OKuma, Hieggelke, & Van Heuvelen, 2001, and others). Concept inventories are valuable because they address big ideas in the discipline with which students often struggle. The mu...

Advisor Date ii ACKNOWLEDGMENTS I thank my research advisor, Mark Lumley, for his extensive assistance and support in the development and execution of this research project and manuscript, in addition to his mentoring throughout my graduate training. I also thank my committee members, Boris Baltes, Jeffrey Kuentzel, and Barry Tanner, for their participation and support during this process. I ow...

Al~tract--The Clay Minerals Society Source Clay kaolinites, Georgia KGa-1 and KGa-2, have been subjected to particle size determinations by 1) conventional sedimentation methods, 2) electron microscopy and image analysis, and 3) laser scattering using improved algorithms for the interaction of light with small particles. Particle shape, size distribution, and crystallinity vary considerably for...

In deep submicron VLSI circuits, interconnect delays dominate MOSFET gate delays. Conventional buffer insertion method reduces delays at the cost of valuable chip area. Consequently, alternative methods are essential. Current mode interconnects have lesser delay than voltage mode circuits and also consume lesser chip area. In the present work, superiority of current mode over voltage mode inter...

This note continues work by the Lehmers [3], Gunderson [2], Granville and Monagan [1], and Tanner and Wagstaff [6], producing lower bounds for the prime exponent p in any counterexample to the first case of Fermat's Last Theorem. We improve the estimate of the number of residues r mod p" such that fP = r mod p~ , and thereby improve the lower bound on p to 7.568 x 1017.

A new CMOS current-mode controllable low-voltage and low-power logarithmic function circuit is proposed. The circuit provides good dynamic range, controllable output, and reasonable accuracy and it is insensitive to temperature variations. The circuit operates with ±0.5 V supply, consumes 0.3 μW, and has a –3 dB frequency of 2.4 MHz. The functionality of the proposed design is confirmed using T...

High-speed 64-bit binary comparator using three stages with CMOS logic style is proposed in this brief. Comparison is most basic arithmetic operation that determines if one number is greater than, equal to, or less than the other number. Comparator is most fundamental component that performs comparison operation. This brief presents comparison of modified and existing 64-bit binary comparator d...