This book is devoted to the computation of the elementary functions. Here, we call
elementary functions the most commonly used mathematical functions: sin, cos, tan, sin− 1 …

An algorithm to convert redundant number representations into conventional
representations is presented. The algorithm is performed concurrently with the digit-by-digit …

As minimum feature size and pitch spacing further scale down, triple patterning lithography
is a likely 193 nm extension along the paradigm of double patterning lithography for 14-nm …

After a brief survey of the CORDIC algorithm, some new results that allow fast and easy
signed-digit implementation of CORDIC, without modifying the basic iteration step are given …

Several modifications to the CORDIC method of computing angles and performing rotations
are presented:(1) the use of redundant (carry-free) addition instead of a conventional (carry …

Arithmetic issues in the calculation of the Singular Value Decomposition (SVD) are
discussed. Traditional algorithms using hardware division and square root are replaced with …

VLSI chip is important so that the chip area needed for interconnections will be minimal. The
possible penalty, of course, In Xout in using bit-or digit-serial transmission is slow …

A systematic unfolding transformation technique for transforming bit-serial architecture into
equivalent digit-serial ones is presented. The novel feature of the unfolding technique lies in …

The CORDIC algorithm is a well-known iterative method for the efficient computation of
vector rotations, and trigonometric and hyperbolic functions. Basically, CORDIC performs a …

An architecture is presented for hard-wired data-flow algorithms which is based on the
transmission of arithmetic data one digit at a time serially, and performance of operations …