Modified Floating Point Adder and Multiplier IP Design

The advent of digital circuits made it easy to realize many mathematical operations using the binary Boolean functions. The only problem was that, the mathematical operations were able to run at a significantly high speed with great accuracy for unsigned or signed integer numbers. Various architectures were able to accelerate the performance of mathematical operations on integers. But most of the real-world problems required operation with real numbers and hence either fixed point or more importantly floating-point arithmetic was necessary. It is possible to run different algorithms to execute operations on floating point numbers in an architecture designed for integer numbers. But the amount of CPU cycles required increases substantially with the complexity of problems involved, the precision required and accuracy as well. It is possible to develop architectures for fixed-point real numbers. But the reusability of the architecture is quite difficult for higher precision. For high accuracy or precision, the architecture hardware utilization increases exponentially. The conversion of fixed point to floating-point increases hardware as well. Hence, we have the IEEE 754 format for single/double precision floating-point architecture. The algorithms provide a fixed register architecture thereby enabling ease of architecture design along with certain acceleration if required. The algorithm predominantly consists of registers to hold the sign, exponent and mantissa along with modules to perform the required arithmetic operations, normalization modules, rounding off modules and bypass circuitry to accelerate addition/subtraction, multiplication with 0, 1 etc. The IP designed here for adder and multiplier, follows the IEEE 754 format for single precision. Bypass modules have been designed for adder and multiplier for addition and multiplication with zero. The final output is available after once clock cycle. This clock is necessary to load the registers with final answers. The normalization modules use chain structure of multiplexers to select the required inputs based on the comparator and for easy swapping. The complete modules by default, compute zero (reset) if inputs are not applied. The control logic involves design with basic gates to measure the direction of normalization and thereby faster computation and less hardware overhead. Universal Shit Registers are used to enable bidirectional shift in normalization of multiplication and shift registers are used for addition operation.