摘要:
An arithmetic-logic unit ALU having three data input ports A, B and C, a modulo adder/subtracter for executing an arithmetic-logic operation of (A.+-.B) mod (C+1), a comparator for determining whether the input data A, B and C satisfy at least one of the relationship of A.ltoreq.B.ltoreq., A.ltoreq.B
摘要:
Filtering a signal with an adaptive digital filter includes updating the filter by performing an approximate division of a constant number by a variable number in binary form. The variable number represents a magnitude of energy of the signal to be filtered, and consists of a character bit and a plurality of bits which define the absolute value of the number. The variable number is first transformed by substituting with logic zeros any logic ones that have a lower significance than the most significant logic one of the bits. The first transformed number is then further transformed by reading the character bit of the variable number as a character bit and by reading the bits in the digital word in a reversed order. The resulting value is applied to adjust the adaptive digital filter which filters the signal.
摘要:
A floating-point division cell consisting of partial remainder data register for storing parallel-partial-remainder data or third partial remainder data, divisor data register for storing parallel-divisor data or third divisor data, low-order divisor data generator for receiving the low-order portion of the divisor data and generating low-order divisor data, low-order partial remainder calculator for obtaining low-order multi-divisor data by multiplying the low-order divisor data and a multiple of 2 together and calculating new low-order partial remainder data by subtracting or adding the low-order multi-divisor data from/to the low-order portion of the partial remainder data, high-order divisor data generator for receiving the high-order portion of the divisor data and generating high-order divisor data, and high-order partial remainder calculator for obtaining high-order multi-divisor data by multiplying the high-order divisor data and a multiple of 2 together and calculating new high-order partial remainder data by subtracting or adding the high-order multi-divisor data from/to the high-order portion of the partial remainder data.
摘要:
Division and square root calculations are performed using an operand routing circuit (16) for receiving an operand N, and operand D and a seed value S and directing the operands and seed value to a multiplier (38). Single multiplier (38) is configured into two arrays for calculating partial products of N and S and D and S. The results of multiplier (38) are transmitted through switching circuitry (20) or registers (48) (50) either to operand routing circuitry (16) or adder (44) depending on a convergence algorithm. The final result is rounded.
摘要:
A high speed divider circuit which implements a shift/subtract division method utilizing signed-digital binary expressions for the internal operands includes a quotient determining circuit which determines the quotient digit from the partial remainder, and a pluarlity of arithmetic cells which determine successive quotient digits by subtracting the product of the divisor and the sequential digits from the sequential partial remainders. The arithmetic cells which process the two lowest significant digits, the cells which process the most significant digits, the cells which process the intermediate digits and the cells which determine the initial partial remainder are each specifically tailored to perform their respective functions and thereby result in a divider which requires fewer circuit elements, and is simpler to implement in an integrated circuit.
摘要:
The present invention optimizes the number and ratio of cycles required among the divide/square root unit, multiplier unit and ALU. An intermediate latch with its own clock is provided at the output of the multiplier half-array in the intermediate stage to feed back data for a second pass for double-precision numbers. The multiplier can then be adjusted for either two-cycle latency mode (for optimizing double-precision multiplies) or three-cycle latency mode (for optimizing single-precision multiplies). A separate divide clock is used for the divide/square root unit, and is synchronized with the multiplier cycle clock on input and output. This allows the divide time to be optimized so that it requires fewer clock cycles when a longer multiplier clock cycle time is used.
摘要:
A high speed arithmetic processor which may compactly be fabricated on an LSI chip is disclosed. The arithmetic processor in a first-step arithmetic operation determines an intermediate carry (or intermediate borrow) for a higher order arithmetic operation from an internal operand such as augend (or minuend) and an addend (or subtrahend) for each digit in addition (or subtraction) of signed digit numbers, carried out as an internal arithmetic operation, and determines an intermediate sum (or intermediate difference). In a second step arithmetic operation, the processor obtains a final sum (or difference) for each digit from the intermediate sum (or intermediate difference) obtained in the first step arithmetic operation and an intermediate carry (or intermediate borrow) from a lower order arithmetic operation. The sign of an internal operand is either inverted or the internal operand is converted to 0 in accordance with the value of a control signal and then provided as the internal operand for processing in the first step arithmetic operation. Such sign inversion or conversion of the operand to zero enables the first and second step arithmetic operations to be performed utilizing addition and/or subtraction only.
摘要:
A method and apparatus for radix-.beta. non-restoring division. The division process occurs in four phases. In a first phase, the input operands are transformed to produce a divisor lying in a designated numerical range. Next, a transitional phase involves generating an initial radix-.beta. quotient digit from the transformed numerator. An iterative phase of the process generates successive partial remainders according to a recursive method. From the sign and a single radix-.beta. digit of each of these partial remainders, the process generates a radix-.beta. quotient digit. Further, a fourth phase, which may run concurrently with the transitional and iterative phases, involves accumulating successively generated quotient digits to produce a final quotient value.
摘要:
A range transformation method for transforming the normalized divisor in a division calculation to a range wherein the transformed value differs from one by no more than the quantity 2.sup.-n. The method and apparatus generate the transform multiplier value from a first high order "q" digits of the divisor and generate an out-of-range indicator signal from at least those same digits. The thus generated multiplier value is modified in response to the out-of-range indicator signal when an out-of-range condition is indicated. The apparatus employs a read-only-memory for enabling the generation of the transform multiplier value without requiring either large table look-up storage or multiplicative functions. As a result, various division methods requiring an initial transformation to provide a divisor which approaches one in value can be efficiently implemented.