In a positional numeral system, the radix (pl.: radices) or base is the number of unique digits, including the digit zero, used to represent numbers. For example, for the decimal system (the most common system in use today) the radix is ten, because it …

We propose novel encoding schemes for the implementation of higher radix multiplication. In particular we consider multiplication radix-32 and radix-256. The features provide more flexible multiplier designs that can be implemented in shorter pipeline stages.

We will show that each radix32 digit can be represented by two radix-7 digits, and that each radix-256 digit can be represented by three radix-11 digits, hence the multiplier is represented by roughly 2p/5 resp. 3p/8 terms.

Feb 1, 2022 · In this brief, an approximate radix-256 Booth encoding is proposed to circumvent the generation on hard multiples. A partial encoding approach is used to produce partial product pairs, which can be obtained easily by simple shifting and complementing operations.

Dec 15, 2022 · In this paper, we made an in-depth study on radix-64 and radix-256 encoding for 4-bit and 5-bit approximations. Proposed a two-term radix-64 encoding and three-term radix-256 encoding for 4-bit approximation to calculate partial-products with …

May 1, 2023 · Aiming at the problem of high power consumption of the arithmetic unit, a low-power approximate Booth multiplier based on complementary error is proposed. Among them, the new Booth encoder will produce positive errors and the approximate Wallace tree structure will produce negative errors.

Jun 11, 2001 · We propose novel encoding schemes for the implementation of higher radix multiplication. In particular, we consider multiplication radix-32 and radix-256.

Feb 1, 2001 · This new scheme can be naturally extended for radix-256 multiplication. We present results of area, delay and power consumption for 16, 32 and 64 bit array multipliers using the new dedicated...

The partial products depending on multiples of the radices 7 or 11 can be separately accumulated, with multiplication by the radix a pre- or post-computation option. These features provide more flexible multiplier designs that can be implemented in shorter pipeline stages.

Nov 3, 2015 · I have a data stream of bytes, also known as radix 256 symbols. What is the best algorithm to convert that, ideally on the fly, to a new stream of symbols where the radix of each symbol varies and is only known at runtime?