In arithmetic units multiplication is a very important operation. It is a common approach to use the modified Booth's algorithm to reduce the number of partial products in a multiplication and speed it up. In this letter we show two circuits that fuse the usually separate functions of generating the partial products and selecting them. The circuits designed in DPL (Double Pass-transistor Logic) are bigger in MOS transistors, but are faster and, function at higher frequencies than a typical CMOS implementation. One of our circuits also has lower power consumption.

A bipolar low-voltage multiplier core is presented. The proposed low-voltage multiplier core is built from a bipolar quadritail cell. Voltages applied to the individual bases of the transistors in the bipolar quadritail cell are aVxbVy, (a1)Vx(b1)Vy ,aVx(b1)Vy, and (a1)VxbVy, where Vx and Vy are the input signals, and a and b are constants, for example, VxVy, O, Vx, and Vy. Simple input systems using resistive dividers are also described. The dc transfer characteristics were verified on a breadboard using transistor-arrays and discrete components. The dc transfer characteristic of the proposed multiplier core is very close to that of the Gilbert multiplier cell, but the proposed multiplier core is operable on low supply voltage. Therefore, a bipolar multiplier core using a quadritail cell is a low-voltage version of the Gilbert multiplier cell. The proposed bipolar multiplier is practically useful because it can be easily implemented in integrated circuits by utilizing a multiplier core and a resistor-only input system, and it also operates at very lowvoltage. Therefore, the proposed bipolar multipliers are very suitable for low-power operation.

This report describes 4-2 compressors composed of Complementary Pass-Transistor Logic (CPL). We will show that circuit designs of the 4-2 compressors can be optimized for high speed and small size using only exclusive-OR's and multiplexers. According to a circuit simulation with 0.8µm CMOS device parameters, the maximum propagation delay and the average power consumption per unit adder are 1.32 ns and 11.6 pJ, respectively.

Multiplication-accumulation is the basic computation required for image filtering operations. For real-time image filtering, very high throughput computation is essential. This work proposes a hardware algorithm for an application-specific VLSI architecture which realizes an area-efficient high throughput multiplier-accumulator. The proposed algorithm utilizes a priori knowledge of filter mask coefficients and optimizes number of basic hardware components (e.g., full adders, pipeline latches, etc.). This results in the minimum area VLSI architecture under certain input/output constraints.

Novel circuit design techniques for bipolar and MOS four-quadrant analog multipliers operable on low supply voltage are described. There are three design techniques for multipliers operable on low supply voltage. One is the transistor-size unbalance technique. Another is the bias offset technique. A third is the multitail technique. Bipolar and MOS four-quadrant analog multipliers proposed in this paper consist of transistor-pairs with different transistor sizes (i.e. emitter areas or gate W/L values are different), transistor-pairs with the same bias offset or multitail cells (i.e. quadritail cells and an octotail cell). Several kinds of squaring circuits consisting of such transistor-pairs are applied to the multipliers when the multiplication method is based on the quarter-square technique. These multipliers all have satisfiable multiplication characteristics with four-quadrant operations in analog signal processing, whether implemented in bipolar technology or implemented in MOS technology.

A CMOS design to achieve high drivability is examined for lower power supply voltage in 0.5 µm ULSI. The design consists of two points. (1) A very narrow (50 nm) sidewall is used to achieve high drivability and also to obtain hot-carrier-reliability. (2) A retrograded channel profile with NMOS and PMOS is designed to achieve high drivability and also to reduce short channel effect. It is shown that the propagation delay times (tpd) of a unloaded Inverter and a loaded 2-way NAND gate are improved 30% with the newly designed CMOS, compared with the conventionally designed CMOS. It is also proved that the tpd keeps the scaling trend of the previous-5 V-era even in 3.3 V-era by adapting the newly designed CMOS. Moreover, 7.1 ns multiplication time of 1616-bit multiplier is obtained under 0.5 µm design rule.

We are presenting a high-speed MOS multiplier and divider, which is based on a redundant binary representation (using the digits 1, 0, 1), and their implementation in a 64-bit RISC microprocessor. The multiplier uses a redundant binary adaptation of the Booth algorithm and a redundant binary adder tree. We compared it to a multiplier using a two bit version of the Booth algorithm and a Wallace tree and found that the former multiplier is useful in VLSI because of its high-speed operation, small number of transistors, and good regularity. We also found that the divider performed by Newton's iteration using the multiplier is useful in VLSI. Implementing the multiplier and divider in a highly integrated 64-bit RISC microprocessor, we obtained a high-speed microprocessor.

An integrated optoelectronic multiplier based on GaAs optoelectronic device technology, is proposed. The key element is an optoelectronic half-adder logic gate, which is composed of only two GaAs metal-semiconductor-metal photodetectors (MSM-PD's). It operates with a single clock delay, less than 100 ps. An optoelectronic full-adder and a multiplier are also composed of half-adders and surface-emitting laser-diodes (SEL's). Cascadable gates with optical interconnections are integrated. Utilizing improved device fabrication technology, an optoelectronic high-speed multiplier with a minimum number of gates will be realized in LSI.

This letter describes an MOS operational transconductance amplifier and an MOS four-quadrant analog multiplier using the quadritail cell, which provides an output current proportional to the square of a differential input voltage. As a result, a linear transconductance amplifier and a quarter-squarer multiplier can be obtained in theoretical circuit analysis.