When operating on a rapidly increasing amount of data, business analytics applications become sensitive to rounding errors, and profit from the higher stability and faster convergence of quad precision floating-point (FP-QP) arithmetic. The IBM z13TMsupports this emerging trend around Big Data with an outstanding FP-QP performance. The paper details the vector and floating-point unit of IBM z13TM, with special focus on binary FP-QP. Except for divide and square root, these instructions are executed in the decimal engine. To operate such an 8-cycle decimal and quad precision pipeline at 5GHz required innovation around exponent handling, normalization, and rounding.

Decimal floating-point Arithmetic is widely used in commercial computing applications, such as financial transactions, where rounding errors prevent the use of binary floating-point operations. The revised IEEE Standard for Floating-Point Arithmetic (IEEE-754-2008) defined standardized decimal floating-point (DFP) formats. As more software applications adopt the IEEE decimal floating-point standard, hardware accelerators that support it are becoming more prevalent. This paper describes the second generation decimal floating-point accelerator implemented on the IBM zEnterprise-196 processor. The 4-cycle deep pipeline was designed to optimize the latency of fixed-point decimal operations while significantly improving the bandwidth of DFP operations. A detailed description of the unit and a comparison to previous implementations found in literature is provided.

The IEEE 754-R floating-point standard has defined the arithmetic and encodings of the new decimal floating-point format. The C and C++ standards as well as other language standards have proposed a new data type to help programmers exploit the performance of this new hardware format. The IBM Power6 microprocessor will soon release the first hardware implementation of this decimal floating-point format. A discussion of how the decimal division operation is implemented in high frequency BCD hardware and a comparison to other division methods is provided. This implementation reuses some popular binary division algorithms such as prescaling and non-restoring division to reduce the amount of additional hardware. Novel twists are applied to these algorithms to adapt them for BCD formatted numbers.

The paper presents the design of the Fixed Point Unit (FXU) for the IBM eServer z990 microprocessor (announced in 2Q '03) that runs at 1.2 GHz [2]. The FXU is capable of executing two Register-Memory instructions including arithmetic instructions and a branch instruction in a single cycle. The FXU executes a total of 369 instructions that operate on variable size operands (1 to 256 bytes). The instruction set include decimal arithmetic with multiplies and divides, binary arithmetic, shifts and rotates, loads/stores, branches, long moves, logical operations, convert instructions, and other special instructions. The FXU consists of 64-bit dataflow stack that is custom designed and a control stack that is synthesized. The current FXU is the first superscalar design for the CMOS z-series machines, has a new improved decimal unit, and has for the first time a 16x64 bit binary multiplier.

Integrated-circuit interconnect characterization is growing in importance as devices become faster and smaller. Along with this trend, interconnect geometry is becoming more complex, consisting of an increasing number of wiring levels. Accurate numerical extraction of three-dimensional (3-D) interconnect capacitance is essential for achieving design targets in the multigigahertz digital regime. Interconnect-capacitance extraction is complicated by the presence of inhomogeneous layers with differing dielectric constant. Dielectric anisotropy as well is common in many low-/spl kappa/ polymeric dielectrics used in high-performance ICs. A CAD procedure using the novel floating random-walk extractor QuickCAP is presented. Our procedure is efficient enough to extract a substantial amount of a chip's 3-D wiring. We include as well dielectric anisotropy and inhomogeneity. The procedure is not based on effective conductor geometry or on a finite-sized conductor library but rather on the entire 3-D layout, accounting for actual local variations in conductor separations and shapes. We then apply our procedure to an experimental circuit vehicle implemented in AlGaAs-GaAs heterojunction bipolar transistor current-mode logic. This vehicle is used to validate the accuracy of our CAD procedure in predicting circuit speed. Measured and predicted test-capacitor values and ring-oscillator propagation times agreed generally to within 2-4%. To verify results on a larger digital circuit, we analyzed all interconnects in an adder carry-chain oscillator using our procedure. Predicted propagation delays were generally within 3% of measurement.

A digital voltage-controlled oscillator (VCO) is described which uses frequency multiplication and division to achieve very wide bandwidth. The VCO uses current-mode logic and does not require reactive elements such as inductors, capacitors or varactors. A novel, fully symmetric exclusive-OR (XOR) circuit was developed which uses product pairs and emitter-coupled logic. To achieve the highest performance possible, the critical path is symmetric and special physical design techniques were developed to promote matched-capacitance. The maximum measured frequency was 13.66 GHz. The chip occupies 1.9 mm/spl times/1.6 mm and dissipates 2.45 W at a supply voltage of -6.0 V. With a measured frequency range from 1.25 to 13.66 GHz, this circuit has the widest bandwidth reported in the literature for any VCO, digital or analog.