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Futures blog Put options book options brokers. HDL simulator, and synthesize the designs to a Xilinx FPGA. This conditional adder checks whether the input value is greater than 49. However, such comparators may be slightly less efficient in some implementations, because one may not always be able to predict the behavior of the next row given the inputs to the current row. The system then converts this BCD value into a BCC value. The register begins cleared to zero, and the binary input value 300 is shifted in iteratively, one bit at a time, with two conditional adders 200 adjusting the values for each of their decimal digits as needed after each shift. The scope of the present invention is defined by the appended claims. If so, the conditional adder adds 78 to the input; otherwise, the value remains unchanged. BCC conversion hardware and delay.

This disclosure generally relates to techniques for converting between numerical representations on a computer system. However, to improve overall performance, the performance improvement gained by performing the difficult operation natively needs to be greater than the additional overhead involved in performing the conversions. Processor 1402 can include one or more specialized circuits for performing the operations of the mechanisms. The simulation results in FIG. In some embodiments, the shift operation is performed by a shift register that iteratively shifts bits of the binary value into the intermediate value. The foregoing descriptions of various embodiments have been presented only for purposes of illustration and description. The following description is presented to enable any person skilled in the art to make and use the invention, and is provided in the context of a particular application and its requirements. In some embodiments, a conditional adder includes a comparator, an adder, and a multiplexer.

Both BCC and BCD suffer from inefficient storage density and more complex arithmetic operations than binary arithmetic. After every shift, analysis mechanism 1412 analyzes a portion of the intermediate value to determine whether the portion is larger than a specified first value. In these embodiments, when the external hardware modules are activated, the hardware modules perform the methods and processes included within the hardware modules. The boundary between decimal places travels diagonally down and to the right. Note that some of the described adjustments needed for BCC conversion have some implications for the hardware architecture of a combinational converter design. In an alternative embodiment, the system first uses a BCD converter to convert a binary value into a BCD value, and then converts the BCD value into a BCC value.

In some embodiments of the present invention, techniques for converting binary values into the BCC format can be incorporated into a wide range of computing devices in a computing environment. BCD value, and then converts that BCD value into a BCC value. However, in some implementations, the comparators can become the critical path for the conversion operation. If the intermediate decimal digit is less than five in value, then the doubling will not cause a carry to the next decimal digit; therefore, no modification is necessary. In one embodiment of the present invention, network 1360 includes the Internet. Appliance 1390 can include any type of appliance that can be coupled to network 1360. Users 1320 and 1321 can include: an individual; a group of individuals; an organization; a group of organizations; a computing system; a group of computing systems; or any other entity that can interact with computing environment 1300. However, because performing such operations in software is typically much slower than native binary computational operations, some systems improve the performance of decimal operations by first converting decimal values to binary values, using binary computational circuits to perform operations on the binary values, and then converting the results back into decimal values.

Thus, the present invention is not limited to the embodiments shown, but is to be accorded the widest scope consistent with the principles and features disclosed herein. In this implementation, wires perform the shift operation between multiple rows of conditional adder modules. Such conversions have the potential to speed up decimal computational operation, but can result in substantial conversion overhead. BCC converter discussed in the previous section. The truth table for conditional adder 200 is illustrated in FIG. Computing device 1400 uses shift mechanism 1410, analysis mechanism 1412, and storage mechanism 1414 to convert binary values into BCC values. Appliance 1390 may act as a gateway, a proxy, or a translator between server 1340 and network 1360. Network 1360 can include any type of wired or wireless communication channel capable of coupling together computing nodes.

The multiplexer outputs either the input value or the output of the adder based on the output of the comparator. As illustrated in the truth table of FIG. Devices 1380 can include any type of electronic device that can be coupled to a client, such as client 1312. Conditional adder modules are always omitted when there is no chance of the input being greater than four, and an implied zero is used as an input when a carry could potentially be needed. While such modifications may also be complicated by horizontal dependencies in the converter array, they may in some instances also provide performance benefits. Accordingly, many modifications and variations will be apparent to practitioners skilled in the art. Advanced Micro Devices, Inc. Processor 1402 includes a shift mechanism 1410, an analysis mechanism 1412, and a storage mechanism 1414. After all of the bits of the binary value have been shifted into the intermediate value, the system has successfully converted the binary value into a BCD value that encodes each decimal digit in four bits.

Furthermore, the methods and processes described below can be included in hardware modules. Note that this design can be not difficult pipelined to various depths by inserting registers between rows. In some embodiments, configuring comparators to inspect the inputs of a preceding row facilitates removing the comparators from the critical path of a conditional adder. Because decimal operations are relatively uncommon, processors often perform decimal operations in software instead of in specialized hardware. One technique facilitates the direct conversion of binary numbers into BCC. Various modifications to the disclosed embodiments will be readily apparent to those skilled in the art, and the general principles defined herein may be applied to other embodiments and applications without departing from the spirit and scope of the present invention.

If so, it adds a second value to that portion. BCC conversion module 416 converts the BCD value to BCC value 408. For example, in some embodiments of the present invention, the hardware module includes one or more dedicated circuits for performing the operations described below. During operation, computing device 1400 uses shift mechanism 1410 to iteratively shift bits of a binary value into an intermediate value. Computing environment 1300 includes a number of computer systems, which can generally include any type of computer system based on a microprocessor, a mainframe computer, a digital signal processor, a portable computing device, a personal organizer, a device controller, or a computational engine within an appliance. One benefit of this design relative to a full BCC converter is that, although the critical path is the same length, each module is simpler, because BCD converter modules are simpler than BCC converter modules.

As mentioned above, computers can store numbers in a range of different encodings. To avoid this, the conversion technique processes the carry between each doubling operation to ensure that the decimal digit columns 100 are properly encoded. The long diagonal arrangement of conditional adders C 1 through C 10 generates the first BCC unit, while conditional adders C 11 through C 14 perform the carry for the second BCC unit. The same technique of adding 78 also holds for all other input values larger than 50. Computers can store numbers in a range of different encodings. In an alternative embodiment, the system first uses a BCD converter to convert the binary value into a BCD value, and then converts the BCD value into a BCC value. In some embodiments, the system converts a BCC value to a binary value to leverage binary computation performance for decimal format operations. Google Scholar results, and Japanese and South Korean patents. Using the input from a comparator in an earlier stage facilitates removing the comparison latency from the critical path of the conditional adder.

More specifically, referring to FIG. The disclosed embodiments facilitate converting binary values into the BCC format. BCC converter implementation that will typically be faster than the implementation of FIG. After all of the bits of the binary value have been shifted into the intermediate value, storage mechanism 1414 is configured to store the resulting BCC value that corresponds with the original binary value. The long diagonal arrangement of conditional adders C 1 through C 5 generates the units decimal place, while conditional adders C 6 and C 7 perform the carry for the tens digit. When the original input has been completely displaced from its starting position, the conversion is complete. BCC converter grows linearly.

In the graph illustrated in FIG. Note that this BCC value encodes in eight bits of data two decimal digits that can range in value from zero to 99. BCD value, and then converting the BCD value into a BCC value. This includes, but is not limited to, a local area network, a wide area network, or a combination of networks. In some embodiments of the present invention, network 1360 includes phone and cellular phone networks. Additionally, the above disclosure is not intended to limit the present invention. Note that while the results illustrated in FIGS. BCC converter can improve the performance of the conversion operation.

BCD conversion module 414 that first converts binary value 404 to a BCD value. As previously described for FIG. After all of the bits of the binary value have been shifted into the intermediate value, the system has successfully converted the binary value into a BCC value. Each shift represents a doubling of the input; hence, if the value in any decimal digit column 100 is greater than four, a doubling would cause that value to become greater than nine, which is an invalid representation in BCD encoding. During operation, the system iteratively shifts bits of the binary value into an intermediate value. In some embodiments, the system directly converts a binary value to a BCC value.

Note that, while such modules may substantially increase the area of the design, they can improve performance by ensuring that the comparator is off the critical path. In one embodiment, the system converts a binary value directly to the BCC format. In summary, embodiments of the present invention facilitate converting binary values into the BCC format. In some embodiments, the system first converts a binary value into a BCD value, and then converts the BCD value into a BCC value. BCC unit by multiplying the left BCD unit by 10 and adding the resulting value to the right BCD unit. BCC conversion module 406 that directly converts a binary value 404 to a BCC value 408. The same technique of adding three also holds for intermediate values greater than five. Each pair of decimal digits can be encoded in a BCC representation. They are not intended to be exhaustive or to limit the present invention to the forms disclosed.

For example, in some EDA tools the code segment illustrated in TABLE 1 might not be optimized properly, and thus might actually hurt performance relative to a single conditional adder that covers all input cases. As described for the BCD converter of FIG. In some embodiments of the present invention, database 1370 is used to store information related to cache hit and miss likelihoods. The boundary between BCC units travels diagonally down and to the right. Embodiments of the present invention include two techniques for converting binary values to BCC values. The curves provide an not difficult way to compare designs which may not be strictly better than their alternatives, but are useful in different circumstances.

In alternative embodiments, one or more shift operations are instead performed using a combinational circuit that is comprised of multiple conditional adders. In this document, the ON format is treated as a special case of a decimal format. BCC designs may be preferable for smaller converters. This includes, but is not limited to, routers, switches, load balancers, network accelerators, and specialty processors. BCD converter implementation that will typically be faster than the implementation of FIG. Unless specified otherwise, all of the designs illustrated in FIGS.

Note that converting from a decimal format to a binary value and the inverse operation of converting a binary value to a decimal format have different challenges and complexity. Note that different embodiments of the present invention may use different system configurations, and are not limited to the system configuration illustrated in computing environment 1300. Input values smaller than 50 need no processing, because they will still be less than 100 after doubling. When the hardware modules are activated, the hardware modules perform the methods and processes included within the hardware modules. Note that this design can also be not difficult pipelined to various depths by inserting registers between rows. This text includes the following chapters and appendices: Common Number Systems and Conversions Operations in Binary, Octal, and Hexadecimal Systems Sign Magnitude and Floating Point Arithmetic Binary Codes Fundamentals of Boolean Algebra Minterms and Maxterms Combinational Logic Circuits Sequential. Digital Design: Basic Concepts and Principles addresses.