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APPENDIX G
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A general form for a division routine (using the algorithm shown above) could be that division of the core of the pseudocode is a bit-shift analogous algorithm to multiplication that can handle positive and negative numbers.
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if (Dividend < 0) { // Change dividend to positive number Dividend = 0 Dividend; dividendneg = 1; // Mark we have to change it back } else dividendneg = 0; if (Divisor < 0) { // Repeat with the Divisor Divisor = 0 Divisor; divisorneg = 1; } else divisorneg = 0; Count = 0; // Going to Count where division starts Quotient = 0; // Store the Quotient while (( Divisor & 0x0400 ) != 0) { // Find the Start of the Division Count = Count + 1; // Increment the Number of Bits Shifted Divisor = Divisor << 1; } while (Count != 0) { // Now, do the Division if (Dividend >= Divisor) {// A subtract can take place Quotient = Quotient + 2 ^ Count; Dividend = Dividend Divisor; } Count = Count 1; Divisor = Divisor >> 1; } if (Dividendneg == 1) // Now, change the values if (Divisorneg == 1) { Quotient = Quotient; Remainder = 0 Dividend; } else { Quotient = 0 Quotient; Remainder = 0 Dividend; else // The Dividend was Positive if (Divisorneg == 1) { Quotient = 0 Quotient; Remainder = Dividend; } else { Quotient = Quotient; Remainder = Dividend; }
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GLOSSARY
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Accumulator Register used as temporary storage for an operation s data source and destination. In the PIC microcontroller, this is known as the w register. Active components Generally integrated circuits and transistors. Active components require external power to operate. ADC Acronym for analog-to-digital converter. Hardware devoted to converting the value of a dc voltage into a digital representation. See DAC. Address The location of a register, RAM byte, or instruction word within its speci c memory space. ALU Acronym for arithmetic logic unit. The circuit within a computer processor that carries out mathematical operations. Amps Measure of current. One amp is the movement of one coulomb of electrons in one second. Analog A quantity at a fractional value rather than a binary value: a one or a zero. Analog voltages are the quantity most often measured. AND Logic gate that outputs a 1 when all inputs are a 1. Argument A user-speci ed value for a subroutine or macro. An argument can be a numeric value, a string, or a pointer depending on the application. See Parameter. Array Collection of variables that can be addressed by an arbitrary index. ASCII American Standard Character Interchange Interface. Bit-to-character representation standard most used in computer systems. ASCIIZ A string of ASCII characters ended by a null (0x000) byte.
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Assembler A computer program that converts assembly-language source to object code. See Cross-assembler. Assembly language A set of word symbols used to represent the instructions of a processor. Along with a primary instruction, there are parameters that are used to specify values, registers, or addresses. Asynchronous serial Data sent serially to a receiver without clocking information. Instead, data-synching information for the receiver is available inside the data packet or as part of each bit. Bare board See Raw card. BCD Binary code decimal. Using 4 bits to represent a decimal number (0 to 9). BGA Acronym for ball grid array. A chip solder technology that provides connection from a chip to a bare board via a two-dimensional grid of solder balls. Binary numbers Numbers represented as powers of 2. Each digit is two raised to a speci c power. Binary can be represented in the forms: 0b0nnnn, B nnnn , or %nnnn, where nnnn is a multidigit binary number consisting of 1s and 0s. Bipolar logic Logic circuits made from bipolar transistors (either discrete devices or integrated onto a chip). Bit banging Simulating interface functions with code. Bit mask A bit pattern that is ANDed with a value to turn off speci c bits. Boost power supply A type of switch-mode power supply that is designed to convert electrical energy from one voltage to a higher one. Bounce Spurious signals in a changing line. Most often found in mechanical switch closings. Buck power supply A type of switch-mode power supply that is designed to convert electrical energy from one voltage to a lower one. Burning See Programming. Bus An electrical connection between multiple devices, each using the connection for passing data. Capacitor Device used for storing electrical charge. Often used in microcontroller circuits for ltering signals and input power by reducing transient voltages. The different types include ceramic disk, polyester, tantalum, and electrolytic. Tantalum and electrolytic capacitors are polarized. Ceramic resonator A device used to provide timing signals to a microcontroller. Generally, ceramic resonators are cheaper and more robust than a crystal but have poorer frequency accuracy. See Crystal.
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