## Logical and Mathematical Methods for IBM MicrocomputersLogical and Mathematical Methods for the IBM Microcomputers will teach professionals how to best understand and use the mathematical capabilities of the IBM microcomputers. It is the first book to combine both logic programming and mathematical programming concepts within an understandable and useable framework. The book focuses on the 8087 family of coprocessors, including the 8087, 80287, and the 80387 coprocessors. It shows the manipulation of matrix structures in the computerized solution of linear systems, develops combinatorial and brute-force methods for finding heuristic solutions to mathematical problems that defy traditional analytical procedures, and features coverage of the logical foundation of computer simulations and modeling, including the modeling of human intelligence in neural networks. Discussions regarding the use of Boolean Algebra in the design of electronic circuits are also presented. Logical and Mathematical Methods for the IBM Microcomputers is ideal for computer scientists, computer engineers, electrical engineers, mathematicians and other scientists who use the current family of IBM coprocessors in their computers. |

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### Contents

Preliminaries for Machine Arithmetic | 25 |

Logic for Digital Machines | 75 |

80x87 Logic and Mathematics | 97 |

Copyright | |

8 other sections not shown

### Common terms and phrases

ANSI/IEEE arithmetic ASCII assembly language BCD digits binary number Bump pointer bytes of opcode calculations caller's code two bytes column conversion coprocessor Corresponding to ESC DB SBYTE DW denormal double precision DW N_OFF Add element empty encoding ENDIF ENDIF ENDM ENDP entry ESC ELSE ESC ESC xx DW exit exponent extended precision FADD floating point format FSTP Hand code hexadecimal input instruction integer Intel mathematical coprocessor matrix MOV BYTE PTR MOV MOV multiplier N_OFF Add offset non-segment override offset of destination one's complement opcode DB SBYTE operand operation override IF SBYTE override opcode DB override using ESC packed BCD PROC procedure processor radian routine SBYTE not zero SBYTE Test segment override opcode SEGOR short integer significand single precision stack top status register storage stored Test for SBYTE Test for segment two's complement xx DW N_OFF