## Computer number systems and arithmetic |

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### Contents

Decimal Numbers | 10 |

Addition Methods in FixedBase Number Systems | 33 |

Multiplication | 71 |

Copyright | |

5 other sections not shown

### Common terms and phrases

2's-complement form add ICAND adder addition algorithm arithmetic operations array base BCDD form binary digits binary form binary numbers carry propagation circuit circuitry column Comp complement form conversion counters decimal digits digit group digit set divisor elements encodings evaluation example excess-3 executing exponent expressed fast Fourier transform Fibonacci Figure floating-point number fraction full-adders G G G half-adders hardware IEEE IEEE Trans inputs integers iteration logarithms low-order magnitude method mixed radix mixed-base multiplication needed negative numbers nonzero digits Note number representations number system octal operands outputs overflow p-adic pair Peano axioms performed polynomial positive numbers procedure pseudo-quotient quotient digits radix complement radix point redundant represent requires residue number residue number system result sequence Shift right shown in Fig sign bit sign digit sign-magnitude signed-digit significand stages step subtraction sum digits symbols Table tion unit vector Wallace tree weight