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Fixedpoint number systems
Fixedpoint addition and subtraction
8 other sections not shown
additive normalization alignment approximation arithmetic operations basic BCLA binary bit position block Carry-completion carry-lookahead carry-propagate adder carry-save adders Chapter computation convergence corresponding cost cycle decimal described digit set discussed dividend divider divisor equations evaluation example exponent fan-in floating-point number follows full adder function gate delays hardware IEEE implementation input iterations left-shift log2 logic lookahead magnitude maximally redundant method multiplicand multiplicative normalization n-bit negative numbers Newton-Raphson non-restoring algorithm normalization algorithms number systems obtained one's complement operands output overflow parallel-array partial carry partial product right partial remainder partial sum performance pipeline polynomial procedure propagated quotient digit radix point radix-4 algorithm RCLA redundant signed-digit representation residue number system result rH rH rounding SBCLA Section shift left shifter shown in Figure sign bit significand square root stage sticky bit subtraction subtractor sum bits superblock Table two's complement notation Wallace tree zero