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Chapter 3 ARITHMETIC is divided into these three catogories 3.3 Fixed point multiplication and division., 3.4.2 Floating point multiplication and division ???? (+.101x2 squared)x(-.110x2(-3 squared)), 3.4.1 Floating point addition and subtraction magnitude, exponents of the operands, & normalization, 3.6 Case study: Calculator arithmetic using Binary Coded Decimal specifically 3.6.1 The HP 9100A calculator (desktop), ripple carry adder & ripple-borrow subtractor using the truth table ai bi bori | diffi bori+1 ------------|--------------- 0 0 0 | 0 0 0 0 1 | 1 1 0 1 0 | 1 1 0 1 1 | 0 1 1 0 0 | 1 0 1 0 1 | 0 0 1 1 0 | 0 0 1 1 1 | 1 1 , 3.3.1 Unsigned multiplication and 3.3.2 Unsigned division, Chapter 3 ARITHMETIC and 3.4 Floating point arithmetic., 3.2.2 Hardware implementation of adders and subtractors. using a ripple carry adder & ripple-borrow subtractor, 3.5.1 High performance addition and 3.5.2 High performance multiplication, carry-lookahead adder ???? generate, propagate functions, The 4 basic arithmetic operations on fixed & floating point numbers, 3.3 Fixed point multiplication and division. consists of 3.3.1 Unsigned multiplication, 3.5.2 High performance multiplication and 3.5.3 High-performance division, 3.4.1 Floating point addition and subtraction and 3.4.2 Floating point multiplication and division, 3.3.1 Unsigned multiplication and example 1101 C A Q 0 0000 1011 0 1101 1011 0 0110 1101 1 0011 1101 0 1001 1110 0 0100 1111 1 0001 1111 0 1000 1111 product, uses 10 digits + 2 (guard digits) 3.6.1 The HP 9100A calculator (desktop), 3.2.3 One's complement addition and subtraction. ???? end-around carry 10011 (+12) 01101 (+13) ------------------ 100000 + 1 ------------------- 00001 (+1), 3.2.2 Hardware implementation of adders and subtractors. and 3.2.3 One's complement addition and subtraction., 3.5 High performance arithmetic super computers The Cray, the Tera, and Intel Hypercube, Chapter 3 ARITHMETIC showing a 3.6 Case study: Calculator arithmetic using Binary Coded Decimal, 3.6.1 The HP 9100A calculator (desktop) uses base 10 3.6.2 (BCD) Binary coded decimal addition and subtraction, 3.2 Fixed point addition and subtraction is divided in these catagories: 3.2.1 Two's complement addition and subtraction, Chapter 3 ARITHMETIC 3.2 Fixed point addition and subtraction, 3.6.2 (BCD) Binary coded decimal addition and subtraction and also 3.6.3 BCD floating point addition and subtraction, 3.5 High performance arithmetic explains 3.5.1 High performance addition, Chapter 3 ARITHMETIC also explains 3.5 High performance arithmetic, Chapter 3 ARITHMETIC first explains this chapter's 3.1 Overview, 3.2.1 Two's complement addition and subtraction using the arithmetic principle a-b=a+(-b), 3.5.3 High-performance division and 3.5.4 Residue arithmetic, 3.4 Floating point arithmetic. explains both 3.4.1 Floating point addition and subtraction, 3.2.1 Two's complement addition and subtraction using signed and unsigned fixed point numbers, 3.3.2 Unsigned division ???? 0010 R 1 |----------- 11 |0111 11 ------------- 01, 3.1 Overview of The 4 basic arithmetic operations, 3.3.2 Unsigned division and 3.3.3 Signed multiplication and division, 3.2.1 Two's complement addition and subtraction 8-bit addition 00001010 (+10) 00010111 (+23) ---------------------- 00100001 (+33), 3.5.1 High performance addition ???? carry-lookahead adder, 3.2.1 Two's complement addition and subtraction and 3.2.2 Hardware implementation of adders and subtractors., 3.2 Fixed point addition and subtraction on signed and unsigned fixed point numbers, 3.3.1 Unsigned multiplication ???? 1101 (13) M x 1011 (11) Q ------------------- 1101 1101 partial 0000 products 1101 ---------------------- 10001111 (143) , the subtrahend bi & minuend ai and the truth table ai bi bori | diffi bori+1 ------------|--------------- 0 0 0 | 0 0 0 0 1 | 1 1 0 1 0 | 1 1 0 1 1 | 0 1 1 0 0 | 1 0 1 0 1 | 0 0 1 1 0 | 0 0 1 1 1 | 1 1 , 3.2.2 Hardware implementation of adders and subtractors. introducing the subtrahend bi & minuend ai