## Fundamentals of Logic Design, Volume 1Updated with modern coverage, a streamlined presentation, and an excellent CD-ROM, this fifth edition achieves a balance between theory and application. Author Charles H. Roth, Jr. carefully presents the theory that is necessary for understanding the fundamental concepts of logic design while not overwhelming students with the mathematics of switching theory. Divided into 20 easy-to-grasp study units, the book covers such fundamental concepts as Boolean algebra, logic gates design, flip-flops, and state machines. By combining flip-flops with networks of logic gates, students will learn to design counters, adders, sequence detectors, and simple digital systems. After covering the basics, this text presents modern design techniques using programmable logic devices and the VHDL hardware description language. |

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### Contents

Number Systems and Conversion | 1 |

2 Boolean Algebra | 26 |

Boolean Algebra Continued | 53 |

Copyright | |

21 other sections not shown

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### Common terms and phrases

2's complement A'BC A'BD adjacent answer array assignment binary number Boolean algebra buffer column consensus theorem corresponding counter CPLD decimal decoder derive diagram digital systems downto eliminate equivalent essential prime implicants example excess-3 ﬁnd ﬁrst ﬂip-ﬂop FPGA full adder function gate circuit gate inputs gates and inverters graph implement input equations input sequence integer integrated circuit J-K flip-flop Karnaugh map logic circuit maxterm expansion Mealy minimum number minimum solution minimum sum minterm Multiplexers multiplier NAND gates negative numbers number of gates occur operation output sequence Problem product of sums Programmable Logic Devices realize represent reset rising clock edge rising edge sequential circuit shift register shown in Figure shows signal simplify simulator SM chart speciﬁed std logic Study Section subtraction switching tri-state buffer truth table two-level variables VHDL code VHDL module