# Automatic Logic Synthesis Techniques for Digital Systems by Martyn D. Edwards

By Martyn D. Edwards

Contemporary advances in microelectronics know-how have ended in the expanding usage of built-in circuit parts in nearly all sectors of society. One specific part is the Application-Specific built-in Circuit, ASIC, that is hired in such assorted items as washing machines, motor vehicle engines and mainframe desktops. The profitable use of ASICs in items is because of the exploitation of computer-aided layout instruments, specifically computerized synthesis instruments, which decrease time and price. This ebook studies the state of the art in good judgment synthesis concepts, that have lately been constructed for ASIC elements. every one bankruptcy ends with finished learn references.

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Sp]; that is, a p-input, m-output logic function. One of the most important problems in the implementation of finite state machines is the efficient binary encoding of the internal states of the machine. By efficient we mean that the states must be encoded so as to minimise the cost of the combinatorial logic. This is by no means a simple problem to solve, especially as there is a further complication in that for some machines the use of more than the minimum number of flip-flops can further reduce the complexity of the logic functions.

The cubes of the function fl are a'b' = [OOXX] a'c'd [OXOl] abcd' = [1110] and = [OOXX, OXO 1, 111 0] fl A minterm is a cube where each variable in a function appears once, either in its true or complemented form; for example, in fl the cube [1110] is a minterm, whereas the cubes [OOXX] and [OXOl] are not minterms. Note that any Boolean function can be expressed as a unique sum of minterms. A sum-of-products expression for a function, in which all the implicants are minterms, uniquely defines the function, and is said to be in canonical Jorm.

As the number of input variables increases industrial problems may have > 20 inputs - so these manual techniques become increasingly more difficult, if not impossible, to apply. and we must revert to computerised automatic techniques as described in chapters 4 and 5. 3 Finite State Machine Design Finite state machines are employed to implement the control path sections of digital systems and are based on the use of sequential circuits. Sequential circuits are logic circuits whose current outputs are based on the values of past inputs; that is, they are capable of storing information.