By Rajeev Murgai
Short turnaround has develop into serious within the layout of digital platforms. software program- programmable elements similar to microprocessors and electronic sign processors were used greatly in such platforms due to the fact that they permit swift layout revisions. although, the inherent functionality boundaries of software-programmable platforms suggest that they're insufficient for high-performance designs. Designers hence grew to become to gate arrays as an answer. User-programmable gate arrays (field-programmable gate arrays, FPGAs) have lately emerged and are altering the way in which digital structures are designed and carried out. The turning out to be complexity of the common sense circuits that may be packed onto an FPGA chip signifies that it has turn into vital to have computerized synthesis instruments that enforce common sense capabilities on those architectures. Logic Synthesis for Field-Programmable Gate Arrays describes good judgment synthesis for either look-up desk (LUT) and multiplexor-based architectures, with a balanced presentation of latest ideas including algorithms and the method constructed by way of the authors.
Audience: an invaluable reference for VLSI designers, builders of computer-aided layout instruments, and a person eager about or with FPGAs.
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Additional resources for Logic Synthesis for Field-Programmable Gate Arrays
Example text
4 BOD VS. ITE input is connected to the variable associated with the vertex. In the multiplexor corresponding to an ITE vertex, the control input can be any function. Thus an ITE is more general than a BOD and consequently can be more compact. 2 Consider function f = ab + a' c + de. 4, a is selected as the top variable in the BOD. As a result, de gets replicated in both 0 and 1 branches. This can be avoided in the ITE by factoring out de before branching on a. 20 The support rr(J) ofafunction-representation f, which is either an SOP or a factored form, is the set of variables appearing in the representation.
If increasing the value of the variable Xi from 0 to 1 never decreases the value of I from 1 to O. Similarly, a function I is monotone decreasing in a variable Xi if lx, (j3) = implies Ix;' (j3) = for all j3 E Bn-l. Thefunction I is unate in variable Xi ifit is either monotone increasing or monotone decreasing in Xi. Otherwise, I is binate in Xi. Thefunction I is unate if it is unate in all its variables. A cover C is unate in a variable Xi if the variable Xi appears in only one phase, either positive or negative, but not both, in C.
The machine startsfrom the reset state R, with the outputs band c both set to O. Irrespective of which state the machine is in, if the input a is 1, the machine counts up 1 (modulo 3) and makes a transition to another state. If a is 0, the outputs remain the same and machine stays in the same state. 4 As another example, consider a controller of a microprocessor, with states S = {S1, S2, . , Sk}. Assume that the controller is in state S1 when itfetches the instruction "ADD Rl R2" from the memory.