text: the following discussion is presented to enable a person skilled in the art to make and use the invention . various modifications to the embodiments will be readily apparent to those skilled in the art , and the generic principles herein may be applied to other embodiments and applications without departing from the spirit and scope of the present invention . thus , the present invention is not intended to be limited to the embodiments shown , but is to be accorded the widest scope consistent with the principles and features disclosed herein . the following description is based on the definition of technical terms given below : electronic design includes the logical structure of an electronic device such as an integrated circuit . this may be specified either as a behavioral description , as high - level boolean equations , a circuit schematic or in any other form representing the logical arrangements of a device . it may include different constraints such as timing constraints , placement constraints , or mapping constraints , etc . a target hardware device includes the hardware device on which an electronic design is implemented . in context of this invention , a target hardware device typically includes the symmetric array of uncommitted logic elements . the uncommitted elements consist of the lut , cascade gate , muxes and flip - flops . these elements are grouped to form another hierarchy called programmable logic blocks , which are again grouped to form a programmable logic device . a compiler includes software and hardware on which the software operates for compiling the electronics design . the function of the compiler is to synthesize the netlist and map the netlist ( design ) to the target device . mapping refers to the process of grouping gates from a gate netlist or other hardware independent representation of logic into a logic block . in other words , the logic design may be divided into clusters representing the various logic functions within the design . these clusters are mapped onto the uncommitted logic elements in the programmable logic device during the compilation of the electronic design . the conditions for grouping ( mapping ) the gates into logic cells is that it should be possible to implement the grouped gates in the logic cell , for example , if a four input lut is taken as a logic cell then the grouped gates must have less than or equal to four inputs for successful mapping . embodiments of the present invention utilize cascade elements during the hardware description language ( hdl ) compilation and maps the design for programmable integrated circuits during technology mapping . in the accompanying diagrams ( fig6 , fig7 , fig8 ) a hexagon represents a lut , a circle represents a logic node , an arrow represents a connection , and a rectangle represents a cascade element . fig1 is a functional block diagram of a typical lut - based field programmable gate array . a typical fpga has vertical / horizontal routing lines 1 , an array of logic blocks 2 and interfacing i / o pads 3 . the routing resources 1 connect the logic block elements 2 and i / o pads . the fpga can also have switch boxes at the intersection of routing lines for connecting to the logic block arrays . fig2 shows the flow chart 100 of an electronic design compilation process . the process of compilation is started 110 by either clicking icons or by passing the command to start the compilation . once the compilation is started the design entries 120 are entered by the user according to which the circuit is synthesized 130 . the luts and the plbs are then mapped 140 over the synthesized circuit . after proper placement of the elements and routing lines 150 the configuration bit is generated 160 and the logic is then configured on the fpga 160 . the compiler operates in accordance with user specifications . the user specifications can be in terms of timing requirements , area constraints or any other desired constraints ., the compiler synthesizes the design to produce a net list , which describes the functionality of design for implementation on the programmable logic device . the net list can be the collection of gates , state machines & amp ; macros etc . the nodes of the net list are connected via nets and each net has a signal associated with it . the net list is synthesized to remove the redundant logic , and to meet specified constraints . fig3 shows a simplified block representation 200 of the technology mapping step 140 of the electronic design compilation . the technology mapping 140 can broadly be divided in two parts , lut mapping 141 and plb packing 142 . fig4 shows a flow chart of a lut mapping process 300 according to one embodiment of the present invention . in this process the first step is to decompose the gate netlist 310 into simple gates . the second step 320 establishes the feasibility of pushing additional logic without violating the specified constraints including the fan - out constraints 330 , 340 in an lut . if it is feasible to incorporate more logic onto the lut then the logic is mapped accordingly 350 , and the control returns to block 330 . if it is not feasible to incorporate any additional logic onto the lut then the feasibility of incorporating the cascade elements is established . if this is possible then appropriate logic elements are mapped onto the cascade elements in block 380 and control then returns to block 330 . if the possibility does not exist then another lut is selected in block 370 and the control are returns to block 330 . the logic clusters are formed by grouping nodes . whenever the cluster is k - infeasible , no more nodes are added to the cluster . before starting a fresh cluster , the feasibility of incorporating the cascade element in the device architecture is determined . if the feasibility is established the next node is mapped to the cascade element . this decreases the block count for the logic . as the cascade elements are hard wired they do not use the routing resources and the resultant delay is less than that of a lut . fig5 shows a structure of a programmable logic block ( plb ) 400 in a lut - based fpga . lut 410 having inputs 401 , and cascade logic gate 420 , is connected to multiplexer 430 having flip - flop 440 at its output . one of the inputs 413 to the cascade logic is from the cascade out of the previous stage and the output 431 of the cascade gate is the cascade in for the next stage . fig6 is a functional diagram of a typical four input logic cone 600 . the nodes 601 , 602 , 603 , 604 are inputs from other logic cones or logic gates . nodes 610 , 620 , 640 are logic gates , and the arrow represents the connection between the logic gates . fig7 is a functional diagram 700 of a mapped netlist without using the cascade feature of the programmable logic device . nodes 701 , 702 , 703 , 704 etc . are the inputs from the other logic cones or logic gates , nodes 710 , 720 , etc . are the logic gates , and the arrow represents the connection between the logic gates . fig8 shows a mapping of a netlist 800 using the cascade logic of the programmable logic device according to an embodiment of the current invention . the mapping is implemented according to predefined criteria . the criteria may be logic density , speed etc . in each case forming of cones is started from nodes e . g . 810 , 820 , 860 etc . whose fanins are already mapped or from the nodes which are primary inputs e . g . 801 , 802 , 811 etc . the maximum possible number of nodes is mapped onto each available lut to increase the density of logic . each node required to be mapped to an lut is selected according to the speed criteria . if it is not possible to map any more nodes to an lut , the feasibility of mapping the node to the cascade element 890 of the lut is established . if the feasibility exists then the density of the logic implemented is increased as more logic of the same logic block is utilized . at the same time the speed of the implemented circuit also increases as the cascade elements 890 use hardwired connecting lines instead of the general routing resources of the fpga . another method that can be applied for extracting the cascade chains is : 1 . prior to forming the luts the nodes ( logic gates ) to be mapped to the cascade elements are identified . 2 . the entire netlist is then mapped to the luts without considering the cascade logic elements . 3 . the identified nodes are then extracted from the mapped list as a post operation and mapped onto the cascade logic elements . since the cascade element is a single universal gate ( nand or nor ) certain constraints have to be observed while mapping gates onto the cascade element . these constraints can be divided into two groups . 1 . conditions that are to be verified when starting a new chain . 2 . constraints to be verified while the cascade chain is being formed . the first group of conditions that need to be verified when starting a new cascade chain are : 1 . the number of common inputs to the fan in luts of the cascade element should be more than four . 2 . the gate implemented in cascade element should not be of type xor , xnor or not . 3 . either one of the fan in gates should be in the cascade element or none should be in cascade element . 4 . either the gate implemented in the cascade element or its input luts should be multi fan out , but not both . 5 . if the output of the cascade element is a primary output then the gate implemented inside the cascade element should not be of type ‘ and ’ or ‘ nor ’ gate . the second set of conditions that are needed to be verified while the cascade chain is being formed are : 1 . the gate implemented in cascade element should not be of type xor , xnor or not . 2 . either one of the fan in gates should be in cascade element or none should be in the cascade logic . 3 . only one of either the gate implemented in the cascade logic or its input luts should be multi fan out . 4 . if the output of the cascade element is a primary output then the gate implemented in the cascade element should not be of type ‘ and ’ or ‘ nor ’. 5 . if the cascade element is multi fan out then there should not be more than one cascade element in the fan out list . 6 . if the lut is multi fan out then there should not be more than one cascade element in the fan out list . this process of utilizing the cascade elements while mapping a logic circuit onto target architecture is independent of the algorithm used for lut synthesis . this method provides an optimal solution superior to existing methods without any extra traversal of the gate level netlist . a programmable logic device programmed in accordance with the described embodiments of the present invention can be included in a variety of electronic systems , such as a computer system or an embedded system . it will be apparent to those with ordinary skill in the art that the foregoing is merely illustrative and not intended to be exhaustive or limiting , having been presented by way of example only and that various modifications can be made within the scope of the present invention . accordingly , this invention is not to be considered limited to the specific examples chosen for purposes of disclosure , but rather to cover all changes and modifications , which do not constitute departures from the permissible scope of the present invention . the invention is therefore not limited by the description contained herein or by the drawings , but only by the claims .