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Additional info for Introduction to Reconfigurable Computing: Architectures, Algorithms and Applications
The argument a is used as input in combination with a second input 0 and the second argument b is used as selector. The Shannon expansion theorem can be used to decompose a function and implement it into a MUX. This theorem states that a given Boolean logic function F (x1 , . . , xn ) of n variables can be written as shown in the following equation. F (x1 , · · · , xn ) = F (x1 , · · · , xi = 1, · · · , xn ) × xi + F (x1 , · · · , xi = 0, · · · , xn ) × xi Where F (x1 , · · · , xi = 1, · · · , xn ) is the function obtained by replacing xi with one and F (x1 , · · · , xi = 0, · · · , xn ) the function obtained by replacing xi by zero in F .
2. Simple Programmable Logic Devices Programmable logic arrays (PLA) and programmable array logic (PAL) consist of a plane of AND-gates connected to a plane of OR-gates. The inputs signals as well as their negations are connected to the inputs of the ANDgates in the AND-plane. The outputs of the AND-gates are use as input for the 27 Reconfigurable Architectures OR-gate in the OR-plane whose outputs correspond to those of the PAL/PLA. The connections in the two planes are programmable by the user.
Shown is the realization of the XPuter as a map oriented machine (MoM). The overall system was made upon a host processor, whose memory was accessible by the MoM. The rALU subnets received their data directly from local memory or from the host main memory via the MoM bus. 8. General architecture of the XPuter as implemented in the Map oriented Machine (MOM-3) prototype 22 Reconfigurable Computing among the rALUs via direct serial connections. Several XPuters could also be connected to provide more performance.