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i) The width of the sorting + merging circuit is equivalent to maximum number of devices needed in a phase is O(n/2). As in the above diagram maximum number of devices for a given phase is 4 that is 8/2 or n/2.
ii) The circuit comprises two sorting circuits for sorting sequences of length n/2 and afterwards one merging circuit for merging of two sorted sub sequences (see phase 4th in above figure). Let functions Tm and Ts signify the time complexity of merging and sorting in terms of its depth.
The Ts can be calculated as follows:
Ts (n) =Ts (n/2) + Tm (n/2)
Ts (n) =Ts (n/2) + log (n/2),
Therefore, Ts (n) is equal to O (log2 n).
Figure: Sorting + Merging Circuit
Yes, single thread module
prototype model
can you deign the schematic of a modified digital clock at the gate as well as the IC level and then construct the circuit, lab spec and industral spec?
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