Question: The prefix network shown in Figure 5.7 uses black cells to compute all of the prefixes. Some of the block propagate signals are not actually

The prefix network shown in Figure 5.7 uses black cells to compute all of the prefixes. Some of the block propagate signals are not actually necessary. Design a “gray cell” that receives G and P signals for bits i:k and k−1:j but produces only Gi:j, not Pi:j. Redraw the prefix network, replacing black cells with gray cells wherever possible.

14 13 12 11 10 9 8 1 0 15 7 5 3 2 -1 14:13 12:11 10:9 8:7 6:5 4:3 2:1 0:-1 14:11 13:11 10:7 9:7 6:3 5:3 2:-1 1:-1 14:7 13:7 12:7 11:7 6:-1 5:-1 4:-1 3:-1 14:-1 13:-1 12:-1 11:-1 10:-1 9:-1 8:-1 |7:-1 15 14 13

14 13 12 11 10 9 8 1 0 15 7 5 3 2 -1 14:13 12:11 10:9 8:7 6:5 4:3 2:1 0:-1 14:11 13:11 10:7 9:7 6:3 5:3 2:-1 1:-1 14:7 13:7 12:7 11:7 6:-1 5:-1 4:-1 3:-1 14:-1 13:-1 12:-1 11:-1 10:-1 9:-1 8:-1 |7:-1 15 14 13 12 11 10 9 7 6 Figure 5.7 16-bit prefix adder Legend i:j A; B; G-1-1A; B; Pii G Pii S; 4,

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