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מבנה המחשב - מבוא למחשבים ספרתיים U-PENCs, B-PENCs & Half Decoders תרגול מספר 6.

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Presentation on theme: "מבנה המחשב - מבוא למחשבים ספרתיים U-PENCs, B-PENCs & Half Decoders תרגול מספר 6."— Presentation transcript:

1 מבנה המחשב - מבוא למחשבים ספרתיים U-PENCs, B-PENCs & Half Decoders תרגול מספר 6

2 U-PENC Design

3 Correctness of U-PENC Design Induction base:

4 Correctness of U-PENC Design (2)

5 Correctness of U-PENC Design (3)

6 Extending the U-PENC design for all values of n Why divide? Why is it not a good idea to set k=const?

7 Delay Analysis of the U-PENC

8 Cost Analysis of the U-PENC Is it optimal?

9 U-PENC Cost – Lower Bound Why is this is the best lower bound we can make?

10 Building a non-optimal Half-Decoder from existing blocks U-PENC (2 n ) Bitwise-NOT (2 n ) Decoder (n) y[0:2 n -1] 2n2n 2n2n x[0:n-1]

11 Half-Decoder Cost – Lower Bound

12 Half-Decoder Cost – Lower Bound (2)

13 Half-Decoder Cost –Lower Bound (3)

14 Half-Decoder Cost – Lower Bound (4)

15 Cost of a B-PENC(n) - Solving the Recursion


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