SYEN 3330 Digital Systems Chapter 3 SYEN 3330

SYEN 3330 Digital Systems Chapter 3 SYEN 3330 Digital Systems Jung H. Kim Chapter 3 1

Design Hierarchy SYEN 3330 Digital Systems 2

Hierarchical Design SYEN 3330 Digital Systems 3

Reusable Functions and Design SYEN 3330 Digital Systems 4

Top-Down verses Bottom Up SYEN 3330 Digital Systems 5

Analysis Procedure SYEN 3330 Digital Systems 6

Analyze the network below A B' C F T 1 D' SYEN 3330 Digital Systems B E' T 2 7

Analysis (Continued) A B' C F T 1 D' B E' A B' C B E' T 2 T 3=D’+T 2 F T 1 T 4 D' T 3 T 2 SYEN 3330 Digital Systems T 4=T 1 T 3 F = A+T 4 8

Analysis (Continued) A B' C T 1 T 4 D' B E' F T 3 T 2 SYEN 3330 Digital Systems 9

Analyze the Code Converter A F 2 w B F 1 x D C F 0 z y SYEN 3330 Digital Systems 10

Code Converter (Cont. ) SYEN 3330 Digital Systems 11

Truth Tables from Diagrams SYEN 3330 Digital Systems 12

Code Converter Truth Table SYEN 3330 Digital Systems 13

Truth Table Fill-In SYEN 3330 Digital Systems 14

Finish Up Entries SYEN 3330 Digital Systems 15

What Does the Circuit Do? SYEN 3330 Digital Systems 16

Final Note (and warning) SYEN 3330 Digital Systems 17

Logic Design: Functional Blocks SYEN 3330 Digital Systems 18

Review Combinatorial Logic SYEN 3330 Digital Systems 19

Design Procedure SYEN 3330 Digital Systems 20

Code Converter Design SYEN 3330 Digital Systems 21

Example: BCD to Excess 3 Note: All BCD codes greater than "9" can be assigned "Don't Cares" in the K-Map. Such BCD codes are never possible. SYEN 3330 Digital Systems 22

Example (Cont. ): BCD to Excess 3 Minimized Equations: z=D' y=C D + C ' D ' (exnor) x=B ' C + B ' D + B C ' D ' w = A + B C + B D SYEN 3330 Digital Systems 23

BCD to Excess 3 Implementation SYEN 3330 Digital Systems 24

BCD to Excess 3 SYEN 3330 Digital Systems 25