hw7 - ECE320 Homework 7 Cornell University Spring 2006...

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ECE320 Homework 7 Spring 2006 Cornell University T.L.Fine Please hand in this assignment at Professor Fine’s office, RH388, by 5pm on Monday, 27 March, so that I can post solutions that evening. Use only your assigned three-digit code and not your name. The second class examination will be held on Tuesday, 28 March, in PH101, from 7:30pm to 9pm. It will cover material from Section 4.5 (not Shannon- Fano-Elias coding) through Chapter 6. I will take questions on this material in class on Tuesday, 28 March. You will be penalized for failing to follow examination instructions. Throughout, give reasons for your answers. 1. Formally describe the prefix decoder shown in Figure 1 by specifying the components Σ , I , O , f, g . start 0 1 2 σ σ σ [0]/0 [1]/ ε [1]/ ε [0]/10 [0]/110 [1]/111 Figure 1: Prefix Decoder 2. Design a door access electronic combination lock as an FSA . The lock characteristics are a keypad containing keys for the five numerals 1 , . . . , 5 and a doorknob. You need to enter the following three digits 3, 2, 5, immediately after the lock has been reset, to ready the lock to be unlocked. Turning the
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