Assignment 9 ECE-210 (section A1), Fall 2015 Due date: Nov. 26 (R), 5:00 pm

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1. (3 points) The augmented JK flip-flop, called an aug-JK with inputs X and Y is shown below.

(a) Derive the characteristic equation of aug-JK. Show its transition table (or, state

table) with respect to X and Y and

(b) Complete the timing diagram. Pay attention to the clock symbol.

2. Design a decade counter (i.e. counting 0 to 9), which counts in the following sequence: ABCD = 0000, 0001, 0010, 0011, 0100, 0101, 0110, 0111, 1000, 1001, and repeat from 0000. (a) Use D flip-flops (b) Use J-K flip-flops (c) Draw a complete state diagram for the counter of (b) showing what happens

when the counter is started in each of the unused states. [3 x 1 = 3 points]

3. An MN flip-flop works as follows: (a) If MN = 00, the next state is 0; (b) If MN = 01, the next state is the same as the present state; (c) If MN = 10, the next state is the complement of the present state and (d) if MN =11, the next state is 1. Construct the state table of MN flip-flop. Using MN flip-flops design a counter which counts in the following sequence: ABC = 000,001, 011, 111, 101, 100, (repeat) 000 [4 points]