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hw5solutions - GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of...

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Unformatted text preview: GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL and COMPUTER ENGINEERING ECE 2030a,b Fall 2005 Problem Set #5 Assigned: 13-Oct—05 Due Date: 21-Oct—05 ————_————.——__—_____ This assignment is due at the beginning of class on Friday, October 21. Remember to check the class web page http://users.ece.gatech.edu/dva/ece2030/ regularly for up dates, handouts, and other resources. —-—-———-————___—__ Problem 1 (2 pts): As discussed in class, a four-bit comparator is built on smaller building blocks that essentially determine if two bits, Ai and Bi are equal 2 Ai XNOR Bi), if Az- > Bi (iii-E), or if Az- < Bi. (a) Deﬁne a function f (Ai, Bi) such that yi = f (Ai, Bi) indicates that Az- 2 Bi. (b) Create a function to indicate if a four—bit number A is greater—than or equal—to a four—bit number B using yi’s, zi’s, Ai’s, and Bi’s as needed. (013 ~V = AL-FE; :\/L (bl GE: ﬁgs '1’ Y3 WE; 4‘ Y3 Va 7" 4” V3 V27]: Va Problem 2 (2 pts): Complete the timing diagram for the circuit below. OUT Problem 3 (2 pts): Often a system will have two clocks that do not overlap to prevent possible problems that would arise if both transparent latches were simultaneously momentarily enabled. Complete the timing diagram for the circuit below. __OUT IN Transparent Latch Transparent Latch Phi 1 (3) Phi 2 Phi l Phi 2 IN (*1) OUT Problem 4 (4 pts): (a) Complete the timing diagram for the circuit below. Extra space is given in case you Wish to deﬁne additional signals to aid in calculating the output. Transparent __ Transparent Latch Latch (b) Fill in the table below describing the operation of the circuit as a function of J and K: L7 l K Q(t+ 1) operation 0 i 0 (Mt) bold umieﬁ» 0 1 o rem-i” 1 0 i set 1 J_1 Q (t) Complement ...
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