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# solution_midterm - ECSE 2610 Mid-Term Exam Spring 2005...

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Unformatted text preview: ECSE 2610 Mid-Term Exam, Spring, 2005 Duration 12:00 — 1:50pm Student Name Student ID Number 50 Wﬁm Section Number Email Address Exam Rules: This is an Open Book and Notes exam. You are not allowed to consult with other students. You may not use a. calculator, laptop, palmtop, PDA: or such computer. If you need more space, continue on' the back sides of pages. but make sure to indicate the continuation. 3 l 4 5 6 Total _1 15 points 10 points 10 points 10 points 15 Points 20 points PAGE 1 One, (15 points, 3 points each) 1. Given a 7-bit binary number 1110001 determine 0 its decimal value if it represents an unsigned number | I 5 [0 0 its decimal value if it represents a two‘s complement number ,1 E 0 its HEX representation ‘7 it". ionasanunsignednumber 000] 000) 00!! 6 0 its BCD representat 6D o the ASCII character if it represents a character " CZ, alculation using 2’s complement and indicate if an overﬂow 6-bit long 2’s complement numbers and 11: Z = (-20) + 2. Perform the following (2 occurred. First convert the decimal number to then do the addition. Show the result of the conversion and additio (-13) [10 pts] Positive, 2‘ com ‘20 010100 ion-Hf! ,5. (01:00 Olllll 0&2»be 9W6 n, using DeMorgan’s theorem. Then, 3. Find the complement of the following functio cally [10 pts]. simplify the complemented function as a sum of product form algebrai F = ABC” + B’(A+G’) P: [484-0101 4-. Consider the function F : ZA,B,0,D(L3343639) + d(0,5,7,11,12) 0 Give the minimized SOP expression of F using K-map [5 p135]. 0 Implement the function F using a 74 x 138 decoder and label the decoder pins appropriately [5 p133] F: '2 0,2335) H51) 5. The following logic circuit consists of a 2—4 decoder and a 4‘1 multiplexer. Its inputs are X: Y, SO, and 81 (where X is MSB and and SE] is LSB), and its output is F (15 points). 6. Score as shown below. There is usually at least one digit in the timing clock that only needs to display the digits 0 through 5. Assume that there are three inputs, X2, X1, X0, that give a binary representation of the number to be displayed. For example, if we want to display a ﬁve} the input would he nggxo. Find a simpliﬁed Boolean expression that represents when the top left light is on (in black). Wire and label the 8:1 mm: below to implement the simpliﬁed expression (20 points). boards for sporting events often represent numerical digits in 3 x 5 grids of LEDs 000 “0 g: 392:5:3 m§zm§a p ,, g; (0,2,3/35) + (Mfr?) .—-— 333% g s \$24.79 ._— l " ﬁrth-hm 8:1MIJX 0-—q En [—10 a——11 Yr _. ;——12 F ;——113 ;-—-I4 {——'15 0——16 0—17 52 SI 50 7‘; 7k. 7% 5 ...
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solution_midterm - ECSE 2610 Mid-Term Exam Spring 2005...

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