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Unformatted text preview: ECSE 2610 MidTerm 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 7bit 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
6bit 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 ionHf! ,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: [4840101 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 Kmap [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
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