1/24/03 5:33 PM
ECSE2660 Computer Architecture, Networks, & Operating Systems, Spring 2003
Page 1 of 5
Homework #01 Solution
(Individual work, due Friday 012403)
Last Name
First Name
Student ID Number
1
2
3
4
5
6
7
8
Total
Grader’s
Initials
20
15
10
5
20
10
10
10
100
A. Review of prerequisite material
1a. (5 points) Express the following decimal integer in hexadecimal notation for 20bit two's complement
representation.
4707
10
=
FED9D
16
Grading:
5 pts for correct answer, 2pts trying, 0 for no answer
1b. (5 points) The following signed numbers in 16bit two’s complement form are given in hexadecimal
notation. Give the answer in normal base10 notation, including sign.
E0C7
16
+ 0F70
16
=
 4041
10
Grading:
5 points for correct decimal, 2 trying, 0 for no answer.
1c. (5 points) Convert the following base10 number to binary form. Use precision of 12 bits for the fraction.
204.7
10
=
1100 1100.1011 0011 0011
2
Grading:
3 points for correct fraction, 2 for correct integer, 0 for no answer
1d (5 points) Convert the following binary number to base10 form. Use precision of 3 digits for the fraction.
1111.1101 1001
2
=
15.847
10
Grading:
3 points for correct fraction, 2 for correct integer, 0 for no answer
2a. (5 points) From the following circuit, find F in terms of A and B.
A
B
F
B
B
A
A
B
A
F
)
(
)
(
+
+
+
=
Grading:
5 points for correct, 2 for trying, 0 for no answer
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1/24/03 5:33 PM
ECSE2660 Computer Architecture, Networks, & Operating Systems, Spring 2003
Page 2 of 5
2b. (5 points)
Simplify F as much as possible, showing all work. What type of single gate would give
equivalent results? (AND, OR, NAND, etc.)?
F = AA’+BA’ + AB’ + BB’ = A’B + AB’. So, an XOR gate would be sufficient.
Grading:
5 points for correct, else 0
2c. (5 points) Assume that delay for OR and NOR gates is 3 ns, and the delay for the inverted AND gates is
2.5 ns. What is the overall circuit delay for the circuit shown?
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 Binary numeral system, Decimal, D C G F E B

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