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ECE 190 Midterm Exam 1
Spring 2011
Practice exam, February 2011
Name: NetID:
Programming studio section (mark only the one you attend):
DCL 440 DCL 520 9:00 AM [ ] AD4 [ ] AD 12:00 PM [ ] AD5 [ ] AD 1:00 PM [ ] AD3 [ ] AD 2:00 PM [ ] AD 3:00 PM [ ] AD1 [ ] AD
Be sure your exam booklet has 5 pages. Do not tear the exam booklet apart. Write your name at the top of each page. This is a closed book exam. You may not use a calculator. You are allowed one handwritten 8.5 x 11" sheet of notes. Absolutely no interaction between students is allowed. Be sure to clearly indicate any assumptions that you make. Don’t panic, and good luck!
Problem 1 10 points _______________________________
Problem 2 5 points _______________________________
Problem 3 10 points _______________________________
Problem 4 5 points _______________________________
Total 30 points _______________________________
Problem 1 (10 points): Binary representation
Part A (2 points): What range of decimal numbers can be represented using 9 bits in each 2’s complement, 1’s complement, and unsigned binary representations?
2’s complement: _____________________
1’s complement: _____________________
Unsigned binary: _____________________
Part B (2 points): Base 8 representation of numbers is called “octal”, and uses only digits 0 through 7. Give the following equivalent numbers for octal number 1275 in each binary, decimal, and hexadecimal representation.
Binary: _____________________
Decimal: _____________________
Hexadecimal: _____________________
Part C (1 point): How is the number 2 represented in the floating point data type format?
Answer: _________________________________________________
Part D (1 points): What is the largest possible positive number that can be expressed in the floating point data type, using an exponent between 1 and 254? Write your answer in binary, in IEEE 754 floating point format.
Answer: _________________________________________________
Part E (4 points): Using 2-complement arithmetic, what 32-bit number can be added to this floating point number to effectively multiply by 28?
0 01111101 00000000000000000000000
Answer: _________________________________________________
Problem 3 (10 points): Memory
Given four 1-bit memory cells, build a 2x2-bit memory unit using only AND, OR, NOT gates and MUXes:
Problem 4 (5 points): C language
Part A (1 points): Assume variables x , y , and z are already declared. Write a C expression to evaluate 𝑥 + 1 1 + 𝑦
𝑧^5
Do not switch the order of operands.
Answer: ___________________________________________________
Part B (2 points): Fill in missing expressions to implement the following formula:
if ( _________________________________________ )
f = x;
else if ( ____________________________________ )
f = - x; else f = x + 1;
Part C (1 points): Write the output produced by the following code segment:
int x = 5; do { printf(“%d “, --x); } while (x != 4)
Answer: ____________________________________________
Part D (1 points): Using only declared variables, write missing arguments in printf function call that correspond to the provided format conversion specifications.
int count; char inchar; printf(“%c %d”, _________________________________________ );
