sp99 prerequisite quiz

# Computer Organization and Design: The Hardware/Software Interface

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1 University of California, Berkeley College of Engineering Computer Science Division EECS Spring 1999 John Kubiatowicz Prerequisite Quiz February 1, 1999 CS152 Computer Architecture and Engineering This prerequisite quiz will be used in determining class admissions. The use of calculators or notes is not allowed during this quiz. Good Luck! Your Name: SID Number: Discussion Section: 1 2 3 4 Total

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3 1) Assume that we have a 16 bit system that uses signed, two’s-complement integers. Perform the following conversions: -8 10 to base 2: D458 16 to base 2: 24 10 to base 16: (1111110110101100) 2 to base 16: FC34 16 to base 10:

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4 2) Suppose that we start with the following C program for factorial: int fact (int n) { if ( n < 1 ) { return 1; } else { return n fact (n-1); } } Here is a translation of the program above into MIPS assembly language. fact: slt \$s0,\$a0,1 bne \$s0,\$zero,L1 add \$v0,\$zero,1 jr \$ra L1: sub \$sp,\$sp,2 sw \$a0,0(\$sp) sub \$a0,\$a0,1 jal fact lw \$ra,4(\$sp) add \$sp,\$sp,2 mult \$v0,\$a0,\$v0 jr \$ra a) There are 6 mistakes in this translation. Fix them in the above listing.
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