COMPUTER ARCHITECTURE QUESTION: In the following two cases, find out whether there will be an overflow...
COMPUTER ARCHITECTURE QUESTION:
In the following two cases, find out whether there will be an
overflow exception after the instruction
add $t0, $t1, $t2
Explain why.
1) The numbers in $t1 and $t2 are 0xA0000004 and
0xA0000002, respectively.
2) The numbers in $t1 and $t2 are 0xA0000002 and
0x7FFFFFF2, respectively.
Homework Answers
1)
0xA0000004 = 1010 0000 0000 0000 0000 0000 0000 01002 is a negative
0xA0000002 = 1010 0000 0000 0000 0000 0000 0000 00102 is a also negative.
So, From the maths rule, After adding negative number with a negative number results in a positive number. So there is overflow
2)
0x7FFFFFF2 = 0111 1111 1111 1111 1111 1111 1111 00102 is a positive integer,
0xA0000002 = 1010 0000 0000 0000 0000 0000 0000 00102 is a negative integer.
A positive number adding a negative number never leads to overflow. So there is no overflow.
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