Question

2.13 Assume that $s0 holds the value 128, ten" 2.13.1 [5]<§2.4> For the instruction add sto, sso, ssl, what is the range(s) of values for $s1 that would result in overflow? [5] <$2.4> For the instruction sub sto, $s0, $s1, what is the rangets) of values for $s1 that would result in overflow? 2.13.3 [5]<$2.4> For the instruction sub st0, $s1,$s0, what is the range(s) of values for $S1 that would result in overflow? following binary value: 0000 0010 0001 0000 1000 0000 0010 0000 2.15 (5) <$52.2, 2.5 Provide the type and hexadecimal representation of following instruction: sw $tl. 32(St2)

$s0 - holds value of 128 (see top of image)

No additional information has been provided by the textbook to answer the following questions.

Any help for any of the following questions is appreciated!

Answer 1

2.13

2.13.1

given $s0 holds value 128

instruction add $t0,$s0,$s1 will add $s0,$s1 and store it in $t0 the maximum value an integer can hold in mips is upto 2^32 - 1 digits so the maximum value upto which $s1 holds is 2,147,483,519 and minimum value is -2147483776

The range value is -2^31-128>$s1 >2^32-128

2.13.2

instruction sub $t0,$s0,$s1 will subtract $s1 from $s0 and store it in $t0 i.e $t0 = $s0-$s1

the range of s1 is -2^32+128>$s1>2^31+128

2.13.3

instruction sub $t0,$s1,$s0 will subtract $s0 from $s1 and store it in $t0 i.e $t0 = $s1-$s0

the range of s1 is -2^31+128>$s1>2^32-128