Computer Organization and Design MIPS Edition, Fifth Edition: The Hardware/Software Interface (The Morgan Kaufmann Series in Computer Architecture and Design)
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Chapter 2, Problem 2.12.3E

Explanation of Solution

The value of $t0:

The given is:

$s0 = 0x80000000

$s1 = 0xD0000000

sub $t0, $s0, $s1

The “sub” instruction is used to subtracting the registers “$s0” and “$s1” is same as adding 2’s complement of that number and finally store the result in the “$t0”.

Step1: Convert the hexadecimal value into the binary value

0x80000000 = 1000 0000 0000 0000 0000 0000 0000 0000           0xD0000000 = 1101 0000 0000 0000 0000 0000 0000 0000

Step2: taking 2’s compliment for “$s1”

 1101 0000 0000 0000 0000 0000 0000 0000interchange given binary number:0010 1111 1111 1111 1111 1111 1111 1111add "1" to the interchange binary number0010 1111 1111 1111 1111 1111 1111 1111                                                           

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