Question

For the MIPS instruction sw $s3,18820($t5), show the immediate number, opcode, rs, and rt in binary in the given order, separated by comma.

Answer 1

0100100110000100,101011,01101,10011

Explanation:
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sw $s3,18820($t5)
immediate number:   18820
Divide 18820 successively by 2 until the quotient is 0
   > 18820/2 = 9410, remainder is 0
   > 9410/2 = 4705, remainder is 0
   > 4705/2 = 2352, remainder is 1
   > 2352/2 = 1176, remainder is 0
   > 1176/2 = 588, remainder is 0
   > 588/2 = 294, remainder is 0
   > 294/2 = 147, remainder is 0
   > 147/2 = 73, remainder is 1
   > 73/2 = 36, remainder is 1
   > 36/2 = 18, remainder is 0
   > 18/2 = 9, remainder is 0
   > 9/2 = 4, remainder is 1
   > 4/2 = 2, remainder is 0
   > 2/2 = 1, remainder is 0
   > 1/2 = 0, remainder is 1
Read remainders from the bottom to top as 100100110000100
So, 18820 of decimal is 100100110000100 in binary
0100100110000100

opcode: sw (101011)
rs:     $t5 (01101)
rt:     $s3 (10011)