High School

What is the machine code in hexadecimal format (e.g., 0x012a) for the 32-bit MIPS instruction 'add $7, $9, $11' where the opcode for 'add' is 0x0 and the function code is 0x20? Encode the registers as 7, 9, and 11, respectively, in the given instruction.

Answer :

The machine code in hexadecimal format for the 32-bit MIPS instruction 'add $7, $9, $11' is 0x03294020

Here is the breakdown of the instruction into its binary format and their corresponding hexadecimal values:

Opcode for 'add': 000000 (in binary) -> 0x0 (in hexadecimal)

Register $9: 01001 (in binary) -> 0x9 (in hexadecimal)

Register $11: 01011 (in binary) -> 0xB (in hexadecimal)

Register $7: 00111 (in binary) -> 0x7 (in hexadecimal)

Function code for 'add': 100000 (in binary) -> 0x20 (in hexadecimal)

Putting it all together, we get:

Binary format: 000000 01001 01011 00111 00000 100000

Hexadecimal format: 0x03294020

Therefore, the machine code for the given instruction is 0x03294020 in hexadecimal format.

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