Yes, as long as the remaining bits are enough to specify the operation.
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A machine instruction can use some of its bits as one of the operands for a machine operation. This is called an immediate operand. For example, here is one of the instructions from the previous example program:
address machine code assembly code —————————— —————————— ———————————— 0x00400000 0x34080002 ori $8,$0,0x2 ----
The last 16 bits (four nibbles) of the machine instruction contain the operand 0x0002. (The assembly language instruction can just say "0x2"). The machine instruction tells the ALU to perform a bitwise OR between the contents of register $0 and the immediate operand 0x0002. The result is put in register $8.
A bitwise operation is where a logical operation is performed on the bits of each column of the operands. Here is the bitwise OR between two 8-bit patterns:
0110 1100 operand 0101 0110 operand --------- 0111 1110 result