2410 -- Simple Computers

You are to write an interpreter for a simple computer. This computer uses a processor with a small number of machine instructions. Furthermore, it is equipped with 32 byte of memory, one 8-bit accumulator (accu) and a 5-bit program counter (pc). The memory contains data as well as code, which is the usual von Neumann architecture.
The program counter holds the address of the instruction to be executed next. Each instruction has a length of 1 byte - the highest 3 bits define the type of instruction and the lowest 5 bits define an optional operand which is always a memory address (xxxxx). For instructions that don't need an operand the lowest 5 bits have no meaning (-----). Here is a list of the machine instructions and their semantics:

000xxxxx   STA x   store the value of the accu into memory byte x

001xxxxx   LDA x   load the value of memory byte x into the accu

010xxxxx   BEQ x   if the value of the accu is 0 load the value x into the pc

011-----   NOP     no operation

100-----   DEC     subtract 1 from the accu

101-----   INC     add 1 to the accu

110xxxxx   JMP x   load the value x into the pc

111-----   HLT     terminate program

In the beginning, program counter and accumulator are set to 0. After fetching an instruction but before its execution, the program counter is incremented. You can assume that programs will terminate.

00111110 10100000 01010000 11100000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00111111 10000000 00000010 11000010 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 11111111 10001001