NAR 2 explained

NAR 2 (Serbian Nastavni Računar 2, en. Educational Computer 2) is a theoretical model of a 32-bit word computer created by Faculty of Mathematics of University of Belgrade professor Nedeljko Parezanović as an enhancement to its predecessor, NAR 1. It was used for Assembly language and Computer architecture courses. The word "nar" means Pomegranate in Serbian. Many NAR 2 simulators have been created - for instance, one was named "Šljiva" (en. plum) as that fruit grows in Serbia, while "nar" does not.

Instruction structure

The NAR 2 central processing unit uses 32-bit machine words. Each Machine instruction contains:

Registers

NAR 2 has four registers:

Mnemonics

Following opcodes were available (actual codes were not specified, only mnemonics):

Memory/register access

Integer arithmetic

Note: all mnemonics in this group end with letter "F" indicating "Fiksni zarez" (en. Fixed point) arithmetic. However, this is only true for addition, subtraction and negation (sign change). Multiplication and division assume that the "point" is fixed to the right of least significant bit - that is that the numbers are integer.

Floating point arithmetic

Bitwise/logical

Note: above operations are all bitwise. Their names imply that they are purely logical operations but they can be explained as if they operate on vectors of bits and separately apply logical operations on each pair of bits.

Logical shifts

Flow control

Standard assembly language syntax

The NAR 2 assembly language syntax was designed to be straightforward and easy to parse. Each program line may contain up to one instruction specified as follows:

  1. Instruction mnemonic
  2. Whitespace, if instruction specifies any index registers, addressing mode or a parameter and then comma-separated:
    1. Name of index register, if used
    2. Names of addressing mode flags (also comma separated)
    3. Parameter value

Sample code:

aum X1, p, 0 mua n, 1 aum 15 pir X1, p, n, 1 mua X1, p, n, 0 oduf n, 1 oduf X2, p, n, 0

Addressing modes

With four address mode selection bits (P, R, I and N - indexed, relative, indirect and immediate), NAR 2 instructions can specify 16 different addressing modes but not all make sense in all instructions. In the following table:

Addr. flagsInstruction type
PRINDataJump
 -   -  -  -  M[p]p
 -   -  - N pp
 -   - I -  M[f(M[p])]f(M[p])
 -   - IN f(M[p])f(M[p])
 -  R -  -  M[BN+p]BN+p
 -  R - N BN+pBN+p
 -  RI -  M[f(M[BN+p])]f(M[BN+p])
 -  RIN f(M[BN+p])f(M[BN+p])
P  -  -  -  M[Xi+p]Xi+p
P  -  - N Xi+pXi+p
P  - I -  M[f(M[Xi+p])]f(M[Xi+p])
P  - IN f(M[Xi+p])f(M[Xi+p])
P R -  -  M[BN+Xi+p]BN+Xi+p
P R - N BN+Xi+pBN+Xi+p
P RI -  M[f(M[BN+Xi+p])]f(M[BN+Xi+p])
P RIN f(M[BN+Xi+p])f(M[BN+Xi+p])

Note 1: "N" (immediate) flag has no effect on jump (flow control) instructions, as the processor can not jump into a specified value, but only to a memory address.

Multi-level memory indirect

NAR 2 supports multi-level memory indirect addressing mode. The location is first chosen by "looking" at P (indexed) and R (relative to program counter) flags. Then, if I (indirect) flag is detected, a 32-bit word is loaded from the memory location calculated so far and the calculation is restarted (including all addressing mode flags, index register selection and parameter value - only the "opcode" is omitted). Thus, the following program, if loaded at memory location 0 and executed:

mua I, 0 ; Memory-Into-Accumulator, Indirect, from location 0

... will freeze NAR 2 in an infinite address calculation loop:

  1. "I, 0" specifies that the actual address is to be loaded from memory location 0
  2. Memory location 0 is loaded. It reads "I, 0" again
  3. "I, 0" specifies that the actual address is to be loaded from memory location 0
  4. Memory location 0 is loaded. It reads "I, 0" again
  5. "I, 0" specifies that the actual address is to be loaded from memory location 0
  6. Memory location 0 is loaded. It reads "I, 0" again
  7. ...

Note that:

mua R, I, 0 ; Memory-Into-Accumulator, Relative, Indirect, from location BN+0

seems more generic (could freeze NAR 2 from any location), but this depends on when BN register value is incremented/changed.

The question of treatment of "N" (immediate) flag in presence of I (indirect) flag is open as the situation is somewhat ambiguous—that is, whether or not to honour the flag value specified in the original instruction or the one in the indirectly specified (looked up) address leads to a conflict. The table above presents the first case to show different addressing modes achievable this way.

Reading values from Index Registers

NAR 2 has instructions to initialize the value of particular index register ("PIR" mnemonic). However, it does not have special instructions to read values index registers. This is achieved by using indexed and immediate (P, N) addressing mode flags, such as:

mua Xi, P, N, n ; Memory-Into-Accumulator, Indexed, Immediate, 0

... which essentially puts Xi+n into accumulator. For n=0, this turns into a "load index register value into accumulator" instruction.

See also

External links