MUL

RISC-V MUL Instruction Details

Instruction ManualR-type

Multiply rs1 by rs2, store lower XLEN bits of product in rd

Instruction Syntax

mul rd, rs1, rs2
Operand Breakdown
Destination rd: register receiving the operation result.
Source rs1: register holding the first operand.
Source rs2: register holding the second operand.
MArithmeticMultiplication

Extension condition: RV32 or RV64 with M or Zmmul.

Instruction Behavior

MUL performs an XLEN-bit × XLEN-bit multiplication of rs1 by rs2 and places the lower XLEN bits of the product in the destination register rd. Product bits above XLEN are not written to rd. It is defined by M and is also included in Zmmul.

MUL Decode And Execute Animation

Starts with machine-code field decoding, then shows operand reads, instruction-specific execution, and ISA-visible state update.

rd
rs1
rs2
mul
,
,
Execution Context

This example uses fixed initial register values and PC=0x2000; instruction fetch succeeds, with no asynchronous interrupt or extra extension checks. Exception branches stop ordinary commit; post-trap PC and handler state are EEI-dependent.

a6(x16)
0xFFFFFFF0
t2(x7)
0x00000007
31..25
24..20
19..15
14..12
11..7
6..0
0000001
funct7
00111
rs2
10000
rs1
000
funct3
00101
rd
0110011
opcode
Execution Data Path
instruction
0x027802B3
opcode
0110011 -> OP
funct3
000 -> MUL
funct7
0000001 -> integer multiply selector
rd / rs1 / rs2
t0(x5) / a6(x16)=0xFFFFFFF0 (4294967280) / t2(x7)=0x00000007 (7)
32-bit multiply
Not computed
x5
t0(x5) = 0x00003001; pc = 0x00002000
Current Step

Concept Step: receive the 32-bit instruction encoding

The machine code is split by the current instruction format; the animation starts from encoding/decode.

encoding: 0x027802B3
syntax : mul t0(x5), a6(x16), t2(x7)
Pending result: Not computed
Current architectural state
t0(x5) = 0x00003001; pc = 0x00002000

This animation shows ISA-visible decode and state changes, not any specific CPU pipeline, cache, prediction, or timing implementation.

Quick Understanding & Search Notes

rd, rs1 and rs2 are three 5-bit integer-register fields, with no immediate. A single instruction allows destination/source overlap and uses source values before writeback.
M and Zmmul use identical encodings; M implies Zmmul. RV32 and RV64 operate at XLEN=32 and XLEN=64 respectively.

Common Usage Scenarios

XLEN-bit integer multiplication

Understand this scenario with real code like «mul a0, a1, a2 # a0 = (a1 * a2) & ((1 << XLEN) - 1)».

Pre-Use Checklist

Syntax Check
  • rd, rs1 and rs2 are three x0–x31 register fields (ABI aliases are accepted), with no rs3 or immediate.
  • M or Zmmul is required; MULW is RV64-only, while the other four operate on RV32/RV64.
Semantic Check
  • Multiply rs1 by rs2, store lower XLEN bits of product in rd
  • Destination/source overlap uses old source values; rd=x0 discards writeback. A recommended high-half/MUL pair keeps source order and uses a high-half destination different from both sources.

Pitfalls / Common Confusions

Overflow is truncated, only low XLEN bits kept
When both halves of one product are needed, use MULH, MULHSU, or MULHU followed by MUL with the same source order; the high-half destination must not equal either source

FAQ

May rd overlap a source or be x0?

Yes: sources use old values and x0 discards writes. For both halves, the recommended MULH/MULHSU/MULHU then MUL pair keeps source order and a high-half destination different from both sources. This condition applies to the pair, not single-instruction legality.