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MULH

RISC-V MULH Instruction Details

Instruction ManualR-type

Signed multiply, return upper XLEN bits of full 2×XLEN-bit product

Instruction Syntax

mulh 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

Instruction Encoding

31..25
funct7
24..20
rs2
19..15
rs1
14..12
funct3
11..7
rd
6..0
opcode

MULH uses opcode 0110011 (0x33), funct3 001, funct7 0000001. The rs1 and rs2 fields select the two source registers, and rd selects the destination register.

Format: R-type
opcode: 0110011 (0x33)
funct3: 001 (0x1)
funct7: 0000001 (0x01)

Instruction Behavior

MULH performs signed×signed multiplication (both rs1 and rs2 treated as signed) and returns the upper XLEN bits of the full 2×XLEN-bit product to rd. Combine with MUL for the full product: MULH for upper half, MUL for lower half.

Common Usage Scenarios

Comparison & Detection

Understand this scenario with real code like «mulh t0, a0, a1 # t0 = upper XLEN bits of signed(a0 * a1)».

Multiplication & Division

Understand this scenario with real code like «mulh t0, a0, a1 # t0 = upper XLEN bits of signed(a0 * a1)».

Pre-Use Checklist

Syntax Check
  • Confirm the current instruction format is R-type.
  • Confirm the operand order matches the example.
Semantic Check
  • Ensure the destination register usage is compatible with the calling convention.
  • Confirm this is not the lower-level form of a pseudo-instruction expansion.

Pitfalls / Common Confusions

Only returns upper half, need MUL for lower half
Source order must match paired MUL for fusion support