Multiplication of Hexadecimal Numbers
Multiply hexadecimal integers exactly and see the shifted partial products. The tool keeps long values precise and verifies the final hex product with decimal multiplication.
Written and checked by TheToolNet Editorial Team · Last reviewed: September 19, 2026 · How we check arithmetic tools
Use ordinary long multiplication, but every position is a power of 16 and carrying happens at 16.
Hex multiplication calculator with steps
How to multiply hexadecimal numbers
- Start with the rightmost digit of the multiplier and multiply it by every digit of the multiplicand.
- Write each partial product in hex, carrying at 16.
- Move one hex place left for every new multiplier digit. A one-place shift multiplies by 16.
- Add the shifted partial products in hexadecimal.
Worked example: 2A × 1F
Multiply 2A by F, then multiply 2A by 1 and shift that second partial product one hexadecimal place. The exact answer is 516₁₆. Decimal verification: 2A₁₆ = 42 and 1F₁₆ = 31; 42 × 31 = 1302, and 1302 decimal is 516 hexadecimal.
Useful single-digit hex products
| Hex product | Decimal calculation | Result |
|---|---|---|
| 5 × 3 | 5 × 3 = 15 | F |
| E × 2 | 14 × 2 = 28 | 1C |
| A × F | 10 × 15 = 150 | 96 |
| F × F | 15 × 15 = 225 | E1 |
When adding partial products, the hexadecimal addition calculator can show every carry.
Scope and limitations
This calculator accepts non-negative whole hexadecimal values through 512 digits. It performs mathematical integer multiplication, not fixed-width CPU multiplication, so it does not truncate overflow or interpret a sign bit.
Frequently asked questions
Is hex multiplication different from decimal multiplication?
The long-multiplication structure is the same, but place values and carries use base 16.
What is A times F in hexadecimal?
The result is 96₁₆ because decimal 10 × 15 = 150, and 150 decimal equals 96 hex.
How do I verify a hex product?
Convert both factors to decimal, multiply them, and confirm that converting the decimal product back to hex gives the same answer.