Multiply hexadecimal numbers of any size exactly. Multiplying by 0x10 shifts a value one hex digit left – four bits – which is why hex multiplication maps neatly onto bit shifts.
Show calculation steps
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Products in base 16
Hex multiplication follows decimal’s algorithm with base-16 digit products — and one glorious shortcut: multiplying by 0x10 appends a zero, i.e. shifts left four bits. Powers of 0x10 move whole nibbles, making size-times-count arithmetic mostly shifts.
This page computes exact products at any length, decimal-verified.
Worked example
FF × 10 = FF shifted one hex place = FF0 (255 × 16 = 4080 ✓) And FF × FF = FE01 (255² = 65025)
Where hex products appear
Element size × count for buffer allocation, stride × row for framebuffer addressing, page size × page number in memory management, entry size × index into tables. The operands are hex in the source material; multiplying natively keeps them trustworthy.
Length planning
Digit counts add: 2-digit × 2-digit ≤ 4 digits (FE01 above), mirroring bits. Knowing the ceiling before computing sizes the destination field — the same rule that shapes 32×32→64 hardware multipliers.
Privacy
Products computed locally; nothing transmitted.
Shifting nibbles instead of digits
In decimal, multiplying by ten appends a zero; in hex, multiplying by 0x10 appends a zero too — but it means shifting left by four bits, so 0x10 × 0x10 is 0x100, which is 256. The most common real use is computing byte offsets: element index times element size. An array whose elements occupy 0x18 bytes each puts element five at offset 0x78, because 24 × 5 = 120. Working that in hex keeps the result aligned with what you will actually see in a debugger’s memory view, and the decimal cross-check verifies it.
How to use the Hex Multiplication Calculator
- Enter the two hex factors.
- Click "Multiply".
- The hex product appears with its decimal verification.
- Note how ×0x10 shifts digits – the steps call it out.
Frequently asked questions
What does multiplying by 0x10 do?
Appends a hex zero – a four-bit left shift, since 0x10 = 16 = 2⁴. FF × 10 = FF0 instantly. Powers of 0x10 shift whole nibbles, the hex analogue of decimal ×10.
How big is the product of two hex numbers?
At most the sum of the digit counts: 4-digit × 4-digit ≤ 8 digits (mirroring the m+n bit rule). Useful for sizing buffers before computing.
When is hex multiplication used for real?
Scaling structure sizes (count × sizeof in hex), stride calculations into arrays and framebuffers, page-table arithmetic (entries × 8), and cryptographic schoolwork on big values.
Are letter digits multiplied like numbers?
Exactly – A×B is 10×11 = 110 decimal = 0x6E. There is no special letter arithmetic; the letters are notation.
Does the calculator show partial products?
The steps outline the decimal bridge and the nibble-shift insight rather than a full hex long-multiplication grid – the exact result plus the ×0x10 structure is what transfers to real work.
Can factors exceed 64 bits?
Yes – the product of two 16-digit factors (128 bits) is exact. No float involvement anywhere.
Where does it compute?
In your browser; operands never leave the page.
