Dot Product Calculator: Quick and User-Friendly

Convert between hexadecimal and binary numbers with step-by-step breakdown

How Hex ↔ Binary Conversion Works

Direct Conversion Method: Each hexadecimal digit directly maps to exactly 4 binary digits (bits).

Conversion Table (click to expand)
HexBinaryDecimal
000000
100011
200102
300113
401004
501015
601106
701117
810008
910019
A101010
B101111
C110012
D110113
E111014
F111115

Example: Hex "2A" → Binary "00101010" (2 → 0010, A → 1010)

This tool helps you compute the dot product of two vectors. You get answers in seconds.

How to Use This Tool

Follow these steps to get your result:

  1. Enter numbers for the first vector. Use commas to separate the numbers.
  2. Enter numbers for the second vector. Use the same format.
  3. Check that both vectors have the same count of numbers.
  4. Click the calculate button.
  5. The tool will show the dot product on the screen.

If there is an error, the tool will tell you. Then you can try again.

Input Fields Explained

The first input field asks for the numbers of Vector 1. You should type numbers like 1,2,3.

The second input field is for Vector 2. It needs numbers in the same order and count. This makes the calculation correct.

Understanding the Output

The output shows the dot product. It is the sum of the products of matching numbers.

For example, if you enter 1,2,3 in the first field and 4,5,6 in the second, the dot product equals (1x4)+(2x5)+(3x6) = 32.

Limitations and Special Notes

The tool works only when both vectors have the same number of elements.

Enter only numbers. Extra spaces or wrong characters may cause an error.

This tool does not convert numbers from one format to another. It does simple dot product math.

Common Use Cases

Students can use this tool for homework. Professionals may find it useful in science and engineering.

The calculator works well for any situation that needs fast vector multiplication and sum results.