The hexadecimal number 16 converts to the decimal number 22.
To explain, in hexadecimal, each digit represents a power of 16. The digit ‘1’ is in the 16’s place, and ‘6’ is in the 1’s place. So, 1 times 16 plus 6 times 1 equals 16 + 6, which makes 22 in decimal.
Conversion Result
16 hex equals 22 in decimal.
Conversion Tool
Result in decimal:
Conversion Formula
The formula to convert a hexadecimal number to decimal involves multiplying each digit by 16 raised to the position power, starting from zero on the right. For example, for hex 16:
- Digits: 1 and 6
- Positions: 16’s place (position 1), 1’s place (position 0)
- Calculation: (1 * 16^1) + (6 * 16^0) = 16 + 6 = 22
This works because each position in a base-16 number corresponds to powers of 16, similar to decimal’s powers of 10. The process sums the products of each digit with its positional value to give the decimal equivalent.
Conversion Example
- Hex: 2A
- Steps:
- – Digits are 2 and A (which is 10 in decimal)
- – Positions: 16’s place (position 1), 1’s place (position 0)
- – Calculation: (2 * 16^1) + (10 * 16^0) = 32 + 10 = 42
- Result: 2A hex equals 42 decimal.
Conversion Chart
This chart shows the decimal equivalents of hex values from -9.0 to 41.0:
| Hex | Decimal |
|---|---|
| -9.0 | -9 |
| -8.0 | -8 |
| -7.0 | -7 |
| -6.0 | -6 |
| -5.0 | -5 |
| -4.0 | -4 |
| -3.0 | -3 |
| -2.0 | -2 |
| -1.0 | -1 |
| 0.0 | 0 |
| 1.0 | 1 |
| 2.0 | 2 |
| 3.0 | 3 |
| 4.0 | 4 |
| 5.0 | 5 |
| 6.0 | 6 |
| 7.0 | 7 |
| 8.0 | 8 |
| 9.0 | 9 |
| A.0 | 10 |
| B.0 | 11 |
| C.0 | 12 |
| D.0 | 13 |
| E.0 | 14 |
| F.0 | 15 |
| 10.0 | 16 |
| 11.0 | 17 |
| 12.0 | 18 |
| 13.0 | 19 |
| 14.0 | 20 |
| 15.0 | 21 |
| 16.0 | 22 |
| 17.0 | 23 |
| 18.0 | 24 |
| 19.0 | 25 |
| 1A.0 | 26 |
| 1B.0 | 27 |
| 1C.0 | 28 |
| 1D.0 | 29 |
| 1E.0 | 30 |
| 1F.0 | 31 |
| 20.0 | 32 |
| 21.0 | 33 |
| 22.0 | 34 |
| 23.0 | 35 |
| 24.0 | 36 |
| 25.0 | 37 |
| 26.0 | 38 |
| 27.0 | 39 |
| 28.0 | 40 |
| 29.0 | 41 |
Use this chart to quickly find the decimal equivalent of hex values in the specified range.
Related Conversion Questions
- How do I convert hexadecimal 16 to binary?
- What is the decimal value of hex 16 plus hex A?
- Can I convert hex 16 to octal directly?
- What is the decimal equivalent of hex 16 in a different numeral system?
- How do I convert hexadecimal 16 to binary manually?
- What is the difference between hex 16 and decimal 22?
- How do I convert hex 16 to hexadecimal with lowercase letters?
Conversion Definitions
Hex
Hexadecimal, or hex, is a base-16 number system using digits 0-9 and letters A-F to represent values from 0 to 15, often used in computing for concise memory addresses and color codes, providing a compact way to express binary data.
Decimal
Decimal is a base-10 number system using digits 0-9, the most common numeral system for everyday counting and calculations, where each position signifies a power of 10, making it intuitive for human understanding and arithmetic operations.
Conversion FAQs
How do I convert hexadecimal 16 to binary?
To convert hex 16 to binary, change each hex digit to its 4-bit binary equivalent: 1 is 0001, 6 is 0110, so hex 16 becomes 0001 0110, or 0b00010110, which is 22 in decimal.
Why is parseInt with base 16 used in the JavaScript tool?
Using parseInt with base 16 tells JavaScript to interpret the input string as a hexadecimal number, converting it directly to its decimal counterpart. This method is reliable for converting hex strings to decimal numbers correctly.
Can I convert hexadecimal 16 to octal directly without intermediate steps?
Not directly. Hexadecimal to octal conversion typically involves first converting hex to decimal, then decimal to octal. Direct conversion isn’t straightforward because the bases are different; intermediate conversion ensures accuracy.
What are common mistakes when converting hex to decimal manually?
Common errors include misreading digits, miscalculating powers of 16, or confusing hexadecimal letters with decimal numbers. Double-checking each digit’s value and positional powers helps avoid mistakes.