Base 16 to Base 10 Calculator

Enter value in base 16:

Easily convert from Base 16 to Base 10 using our free Base 16 to Base 10 calculator.

How to Convert Base 16 to Base 10

To convert from base 16 to base 10, we use a positional value system. Each digit is multiplied by a power of 16, determined by its position from right to left, starting with 16⁰. The formula is:

(digit₁ × 16⁰) + (digit₂ × 16¹) + (digit₃ × 16²) + … + (digitₙ × 16ⁿ⁻¹)

Base 16 to Base 10 Conversion Examples

Converting “2F” from Base 16 to Base 10

F (position 0) = 15 × 16⁰ = 15 × 1 = 15
2 (position 1) = 2 × 16¹ = 2 × 16 = 32
Total: 32 + 15 = 47 (decimal)

Converting “1A5” from Base 16 to Base 10

5 (position 0) = 5 × 16⁰ = 5 × 1 = 5
A (position 1) = 10 × 16¹ = 10 × 16 = 160
1 (position 2) = 1 × 16² = 1 × 256 = 256
Total: 256 + 160 + 5 = 421 (decimal)

Base 16 to Base 10 Conversion Table

Hex	Decimal	Hex	Decimal	Hex	Decimal	Hex	Decimal
0	0	10	16	20	32	30	48
1	1	11	17	21	33	31	49
2	2	12	18	22	34	32	50
3	3	13	19	23	35	33	51
4	4	14	20	24	36	34	52
5	5	15	21	25	37	35	53
6	6	16	22	26	38	36	54
7	7	17	23	27	39	37	55
8	8	18	24	28	40	38	56
9	9	19	25	29	41	39	57
A	10	1A	26	2A	42	3A	58
B	11	1B	27	2B	43	3B	59
C	12	1C	28	2C	44	3C	60
D	13	1D	29	2D	45	3D	61
E	14	1E	30	2E	46	3E	62
F	15	1F	31	2F	47	3F

Why Use a Base 16 to Base 10 Calculator?

While manual conversion is possible, using a Base 16 to Base 10 calculator offers several advantages:

Useful for programming and debugging tasks
Eliminates human error in calculations
Saves time when working with large numbers
Provides instant results for complex conversions

Conclusion

Converting from Base 16 to Base 10 is an essential skill in programming, computer science, and digital electronics. By understanding the conversion formula and using practical examples, you can easily translate hexadecimal numbers into decimal.

For quick and accurate results, leverage our reliable Base 16 to Base 10 Calculator to perform conversions effortlessly.