# Hexadecimal (15)16 to Decimal

(15)16 = (?)10. 15 hex to decimal conversion provides the detailed information on what is the decimal equivalent of the hexadecimal 15 and the step-by-step work for how to convert the hexadecimal number (15)16 to decimal equivalent manually.

(15)16 in decimal is equal to:
1516 = 2110
0x15 = 2110
Hence,
the hexadecimal number (15)16 is equal to decimal number (21)10.

where,
1516 is the given hex number,
16 in 1516 represents the base-16 or hexadecimal number system,
2110 is the decimal equivalent of hex 15,
10 in 2110 represents the base-10 or decimal number system.

Important Notes: (15)16 in Decimal
The below are some of the important notes to be remembered while converting the (base-16) hexadecimal number (15)16 into a (base-10) decimal equivalent.

1. Each digit of given hex number 15 should be replaced by the equivalent decimal number before multiplying with 16 power values, but this conversion is not the actual decimal equivalent of (15)16.
2. The decimal equivalent of right most number 5 in hex 15 should be multiplied with 160
3. The decimal equivalent of left most number 1 in hex 15 should be multiplied with 16(no. of digits in hex - 1).
4. For hex values other than 15, use this below tool:

## How-to: What is (15)16 in decimal?

The below step-by-step solution shows how to convert the hexadecimal number (15)16 to decimal. To find the decimal equivalent of (15)16, replace each digit of the given hex number by the equivalent decimal number, so (15)16 becomes 1 5. Find the product of 160 and 5, 161 and 1. The sum of all individual products is the decimal equivalent of hex 15.

Solved Example:
Convert the hexadecimal number (15)16 to decimal equivalent.

step 1 Observe the input parameters, values and what to be found:

Input values:
Hexadecimal Number = (15)16

What to be found:
What is the decimal equivalent of hexadecimal (15)16?
(15)16 = (?)10

step 2 Replace each digit of the given hex number (15)16 by the equivalent decimal number by referring the below hex and decimal number system table.

 Decimal: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Hex: 1 2 3 4 5 6 7 8 9 A B C D E F

From left to right of hex 15,
The decimal equivalent of hex 1 is 1
The decimal equivalent of hex 5 is 5

So, the (15)16 becomes 1 5

step 3 Multiply 160 and 5, 161 and 1 and find the sum of all individual products produce the actual decimal equivalent of hex (15)16.
= (1 x 161) + (5 x 160)

step 4 Resolve the powers of 16 in the above equation and simplify further:
= (1 x 16) + (5 x 1)
= 16 + 5
= 21
1516 = 2110

Hence,
the decimal equivalent of hexadecimal number (15)16 is (21)10