# Hexadecimal (2D)16 to Decimal

(2D)16 = (?)10. 2D hex to decimal conversion provides the detailed information on what is the decimal equivalent of the hexadecimal 2D and the step-by-step work for how to convert the hexadecimal number (2D)16 to decimal equivalent manually.

__(2D) _{16} in decimal is equal to:__

2D

_{16}= 45

_{10}

0x2D = 45

_{10}

Hence,

the hexadecimal number (2D)16 is equal to decimal number (45)10.

__where,__

2D

_{16}is the given hex number,

16 in 2D

_{16}represents the base-16 or hexadecimal number system,

45

_{10}is the decimal equivalent of hex 2D,

10 in 45

_{10}represents the base-10 or decimal number system.

__Important Notes: (2D)16 in Decimal__

The below are some of the important notes to be remembered while converting the (base-16) hexadecimal number (2D)16 into a (base-10) decimal equivalent.

- Each digit of given hex number 2D should be replaced by the equivalent decimal number before multiplying with 16 power values, but this conversion is not the actual decimal equivalent of (2D)16.
- The decimal equivalent of right most number D in hex 2D should be multiplied with 16
^{0} - The decimal equivalent of left most number 2 in hex 2D should be multiplied with 16
^{(no. of digits in hex - 1)}.

## How-to: What is (2D)16 in decimal?

The below step-by-step solution shows how to convert the hexadecimal number (2D)16 to decimal. To find the decimal equivalent of (2D)16, replace each digit of the given hex number by the equivalent decimal number, so (2D)16 becomes 2 13.
Find the product of 16^{0} and 13, 16^{1} and 2. The sum of all individual products is the decimal equivalent of hex 2D.

__Solved Example:__

Convert the hexadecimal number (2d)16 to decimal equivalent.

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

__Input values:__

Hexadecimal Number = (2D)

_{16}

__What to be found:__

What is the decimal equivalent of hexadecimal (2d)16?

(2D)16 = (?)10

step 2 Replace each digit of the given hex number (2D)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 2D,

The decimal equivalent of hex 2 is 2

The decimal equivalent of hex D is 13

So, the (2D)16 becomes 2 13

step 3 Multiply 16

^{0}and 13, 16

^{1}and 2 and find the sum of all individual products produce the actual decimal equivalent of hex (2D)16.

= (2 x 16

^{1}) + (13 x 16

^{0})

step 4 Resolve the powers of 16 in the above equation and simplify further:

= (2 x 16) + (13 x 1)

= 32 + 13

= 45

**2D**

_{16}= 45_{10}Hence,

the decimal equivalent of hexadecimal number (2D)16 is (45)10