Hexadecimal to decimal conversion is the process of converting a hexadecimal (base 16) number into its decimal (base 10) equivalent. In hexadecimal, the digits range from 0 to 9 and A to F (where A = 10, B = 11, C = 12, D = 13, E = 14, F = 15).
Steps to Convert Hexadecimal to Decimal:
Write down the hexadecimal number.
Start from the rightmost digit (the least significant digit). Each digit represents a power of 16, starting with
16
0
16
0
.
Multiply each digit by the corresponding power of 16.
Add up the results to get the decimal equivalent.
Example:
Convert hexadecimal 1A3 to decimal:
Write down the hexadecimal number: 1A3
Start from the rightmost digit:
The rightmost digit is 3. It is in the
16
0
16
0
place.
The next digit is A (which is 10 in decimal). It is in the
16
1
16
1
place.
The next digit is 1. It is in the
16
2
16
2
place.
Multiply each digit by the corresponding power of 16:
3
×
16
0
=
3
×
1
=
3
3×16
0
=3×1=3
𝐴
×
16
1
=
10
×
16
=
160
A×16
1
=10×16=160
1
×
16
2
=
1
×
256
=
256
1×16
2
=1×256=256
Add the results:
3
+
160
+
256
=
419
3+160+256=419
So, 1A3 in hexadecimal is 419 in decimal.