Binary to decimal conversion is the process of converting a binary (base 2) number into its decimal (base 10) equivalent. In binary, numbers are represented using only 0s and 1s.
Steps to Convert Binary to Decimal:
Write down the binary number.
Start from the rightmost bit (the least significant bit). Each bit represents a power of 2, starting with
2
0
2
0
.
Multiply each bit by the corresponding power of 2.
Add up the results to get the decimal equivalent.
Example:
Convert binary 1011 to decimal:
Start from the rightmost bit:
1011
1011
The rightmost bit is 1. It is in the
2
0
2
0
place.
The next bit is 1. It is in the
2
1
2
1
place.
The next bit is 0. It is in the
2
2
2
2
place.
The next bit is 1. It is in the
2
3
2
3
place.
Multiply each bit by the corresponding power of 2:
1
×
2
3
=
8
1×2
3
=8
0
×
2
2
=
0
0×2
2
=0
1
×
2
1
=
2
1×2
1
=2
1
×
2
0
=
1
1×2
0
=1
Add the results:
8
+
0
+
2
+
1
=
11
8+0+2+1=11
So, binary 1011 is 11 in decimal.