Octal to Decimal is the process of converting a number from the octal (base 8) number system to the decimal (base 10) number system.
In the octal system, each digit represents a power of 8, and the possible digits are 0 to 7. In the decimal system, each digit represents a power of 10, and the digits range from 0 to 9.
Example:
Let's convert the octal number 1347 to decimal.
Steps:
Write the octal number and assign positions to each digit starting from the right, beginning with position 0.
1 is in position 3 (8³)
3 is in position 2 (8²)
4 is in position 1 (8¹)
7 is in position 0 (8⁰)
Multiply each digit by 8 raised to the power of its position:
1
×
8
3
=
1
×
512
=
512
1×8
3
=1×512=512
3
×
8
2
=
3
×
64
=
192
3×8
2
=3×64=192
4
×
8
1
=
4
×
8
=
32
4×8
1
=4×8=32
7
×
8
0
=
7
×
1
=
7
7×8
0
=7×1=7
Add the results:
512
+
192
+
32
+
7
=
743
512+192+32+7=743
So, the decimal equivalent of the octal number 1347 is 743.