1101 binary to decimal conversion provides the detailed information on what is binary (1101)2 in decimal number system, and the step-by-step work for how to convert the binary (base-2) number 1101 to its decimal (base-10) equivalent.
(1101)2 binary in decimal is equal to:
11012 = (1 x 23) + (1 x 22) + (0 x 21) + (1 x 20)
= 8 + 4 + 0 + 1,
= 13
11012 = 1310
Hence,
1101 binary to decimal is 13.
where,
11012 is the given binary number,
2 in 11012 represents the base-2 or binary number system,
13 is the decimal equivalent of the binary number 1101,
10 in 1310 represents the base-10 or decimal number system.
Steps to convert 1101 binary to decimal
The below step-by-step solution shows how to convert 111101 binary (base 2) to its equivalent decimal (base 10) number.
step 1 Observe the input parameters, values and what to be found.
Input values:
Binary Number = 11012
What to be found:
(1101)2 = (?)10
What is 1101 binary in decimal?
step 2 Arrange the given binary number 1101 as like the below:
= (1 x 23) + (1 x 22) + (0 x 21) + (1 x 20),
step 3 Resolve the powers of 2 in the above equation:
= 8 + 4 + 0 + 1,
step 3 Simplify the above equation further:
= 8 + 4 + 0 + 1,
= 13
(1101)2 = (13)10
Therefore,
the decimal equivalent of the binary number 1101 is 13
Important Notes: (1101)2 in Decimal
The below are some of the important notes to be remembered while converting the binary number 1101 into a base-10 number.
The sum of increasing power of 2 (from 0 to number of bits minus 1) for each bit of given binary number 1101, that is 20 multiplied with least significant digit (LSD) to 2(no. of bits - 1) multiplied with the most significant digit (MSD) of the given base-2 number provides the equivalent decimal number.