# Convert 1101 Binary to Decimal

1101 binary to decimal conversion provides the detailed information on what is the value of (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 manually.

__(1101) _{2} binary in decimal is equal to:__

1101

_{2}= 1 x 2

^{3}+ 1 x 2

^{2}+ 0 x 2

^{1}+ 1 x 2

^{0}

= 8 + 4 + 0 + 1,

= 13

1101

_{2}= 13

_{10}

Hence,

the decimal equivalent of the binary number (1101)2 is 13.

__where,__

1101

_{2}is the given binary number,

2 in 1101

_{2}represents the base-2 or binary number system,

13 is the decimal equivalent of the binary number 1101,

10 in 13

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

__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 right most digit in the given base-2 number 1101 is a Least Significant Bit (LSB).
- The left most digit in the given base-2 number 1101 is a Most Significant Bit (MSB).
- The LSB of 1101 should be multiplied with 2
^{0}. - The MSB of 1101 should be multiplied with 2
^{(no. of bits - 1)}.

## How-to: What is 1101 binary in decimal?

^{0}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.

__What is the decimal equivalent of the binary number 1101?__

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

Input values:

Binary Number = 1101

_{2}

What to be found:

What is 1101 binary in decimal?

step 2 Arrange the given binary number 1101 as like the below:

= 1 x 2

^{3}+ 1 x 2

^{2}+ 0 x 2

^{1}+ 1 x 2

^{0},

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,

= 8 + 4 + 0 + 1,

= 13

(1101)

_{2}= (13)

_{10}

Therefore,

13 is the decimal equivalent of binary number 1101