# Convert 1011 Binary to Decimal

1011 binary to decimal conversion provides the detailed information on what is the value of (1011)2 in decimal number system, and the step-by-step work for how to convert the binary (base-2) number 1011 to its decimal (base-10) equivalent manually.

(1011)2 binary in decimal is equal to:
10112 = 1 x 23 + 0 x 22 + 1 x 21 + 1 x 20
= 8 + 0 + 2 + 1,
= 11
10112 = 1110

Hence,
the decimal equivalent of the binary number (1011)2 is 11.

where,
10112 is the given binary number,
2 in 10112 represents the base-2 or binary number system,
11 is the decimal equivalent of the binary number 1011,
10 in 1110 represents the base-10 or decimal number system.

Important Notes: (1011)2 in Decimal
The below are some of the important notes to be remembered while converting the binary number 1011 into a base-10 number.

1. The right most digit in the given base-2 number 1011 is a Least Significant Bit (LSB).
2. The left most digit in the given base-2 number 1011 is a Most Significant Bit (MSB).
3. The LSB of 1011 should be multiplied with 20.
4. The MSB of 1011 should be multiplied with 2(no. of bits - 1).
5. For binary values other than 1011, use this below tool:

## How-to: What is 1011 binary in decimal?

The below step-by-step solution shows how to convert 1011 binary to its equivalent decimal number. The sum of increasing power of 2 (from 0 to number of bits minus 1) for each bit of given binary number 1011, 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. What is the decimal equivalent of the binary number 1011?
step 1 Observe the input parameters, values and what to be found.

Input values:
Binary Number = 10112

What to be found:
What is 1011 binary in decimal?

step 2 Arrange the given binary number 1011 as like the below:
= 1 x 23 + 0 x 22 + 1 x 21 + 1 x 20,

step 3 Resolve the powers of 2 in the above equation:
= 8 + 0 + 2 + 1,

step 3 Simplify the above equation further:
= 8 + 0 + 2 + 1,
= 8 + 0 + 2 + 1,
= 11
(1011)2 = (11)10

Therefore,
11 is the decimal equivalent of binary number 1011 