Convert 100010 Binary to Decimal

100010 binary to decimal conversion provides the detailed information on what is the value of (100010)2 in decimal number system, and the step-by-step work for how to convert the binary (base-2) number 100010 to its decimal (base-10) equivalent manually.

(100010)₂ binary in decimal is equal to:
100010₂ = 1 x 2⁵ + 0 x 2⁴ + 0 x 2³ + 0 x 2² + 1 x 2¹ + 0 x 2⁰
= 32 + 0 + 0 + 0 + 2 + 0,
= 34
100010₂ = 34₁₀

Hence,
the decimal equivalent of the binary number (100010)2 is 34.

where,
100010₂ is the given binary number,
2 in 100010₂ represents the base-2 or binary number system,
34 is the decimal equivalent of the binary number 100010,
10 in 34₁₀ represents the base-10 or decimal number system.

Important Notes: (100010)2 in Decimal
The below are some of the important notes to be remembered while converting the binary number 100010 into a base-10 number.

The right most digit in the given base-2 number 100010 is a Least Significant Bit (LSB).
The left most digit in the given base-2 number 100010 is a Most Significant Bit (MSB).
The LSB of 100010 should be multiplied with 2⁰.
The MSB of 100010 should be multiplied with 2^{(no. of bits - 1)}.

For binary values other than 100010, use this below tool:

How-to: What is 100010 binary in decimal?

The below step-by-step solution shows how to convert 100010 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 100010, 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 100010?
step 1 Observe the input parameters, values and what to be found.

Input values:
Binary Number = 100010₂

What to be found:
What is 100010 binary in decimal?

step 2 Arrange the given binary number 100010 as like the below:
= 1 x 2⁵ + 0 x 2⁴ + 0 x 2³ + 0 x 2² + 1 x 2¹ + 0 x 2⁰,

step 3 Resolve the powers of 2 in the above equation:
= 32 + 0 + 0 + 0 + 2 + 0,

step 3 Simplify the above equation further:
= 32 + 0 + 0 + 0 + 2 + 0,
= 32 + 0 + 0 + 0 + 2 + 0,
= 34
(100010)₂ = (34)₁₀

Therefore,
34 is the decimal equivalent of binary number 100010