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).
How-to: What is 100010 binary in decimal?
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
