Convert Binary to Decimal Manually by Your Self

Example we have binary n digit, the formula to convert to decimal is:

digit to-1 x 2^n-1 + digit to-2 x 2^n-2 + digit to-3 x 2^n-3 + ... + digit to-(n-3) x 2² + digit to-(n-1) x 2¹ + digit to-n x 2⁰

Example:

Convert binary 111001 to decimal
Binary 111001 consist of 6 digits, its decimal is:
digit to-1 x 2^n-1 + digit to-2 x 2^n-2 + digit to-3 x 2^n-3 + digit to-(n-3) x 2² + digit to-(n-1) x 2¹ + digit to-n x 2⁰
= 1 x 2⁵ + 1 x 2⁴ + 1 x 2³ + 0 x 2² + 0 x 2¹ +1 x 2⁰
= 1x32 + 1x16 + 1x8 + 0x4 + 0x2 + 1x1
= 32 + 16 + 8 + 0 + 0 + 1
= 57

So if binary 111001 is converted to decimal is 57

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