Convert 1100 Binary to Decimal

1100 binary to decimal conversion provides the detailed information on what is the value of (1100)2 in decimal number system, and the step-by-step work for how to convert the binary (base-2) number 1100 to its decimal (base-10) equivalent manually.

(1100)₂ binary in decimal is equal to:
1100₂ = 1 x 2³ + 1 x 2² + 0 x 2¹ + 0 x 2⁰
= 8 + 4 + 0 + 0,
= 12
1100₂ = 12₁₀

Hence,
the decimal equivalent of the binary number (1100)2 is 12.

where,
1100₂ is the given binary number,
2 in 1100₂ represents the base-2 or binary number system,
12 is the decimal equivalent of the binary number 1100,
10 in 12₁₀ represents the base-10 or decimal number system.

Important Notes: (1100)2 in Decimal
The below are some of the important notes to be remembered while converting the binary number 1100 into a base-10 number.

1. The right most digit in the given base-2 number 1100 is a Least Significant Bit (LSB).
2. The left most digit in the given base-2 number 1100 is a Most Significant Bit (MSB).
3. The LSB of 1100 should be multiplied with 2⁰.
4. The MSB of 1100 should be multiplied with 2^{(no. of bits - 1)}.
For binary values other than 1100, use this below tool:

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