Question

what is the decimal equivalent of binary number 110011?​

Answer 1

Answer:

32 + 16 + 0 + 0 + 2 + 1 = 51. This is the decimal equivalent of the binary number 110011.

Explanation:

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Answer 2

The decimal equivalent of binary number (110011)₂ is (51)₁₀

Conversion of Binary to Decimal:

One best approach we can follow to find the decimal equivalent of a binary number is:

From right to left, keep on doing the sum of the product of (1 or 0) x 2ⁿ, where n starts from 0 to n-1, from left to right and n is the length of the binary number.

(110011)₂ = (?)₁₀

(110011)₂ = (1×2⁵) + (1×2⁴) + (0×2³) + (0×2²) + (1×2¹) + (1×2⁰)

             = 2⁵ + 2⁴ + 2¹ + 2⁰

             = 32 + 16 + 2 + 1

             = 51

(110011)₂ = (51)₁₀

Therefore, the decimal equivalent of binary number (110011)₂ is (51)₁₀

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