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What will be the decimal equivalent for binary number 110110?

What will be the decimal equivalent for binary number 110110? Correct Answer 54

Key Points
  • A number with base 2  is known as a Binary Number, and numbers with base 10 are known as Decimal Numbers in the Number System.
  • The decimal numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and so on.
  • Binary numbers, on the other hand, are used in digital systems and are represented by just two digits – 0 and 1.

Binary to Decimal Conversion:

Given:

Given binary number = (110110)2

Calculation:

(110110)2 = (1 × 25 + 1 × 24 + 0 × 23 + 1 × 22 + 1 × 21 + 0 × 20)10

⇒ (32 + 16 + 4 + 2)10

⇒ (54)10

So, the decimal equivalent of the binary number (110110)2 is (54)10.

∴ The number at the place of the question mark will be 54.

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