Correct Answer - Option 4 : 110
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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 = (1101110)2
Calculation:
(1101110)2 = (1 × 26 + 1 × 25 + 0 × 24 + 1 × 23 + 1 × 22 + 1 × 21 + 0 × 20)10
⇒ (64 + 32 + 8 + 4 + 2)10
⇒ (110)10
So, the decimal equivalent of the binary number (1101110)2 is (110)10.
∴ The number at the place of the question mark will be 110.
