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The binary equivalent of decimal number 4.625 is


1. 100-001
2. 100-110
3. 100-101
4. 100-011

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Correct Answer - Option 3 : 100-101

The correct answer is 100-101.

  • Binary is the simplest kind of number system that uses only two digits of 0 and 1 (i.e. the value of base 2).
  • To convert decimal number 4.625, we convert its integer and fraction parts individually and then add them to get the equivalent binary number, as below:
    • Divide 4 by 2 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero.
    • Then just write out the remainders in the reverse order to get the equivalent binary number.
    • 4 / 2 = 2 with remainder 0
    • 2 / 2 = 1 with remainder 0
    • 1 / 2 = 0 with remainder 1
    • Here is the answer to 4 decimal to binary numbers: 100
    • For converting decimal fraction 0.625 to a binary number, follow these steps:
      • Multiply 0.625 by 2 keeping notice of the resulting integer and fractional part. Continue multiplying by 2 until you get a resulting fractional part equal to zero (we calculate up to ten digits).
      • Then just write out the integer parts from the results of each multiplication to get the equivalent binary number.
      • 0.625 × 2 = 1 + 0.25
      • 0.25 × 2 = 0 + 0.5
      • 0.5 × 2 = 1 + 0
      • Here is the answer to 0.625 decimal to binary number: 0.101
  • Therefore, decimal number 4.625 converted to binary is equal: 100.101

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