# The binary equivalent of decimal number 4.625 is

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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

• 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