Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s). What is the hexadecimal equivalent of the decimal number 125.28? The hexadecimal equivalent of the decimal number 125.28 is

125.28₁₀ in hexadecimal = 7D.47AE147AE1₁₆

Step-by-Step Explanation:

To convert decimal number 125.28, we convert its integer and fraction part individually and then add them to get the equivalent hexadecimal number, as below:

To convert integer 125 to hexadecimal, follow these steps:

Divide 125 by 16 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 hexadecimal number.

125 / 16 = 7 with remainder 13 (D)

7 / 16 = 0 with remainder 7

Here is the answer to 125 decimal to hexadecimal number:

7D

For converting decimal fraction 0.28 to hexadecimal number, follow these steps:

Multiply 0.28 by 16 keeping notice of the resulting integer and fractional part. Continue multiplying by 16 until you get a resulting fractional part equal to zero (we calcuclate upto ten digits).

Then just write out the integer parts from the results of each multiplication to get equivalent hexadecimal number.

0.28 × 16 = 4 + 0.48

0.48 × 16 = 7 + 0.68000000000001

0.68000000000001 × 16 = 10 (A) + 0.88000000000011

0.88000000000011 × 16 = 14 (E) + 0.080000000001746

0.080000000001746 × 16 = 1 + 0.28000000002794

0.28000000002794 × 16 = 4 + 0.48000000044703

0.48000000044703 × 16 = 7 + 0.68000000715256

0.68000000715256 × 16 = 10 (A) + 0.88000011444092

0.88000011444092 × 16 = 14 (E) + 0.080001831054688

0.080001831054688 × 16 = 1 + 0.280029296875

Here is the answer to 0.28 decimal to hexadecimal number:

0.47AE147AE1

Therefore, decimal number 125.28 converted to hexadecimal is equal:

7D.47AE147AE1

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