Answer:
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
