Question

(15.25)₁₀ from decimal to Binary

pls Solve​

Answer 1

Answer:

1111.01

Explanation:

To convert decimal number 15.25, we convert its integer and fraction part individually and then add them to get the equivalent binary number, as below:

To convert integer 15 to binary, follow these steps:

1.) step Divide 15 by 2 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero.

2.) step Then just write out the remainders in the reverse order to get the equivalent binary number.

15 / 2 = 7 with remainder 1

7 / 2 = 3 with remainder 1

3 / 2 = 1 with remainder 1

1 / 2 = 0 with remainder 1

Here is the answer to 15 decimal to binary number:

1111

For converting decimal fraction 0.25 to binary number, follow these steps:

1.) stepMultiply 0.25 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 calcuclate upto ten digits).

2.) step Then just write out the integer parts from the results of each multiplication to get equivalent binary number.

0.25 × 2 = 0 + 0.5

0.5 × 2 = 1 + 0

Here is the answer to 0.25 decimal to binary number:

0.01

Therefore, decimal number 15.25 converted to binary is equal:

1111.01

I hope it helps you