Question

decimal number 123.45 into binary equivalent​

Answer 1

Answer:

Converting 123.45 of Octal to Binary number system

Have translated: 123.45 of Octal numeration system to Binary number system.

answer is 1010011.100101

Explanation:

Hope it's helpful

Answer 2

1111011.0111001100

Explanation:

To convert decimal number 123.45, we convert its integer and fraction part individually and then add them to get the equivalent binary number, as below:

To convert integer 123 to binary, follow these steps:

Step 1: Divide 123 by 2 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero.

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

123 / 2 = 61 with remainder 1

61 / 2 = 30 with remainder 1

30 / 2 = 15 with remainder 0

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 123 decimal to binary number:

1111011

For converting decimal fraction 0.45 to binary number, follow these steps:

Step 1: Multiply 0.45 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.)

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

0.45 × 2 = 0 + 0.9

0.9 × 2 = 1 + 0.8

0.8 × 2 = 1 + 0.6

0.6 × 2 = 1 + 0.2

0.2 × 2 = 0 + 0.4

0.4 × 2 = 0 + 0.8

0.8 × 2 = 1 + 0.6

0.6 × 2 = 1 + 0.2

0.2 × 2 = 0 + 0.40000000000001

0.40000000000001 × 2 = 0 + 0.80000000000001

Here is the answer to 0.45 decimal to binary number:

0.0111001100

Therefore, decimal number 123.45 converted to binary is equal:

1111011.0111001100