Convert Decimal Numbers to Binary

Converting Decimal Numbers to Binary

Decimal to Binary: Decimal numbers can be converted to binary by dividing the decimal number by 2 repeatedly until the quotient is 0. The remainders are then written in reverse order to get the binary equivalent. For example, let's convert the decimal numbers 34.657 and 25.75 to binary:

Decimal Number: 34.657

To convert 34.657 to binary, we can follow these steps: Step 1: Divide 34 by 2. Quotient is 17 and remainder is 0. Step 2: Divide 17 by 2. Quotient is 8 and remainder is 1. Step 3: Divide 8 by 2. Quotient is 4 and remainder is 0. Step 4: Divide 4 by 2. Quotient is 2 and remainder is 0. Step 5: Divide 2 by 2. Quotient is 1 and remainder is 0. Step 6: Divide 1 by 2. Quotient is 0 and remainder is 1. Reading the remainders in reverse order gives the binary equivalent of 34, which is 100010.1010100000110001001 base two.

Decimal Number: 25.75

To convert 25.75 to binary, we can follow the same steps mentioned above: Step 1: Divide 25 by 2. Quotient is 12 and remainder is 1. Step 2: Divide 12 by 2. Quotient is 6 and remainder is 0. Step 3: Divide 6 by 2. Quotient is 3 and remainder is 0. Step 4: Divide 3 by 2. Quotient is 1 and remainder is 1. Step 5: Divide 1 by 2. Quotient is 0 and remainder is 1. Reading the remainders in reverse order gives the binary equivalent of 25.75, which is 11001.11 base two. In conclusion, converting decimal numbers to binary involves dividing the decimal number by 2 and writing the remainders in reverse order to get the binary equivalent.

How can decimal numbers be converted to binary?

Decimal numbers can be converted to binary by dividing the decimal number by 2 repeatedly until the quotient is 0. The remainders are then written in reverse order to get the binary equivalent.

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