Converting Decimal Number to Binary

Question:

What is the binary representation of the decimal number 59?

Answer:

To convert the decimal number 59 to binary, you perform a series of divisions by 2 and arrange the remainders in reverse order. The binary equivalent of 59 is 111011.

Explanation:

Decimal to Binary Conversion:
To convert a decimal number into binary, you need to repeatedly divide the number by 2 and note the remainders. Begin with the decimal number you want to convert and divide it by 2. Take note of the quotient and the remainder. Continue this process using the quotient from the previous division until the quotient is less than 2.

Example Calculation:
- 59 divided by 2 equals 29 with a remainder of 1.
- 29 divided by 2 equals 14 with a remainder of 1.
- 14 divided by 2 equals 7 with a remainder of 0.
- 7 divided by 2 equals 3 with a remainder of 1.
- 3 divided by 2 equals 1 with a remainder of 1.
- 1 divided by 2 equals 0 with a remainder of 1.

Therefore, arranging these remainders in reverse order gives us the binary equivalent of the decimal number 59, which is 111011.

Binary numbers are base 2 and are used in computing. Understanding how to convert decimal numbers to binary is essential in computer programming and digital electronics. By following the process of dividing by 2 and noting the remainders, you can accurately convert decimal numbers into binary representation.