Decimal 17 to Binary Conversion Explained

To find the binary equivalent of a decimal number, we use the method of repeated division by 2. In this process, we repeatedly divide the decimal number by 2 and record the remainder at each step. The process continues until the quotient becomes 0. The binary representation is then obtained by reading the remainders from bottom to top.

Conversion Steps for Decimal Number 17

Determining the Binary Number from Remainders

The remainders obtained from the division steps are 1, 0, 0, 0, and 1.

To get the final binary number, we read these remainders starting from the last one (bottom) up to the first one (top):

10001

Thus, the decimal number 17 is represented as 10001 in binary.