find the binary expansion of 23. ex: 10101

Answer:

10111

Explanation:

Step1: Divide by 2 and get remainders

$23\div2 = 11\ remainder\ 1$

Step2: Divide the quotient by 2

$11\div2 = 5\ remainder\ 1$

Step3: Divide the new - quotient by 2

$5\div2 = 2\ remainder\ 1$

Step4: Divide the new - quotient by 2

$2\div2 = 1\ remainder\ 0$

Step5: Divide the new - quotient by 2

$1\div2 = 0\ remainder\ 1$

Step6: Read remainders from bottom - to - top

The binary expansion is 10111.