We are asked to convert the number $23$ from base ten to base two.

1. Problem Description

We are asked to convert the number $23$ from base ten to base two.

2. Solution Steps

To convert a number from base ten to base two, we repeatedly divide the number by 2 and keep track of the remainders. The remainders, read in reverse order, give the base two representation of the number.

$23 \div 2 = 11$ remainder $1$

$11 \div 2 = 5$ remainder $1$

$5 \div 2 = 2$ remainder $1$

$2 \div 2 = 1$ remainder $0$

$1 \div 2 = 0$ remainder $1$

Reading the remainders from bottom to top, we get $10111$.

3. Final Answer

$23_{10} = 10111_2$