Sure! Let's solve the problem step-by-step. We're given the expression [tex]\(3728 \lfloor 2\)[/tex], which we need to evaluate.
1. Understanding Floor Division: The floor division operation between two numbers results in the largest integer that is less than or equal to the division result. This is often represented as [tex]\( \left\lfloor \frac{a}{b} \right\rfloor \)[/tex] in mathematical terms.
2. Applying Floor Division: We need to divide 3728 by 2 and then take the floor value of the result. In this case, however, because 3728 is perfectly divisible by 2, the floor value will simply be the division result.
3. Perform the Division:
[tex]\[
\frac{3728}{2} = 1864
\][/tex]
4. Final Result: Since 3728 divided by 2 is 1864, which is an integer, the floor value is 1864.
So, the detailed solution is:
[tex]\[ 3728 \lfloor 2 = 1864 \][/tex]
Thus, the result is [tex]\(1864\)[/tex].
