If 54\(_{ten}\) = X\(_{four}\), find the value of X to 3 decimal point
A
132\(_{four}\)
B
312\(_{four}\)
C
123\(_{four}\)
D
321\(_{four}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
To convert \(54_{10}\) to base 4:
\(54 \div 4 = 13\) with remainder \(2\).
\(13 \div 4 = 3\) with remainder \(1\).
\(3 \div 4 = 0\) with remainder \(3\).
Collecting the remainders from bottom to top, we have:
\(54_{10} = 312_4\)
Thus, \(X = 312.000\).
Source: Myschool Past Questions Archive (Record #74190)