If (159.75)10 = (x)6. Find x

A.

x6 = 123.346

B.

x6 = 424.56

C.

x6 = 122.436

D.

x6 = 124.456

Correct answer is B

(159.75)10 = (y)6

\( \begin{array}{c|c}
6 & 159 \\
\hline
6 & 26 \text{ rem 3} \\
6 & 4 \text{ rem 2} \\
& 0 \text{ rem 4} \\
\end{array}\uparrow \)

15910 = 4236

Then Convert 0.75 to base 6

0.75 x 6 =4.5 i.e 4.5 - 3.00 = 1.5
0.5 x 6 = 3.00 423 + 1.5 =424.5

159.75 = (424.5)6

(159)10 = (424.5)6