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: Option B
Explanation
(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
There is an explanation video available below.