Question on: JAMB Mathematics - 2015
If (159.75)10 = (y)6. Find x
A
x6 = 123.346
B
x6 = 424.56
C
x6 = 122.436
D
x6 = 124.456
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Correct Option: 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
\( \begin{array}{c|c}
6 & 159 \\ \hline
6 & 26 \text{ rem 3} \\ 6 & 4 \text{ rem 2} \\ & 0 \text{ rem 4} \\ \end{array}\uparrow \)
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
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