Question

Convert 3BA.25 (base 14) to base 6 ? Show all arithmetic in decimal

Answer 1

`(3252.1001)_(6)`

Step-by-step explanation:

• To convert the base 14 to base 10 :

`(3BA.25)_(14)`=
`3*14^(2)` +
`B*14^(2)` +
`A*14^(0)` +
`2*14^(-1)` +
`5*14^(-1)`

Then, =
`588+154+10+(2)/(14^(1)) + (5)/(14^(2))`

Then, =
`752 + 0.168`

=
`(752.168)_(10)`

• To convert base-10, [text](752.168)_{10}[/text] to base 6.

6 | 752 | 2

6 | 125 | 2

6 | 20 | 2

6 | 3 | 3

| 0 |

Then, the conversion part 752 which has base-6 = 3252

• Then, the conversation of the decimal part .168 to base 6

`0.168*6=1.008` and the integer part is 1.

`0.008*6=0.048` and the integer part is 0.

`0.048*6=0.288` and the integer part is 0.

`0.288*6=1.728` and the integer part is 1.

Then, the conversion of decimal part is
`(0.1001)_(6)`

Finally, the answer is
`(3252.1001)_(6)`