Answer:
(a) 494₁₀ = 111101110₂
(b) 494₁₀ = 13232₄
(c) 494₁₀ = 3434₅
(d) 494₁₀ = 756₈
(e) 494₁₀ = 608₁₀
Explanation:
494₁₀ means the number is to the base 10 and therefore a decimal number which we interpret in everyday terms as just 494
To convert a number from base 10 to another base, say b, we continuously divide by that base, noting the remainder at each operation. Then we read the remainders from the last to the first and that will give you the number in terms of that other base
This is a tedious operation and best done by a base conversion calculator.
I will demonstrate using base 9 as an example
494₁₀ = what in base 9
Keep dividing by 9 until you can divide no more. Keep track of the remainder at each division
operation quotient remainder
494 ÷ 9 54 8
54 ÷ 9 6 0
6 ÷ 9 0 6
Read the remainders from the last to the first: 6 0 8
So 494₁₀ = 608₉
The others can be done in a similar manner
However this is tedious and a computer program is easy to write for this conversion
Search for number base conversion calculator - you will find several online.
I have provided the answers for you to verify