Question

By converting 30 into an equivalent number with base 5​

Answer 1

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Answer 2

Answer:

The equivalent number of 30  with base 5 is 110.

Number Bases:

• The base of a number system is the number of digits that are used to represent the numbers in that number system.
• The decimal number system has a base of 10. So, ten digits, 0 to 9 are used to represent the numbers.
• The binary number system has a base of 2. So, two digits, 0 and 1 are used to represent the numbers.

Step-by-step explanation:

A number system with base 5 will use five digits to represent the numbers. The digits will be 0, 1, 2, 3, and 4. The numbers will be as follows:

• 0 = 0
• 1 = 1
• 2 = 2
• 3 = 3
• 4 = 4
• 5 = 10
• 6 = 11
• 7 = 12
• 8 = 13
• 9 = 14
• 10 = 20

Proceeding in this manner, we get 30 = $(110)_{5}$

Therefore, 30 is equivalent to 110 in a number system with a base 5.

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