Question

Express 5613 from base ten to base eight

Answer 1

Answer:

Divide the given number (in base 10) with 8 until the result finally left is less than 8.

Traverse the remainders from bottom to top to get the required number in base 8.

Answer 2

Answer:

(5613)₁₀ = (12755)₈

Step-by-step explanation:

The decimal numbers use 10 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 and octal numbers are only 8 digits 0, 1, 2, 3, 4, 5, 6, and 7.

5613 / 8 = 701 here 5 is the remainder

701 / 8 = 87 here 5 is the remainder

87 / 8 = 10 here 7 is the remainder

10 / 8 = 1 here 2 is the remainder

1 / 8 = 0 here 1 is the remainder

The remainder together in reverse order is the required Octal number, which is 12755.

therefore (5613)₁₀ = (12755)₈

For more information on Binary and Decimal forms click below

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