Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 26, 2023

Convert decimal number $634_{10}$ to its octal representation.

STEP 1

Question: What is the base of the octal number system?
A) 2 B) 8 C) 10 D) 16
Answer: B) 8

STEP 2

Question: What is the quotient and remainder when $634_{10}$ is divided by 8?
A) Quotient = 8, Remainder = 2 B) Quotient = 79, Remainder = 2 C) Quotient = 79, Remainder = 8 D) Quotient = 2, Remainder = 79
Answer: B) Quotient = 79, Remainder = 2

STEP 3

Question: What is the quotient and remainder when the previous quotient (79) is divided by 8?
A) Quotient = 79, Remainder = 8 B) Quotient = 9, Remainder = 7 C) Quotient = 8, Remainder = 9 D) Quotient = 7, Remainder = 9
Answer: B) Quotient = 9, Remainder = 7

STEP 4

Question: What is the quotient and remainder when the previous quotient (9) is divided by 8?
A) Quotient = 1, Remainder = 1 B) Quotient = 0, Remainder = 9 C) Quotient = 9, Remainder = 0 D) Quotient = 2, Remainder = 7
Answer: A) Quotient = 1, Remainder = 1

STEP 5

Question: What is the octal equivalent of the decimal number $634_{10}$ by reading the remainders in reverse order?
A) $1172_{8}$ B) $2711_{8}$ C) $2117_{8}$ D) $1271_{8}$
Answer: A) $1172_{8}$

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