Remainders and Octal Conversions

This video tutorial explains how to convert decimal numbers into octal numbers. It provides multiple examples, including the conversion of 394, 784, 64, and 468, demonstrating both calculator-assisted and manual methods. The process involves dividing the decimal number by 8, recording the remainders, and reading the result from the bottom to the top. The tutorial emphasizes understanding the conversion process, which is essential for solving problems without a calculator.

What is the first step in converting a decimal number to an octal number?

• Multiply the number by 8

• Divide the number by 8

• Subtract 8 from the number

• Add 8 to the number

When converting 394 to octal, what is the remainder after dividing 394 by 8?

• 4

• 3

• 1

• 2

In the conversion of 784 to octal, what is the octal equivalent?

• 1789

• 1234

• 1560

• 1420

What is the remainder when 64 is divided by 8 in the conversion process?

• 1

• 3

• 0

• 2

How many times does 8 go into 62 when converting it to octal without a calculator?

• 8 times

• 7 times

• 9 times

• 6 times

What is the remainder when 62 is divided by 8 using long division?

• 6

• 5

• 7

• 4

In the conversion of 468 to octal, what is the first remainder obtained?

• 2

• 4

• 3

• 5

What is the octal equivalent of the decimal number 468?

• 724

• 736

• 754

• 742

What is the final step in reading the octal number from the remainders?

• Read from left to right

• Read from right to left

• Read from top to bottom

• Read from bottom to top

Why might you need to convert decimal to octal without a calculator?

• To avoid errors

• To save time

• To improve mental math skills

• For a test without calculator access