Understanding Base-12 to Base-10 Conversion

The video tutorial explains how to convert a number from a base-12 numerical system to a base-10 system. It begins by introducing the symbols used in base-12 and their equivalent base-10 values. The tutorial then details the process of determining place values in base-12, working from right to left, and converting each symbol to its base-10 equivalent. The conversion is demonstrated step-by-step, resulting in a final base-10 value of 777. The video concludes with a summary of the conversion process.

What is the range of digits used in a base-12 numerical system?

• 0 to 9

• 0 to 11

• 1 to 12

• 1 to 10

In a base-12 system, what is the place value of the rightmost digit?

• 12 to the 3rd power

• 12 to the 2nd power

• 12 to the 0 power

• 12 to the 1st power

What is the place value of the second digit from the right in a base-12 number?

• 12 to the 3rd power

• 12 to the 2nd power

• 12 to the 1st power

• 12 to the 0 power

If a symbol in base-12 represents 5 in base-10, how many 144s does it contribute?

• 20

• 15

• 5

• 10

What base-10 value does the symbol representing 4 in base-12 contribute when in the 12s place?

• 48

• 8

• 4

• 16

How many ones does the symbol representing 9 in base-12 contribute in base-10?

• 36

• 27

• 18

• 9

What is the final base-10 equivalent of the base-12 number discussed?

• 765

• 777

• 789

• 799