Number Bases Exploration

Number Bases Exploration

Read each question carefully and provide your answers in the space provided. Show all your work for conversion and calculations.

1. The base-10 number system is also known as the   system.

2. In base 5, the digits used are  .

3. To convert a number from a different base to base 10, we use   notation.

1. Which of the following is the correct representation of the decimal number 13 in binary (base 2)?

2. What is the decimal equivalent of the number 23₄?

1. Convert the decimal number 25 to base 3. Show your work.

2. Convert the number 1A₁₆ (hexadecimal) to its decimal equivalent. Show your work.

1. The number 7 in base 8 is written as 7₈.

2. In base 16 (hexadecimal), the digit 'F' represents the decimal value 15.

1. A computer stores data in binary. If a certain memory location holds the binary number 10110₂, what is its decimal value? Explain how you found your answer.