Binary Coding Basics

Binary Coding Basics

Read each question carefully and provide your answer in the space provided. Show your work for conversion problems.

1. The binary number system uses only two digits:   and  . This is called base- .

2. The decimal number system, which we use every day, is called base- .

3. In binary, each position represents a power of  , starting from the rightmost digit as 2^0.

4. What is the decimal equivalent of the binary number 101?

5. Convert the binary number 1101 to its decimal equivalent.

6. Convert the decimal number 9 to its binary equivalent. Show your steps.

7. Convert the decimal number 25 to its binary equivalent. Show your steps.

8. The binary number 1000 is equal to the decimal number 8.

9. A 'bit' is a single binary digit (0 or 1).

10. Explain why computers use binary code instead of decimal code.