Binary Numbers Worksheet

Binary Numbers Exploration

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

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

2. In a binary number, each digit represents a power of  .

3. The decimal number 10 is represented as   in binary.

1. What is the decimal equivalent of the binary number 1011?

2. Which of the following is the binary representation of the decimal number 25?

1. Convert the binary number 110101 to its decimal equivalent. Show your work.

2. Convert the decimal number 42 to its binary equivalent. Show your work.

1. Add the binary numbers 1011 and 110. Show your work.

2. Subtract the binary number 101 from 1110. Show your work.