Binary Numbers Worksheet

Binary Numbers: Grade 12 Math

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

1. The binary number system uses base  , with digits   and  .

2. To convert a binary number to a decimal number, you multiply each digit by a power of  .

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

1. Convert the binary number 110101₂ to its decimal equivalent.

2. What is the decimal value of the binary number 100111₂?

1. Convert the decimal number 75 to its binary equivalent.

2. Express the decimal number 128 as a binary number.

1. What is the result of adding 1011₂ and 1101₂?

2. Which of the following is equivalent to the decimal number 23?

1. Perform the binary subtraction: 11010₂ - 1011₂

2. Multiply the binary numbers: 101₂ × 11₂

1. The binary number 1000₂ represents the decimal number 8.

2. In binary addition, 1 + 1 always results in 10₂.