Binary Numbers Worksheet
A Grade 12 Math worksheet focusing on binary number systems, conversion, and operations.
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Standards
Topics
Binary Numbers: Grade 12 Math
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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?
11000₂
10000₂
10100₂
10010₂
2. Which of the following is equivalent to the decimal number 23?
11011₂
10111₂
10101₂
11100₂
1. Perform the binary subtraction: 11010₂ - 1011₂
2. Multiply the binary numbers: 101₂ × 11₂
1. The binary number 1000₂ represents the decimal number 8.
True
False
2. In binary addition, 1 + 1 always results in 10₂.
True
False
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