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Binary and decimal numbers

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WorksheetWise · Standard · 1097

Binary and decimal numbers

Work through each question. Show your reasoning where space is provided.

Name: ____________________ · Date: ____________

  1. 1. Convert the decimal integer 117 to unsigned binary without leading zeros.

  2. 2. Convert the unsigned binary number 10110 to decimal.

  3. 3. Convert the decimal integer 141 to unsigned binary without leading zeros.

  4. 4. Convert the decimal integer 93 to unsigned binary without leading zeros.

  5. 5. Convert the decimal integer 119 to unsigned binary without leading zeros.

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WorksheetWise · Standard · 1097

Binary and decimal numbers — Answer key

Work through each question. Show your reasoning where space is provided.

  1. 1. Convert the decimal integer 117 to unsigned binary without leading zeros.

    1110101

    64 + 32 + 16 + 4 + 1 = 117

  2. 2. Convert the unsigned binary number 10110 to decimal.

    22

    16 + 4 + 2 = 22

  3. 3. Convert the decimal integer 141 to unsigned binary without leading zeros.

    10001101

    128 + 8 + 4 + 1 = 141

  4. 4. Convert the decimal integer 93 to unsigned binary without leading zeros.

    1011101

    64 + 16 + 8 + 4 + 1 = 93

  5. 5. Convert the decimal integer 119 to unsigned binary without leading zeros.

    1110111

    64 + 32 + 16 + 4 + 2 + 1 = 119

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For US classrooms and learning at home. Letter paper is selected initially. Choose number ranges to match the current lesson; grade placement varies, so these activities are organised by skill rather than a claimed Common Core grade.