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What is 0b01101101 in base16?

Question

What is 0b01101101 in base16?

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Solution 1

To convert the binary number 0b01101101 to base16 (hexadecimal), follow these steps:

  1. Break the binary number into groups of four, starting from the right. If there aren't enough digits to make a group of four, add zeros to the left. In this case, the binary number is already 8 digits, so it can be split into two groups of four: 0110 1101.

  2. Convert each group of four binary digits into a hexadecimal digit. The binary number 0110 is 6 in decimal and 6 in hexadecimal. The binary number 1101 is 13 in decimal, which is D in hexadecimal.

  3. Combine the hexadecimal digits to get the final answer. In this case, the hexadecimal number is 6D.

This problem has been solved

Solution 2

To convert the binary number 0b01101101 to base16 (hexadecimal), follow these steps:

  1. Break the binary number into groups of four from the right. In this case, it's already eight digits, so we have two groups: 0110 and 1101.

  2. Convert each group of four binary digits into a hexadecimal digit.

    • 0110 in binary is 6 in decimal, which is also 6 in hexadecimal.
    • 1101 in binary is 13 in decimal, which is D in hexadecimal (since A=10, B=11, C=12, D=13, E=14, F=15 in hexadecimal).
  3. Combine the hexadecimal digits in the same order. So, 01101101 in binary is 6D in hexadecimal.

This problem has been solved

Solution 3

To convert the binary number 0b01101101 to base16 (hexadecimal), follow these steps:

  1. Break the binary number into groups of four, starting from the right. If the leftmost group has less than four digits, add zeros to the left to make it a group of four. In this case, 01101101 becomes 0110 1101.

  2. Convert each group of four binary digits into a hexadecimal digit. The binary number 0110 corresponds to the hexadecimal number 6, and the binary number 1101 corresponds to the hexadecimal number D.

  3. Combine the hexadecimal digits to get the final answer. In this case, 6 and D combine to give 6D.

So, 0b01101101 in base16 is 6D.

This problem has been solved

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