What is 0b01101101 in base16?
Question
What is 0b01101101 in base16?
Solution 1
To convert the binary number 0b01101101 to base16 (hexadecimal), follow these steps:
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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.
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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.
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Combine the hexadecimal digits to get the final answer. In this case, the hexadecimal number is 6D.
Solution 2
To convert the binary number 0b01101101 to base16 (hexadecimal), follow these steps:
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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.
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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).
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Combine the hexadecimal digits in the same order. So, 01101101 in binary is 6D in hexadecimal.
Solution 3
To convert the binary number 0b01101101 to base16 (hexadecimal), follow these steps:
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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.
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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.
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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.
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