# Hex And Binary Conversions

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Quizzes Created: 6 | Total Attempts: 2,703
Questions: 14 | Attempts: 1,566

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Some practice converting Hex to Decimal, Decimal to Hex, Decimal to Binary, etc.

• 1.

### Convert DEC32 to Hex

Explanation
In this question, we are asked to convert the decimal number 32 to its hexadecimal equivalent. The decimal number 32 in hexadecimal is represented as 20.

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• 2.

### DEC31 to Hex

Explanation
The given answer "1F, 1f" is the hexadecimal representation of the decimal number 31. In hexadecimal, the digits range from 0 to 9, followed by A to F representing the values 10 to 15. The uppercase "F" and lowercase "f" both represent the value 15 in hexadecimal. Therefore, "1F" and "1f" are both valid representations of the decimal number 31 in hexadecimal.

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• 3.

• 4.

### BIN 1110011 = ? DEC

Explanation
The given binary number 1110011 can be converted to decimal by multiplying each digit by the corresponding power of 2 and adding the results. In this case, starting from the rightmost digit, we have 1 * 2^0 + 1 * 2^1 + 0 * 2^2 + 0 * 2^3 + 1 * 2^4 + 1 * 2^5 + 1 * 2^6 = 1 + 2 + 0 + 0 + 16 + 32 + 64 = 115. Therefore, the decimal equivalent of the given binary number is 115.

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• 5.

• 6.

### BIN 11101 = ? DEC

Explanation
The given binary number "BIN 11101" can be converted to decimal by multiplying each digit with its corresponding power of 2 and adding them together. In this case, starting from the rightmost digit, we have 1*2^0 + 0*2^1 + 1*2^2 + 1*2^3 + 1*2^4 = 1 + 0 + 4 + 8 + 16 = 29. Therefore, the decimal equivalent of "BIN 11101" is 29.

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• 7.

### BIN 1010101 = ? DEC

Explanation
The given binary number 1010101 can be converted to decimal by multiplying each digit with the corresponding power of 2 and then adding them together. In this case, the calculation would be: (1*2^6) + (0*2^5) + (1*2^4) + (0*2^3) + (1*2^2) + (0*2^1) + (1*2^0) = 64 + 0 + 16 + 0 + 4 + 0 + 1 = 85. Therefore, the correct answer is 85.

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• 8.

### BIN 100011 = ? DEC

Explanation
The given binary number, 100011, can be converted to decimal by multiplying each digit by its corresponding power of 2 and then adding the results. In this case, starting from the rightmost digit, we have 1*2^0 + 1*2^1 + 0*2^2 + 0*2^3 + 0*2^4 + 1*2^5 = 1 + 2 + 0 + 0 + 0 + 32 = 35. Therefore, the decimal equivalent of the binary number 100011 is 35.

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• 9.

• 10.

### BIN 1111 = ? DEC

Explanation
The given question asks for the decimal equivalent of the binary number "BIN 1111". The binary number "1111" represents the decimal number 15. Therefore, the correct answer is 15.

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• 11.

### BIN 100000 = ? DEC

Explanation
The question asks for the decimal equivalent of the binary number 100000. In binary, each digit represents a power of 2, starting from the rightmost digit as 2^0. So, in this case, the binary number 100000 represents 2^5, which is equal to 32 in decimal.

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• 12.

• 13.

• 14.

### DEC 7 = ? BIN

Explanation
The given question is asking for the decimal equivalent of the binary number 111. In binary, each digit can have a value of either 0 or 1, and the place values increase by powers of 2 from right to left. So, in this case, the binary number 111 represents 1*2^2 + 1*2^1 + 1*2^0 = 4 + 2 + 1 = 7 in decimal. Therefore, the correct answer is 111.

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