Hex And Binary Conversions

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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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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.

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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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.

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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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.

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.

To convert a decimal number to hexadecimal (base 16), we can use the repeated division-by-16 method.

DEC32 in decimal is equivalent to 20 in hexadecimal.

Explanation: 32 divided by 16 equals 2 with a remainder of 0. So, the hexadecimal representation is 20.