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The following hexadecimal number (1E.43)16 is equivalent toQuestion 3Answera.(35.503)8b.(35.103)8c.(36.503)8d.(36.103)8

Question

The following hexadecimal number (1E.43)16 is equivalent toQuestion 3Answera.(35.503)8b.(35.103)8c.(36.503)8d.(36.103)8

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Solution

To answer this question, we first need to convert the hexadecimal number to a decimal number, and then convert the decimal number to an octal number.

Step 1: Convert the hexadecimal number to a decimal number.

The hexadecimal number is 1E.43.

The integer part is 1E. Convert 1E from hexadecimal to decimal:

116^1 + E16^0 = 16 + 14 = 30

The fractional part is .43. Convert .43 from hexadecimal to decimal:

416^-1 + 316^-2 = 0.25 + 0.01171875 = 0.26171875

So, the decimal number is 30.26171875.

Step 2: Convert the decimal number to an octal number.

The integer part is 30. Convert 30 from decimal to octal:

30/8 = 3 remainder 6

So, the octal equivalent of 30 is 36.

The fractional part is .26171875. Convert .26171875 from decimal to octal:

.261718758 = 2.09375 (take the integer part 2) .093758 = 0.75 (take the integer part 0) .75*8 = 6 (take the integer part 6)

So, the octal equivalent of .26171875 is .203.

Therefore, the octal equivalent of the hexadecimal number (1E.43)16 is (36.203)8.

So, the answer is d. (36.103)8.

This problem has been solved

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