Digital Logic


Q101.

The format of the single-precision floating point representation of a real number as per the IEEE 754 standard is as follows: \begin{array}{|c|c|c|} \hline \text{sign} & \text{exponent} & \text{mantissa} \\ \hline \end{array} Which one of the following choices is correct with respect to the smallest normalized positive number represented using the standard?
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Q102.

If a variable can take only integral values from 0 to n, where n is an integer, then the variable can be represented as a bit-field whose width is (the log in the answer are to the base 2, and \lceil\log n\rceil means the floor of \log_{}{n} )
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Q103.

In the standard IEEE 754 single precision floating point representation, there is 1 bit for sign, 23 bits for fraction and 8 bits for exponent. What is the precision in terms of the number of decimal digits?
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Q104.

The range of integers that can be represented by an n bit 2's complement number system is:
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Q105.

The 16 bit 2's complement representation of an integer is 1111 1111 1111 0101; its decimal representation is__________ .
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Q106.

Let X be the number of distinct 16-bit integers in 2's complement representation. Let Y be the number of distinct 16 bit integers in sign magnitude representation. Then X-Y is ________.
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Q107.

When two n-bit binary numbers are added the sum will contain at the most
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Q108.

The binary equivalent of the decimal number 42.75 is
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Q109.

Let the representation of a number in base 3 be 210. What is the hexadecimal representation of the number?
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Q110.

How many different BCD numbers can be stored in 12 switches ? (Assume two position or on-off switches).
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