Digital Logic


Q121.

The range of integers that can be represented by an n bit 2's complement number system is:
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Q122.

The number of 1's in the binary representation of (3*4096 + 15*256 + 5*16 + 3) are:
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Q123.

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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Q124.

Let the representation of a number in base 3 be 210. What is the hexadecimal representation of the number?
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Q125.

Given \sqrt{224_{r}}=13_{r} the value of radix r is
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Q126.

Consider three registers R1, R2, and R3 that store numbers in IEEE-754 single precision floating point format. Assume that R1 and R2 contain the values (in hexadecimal notation) 0x42200000 and 0xC1200000, respectively. If R3=\frac{R1}{R2}, what is the value stored in R3?
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Q127.

When two BCD numbers 0\times14 and 0\times08 are added what is the binary representation of the resultant number ?
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Q128.

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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Q129.

The number 1102 in base 3 is equivalent to 123 in which base system?
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Q130.

Consider the following representation of a number in IEEE 754 single-precision floating point format with a bias of 127. S:1E:10000001F:11110000000000000000000 Here, S,E and F denote the sign, exponent, and fraction components of the floating point representation. The decimal value corresponding to the above representation (rounded to 2 decimal places) is ____________.
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