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2. Q1. Convert the decimal number 21.875 into its binary equivalent.
Answer : 21.87510 in binary 10101.1112
Q2. Convert the binary number 11001.011 into its binary equivalent.
Answer : 1001.0112 in decimal 25.37510
Q3. The normalized form for IEEE 754 numbers can be represented as ______. (E is
the exponent represented in the biased representation, S is the sign bit, P is the
significand)
Answer : 7.75
Q4. Which of the given number has its IEEE-754 32-bit floating-point representation
as (0 10000000 110 0000 0000 0000 0000 0000)
Answer : 3.5
Q5. A machine in which the least significant byte (LSB) is stored in the lowest
location is _________.
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3. Answer : little endian machine
Q6. Which of the following is an example of the base-index addressing mode?
Answer : The address part of instruction holds the beginning/base address and is
called as base
Q7. If we decide to stay away from IEEE 754 format by making our Exponent field
10 bits wide and our Mantissa field 21 bits wide, then which of the following
statement is TRUE?
1. None of the above
2. It will provide less precision as there will be fewer Mantissa bits
3. It will provide more precision as there will be fewer Mantissa bits
4. It will not change the precision
Answer : 2. It will provide less precision as there will be fewer Mantissa bits
What is the range of the exponent E in IEEE 754 Double Precision (Binary64)
format?
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4. 1. -1022≤E≤ 1022
2. 1023 E≤ 1023
3. -1023 ≤E≤ 1022
4. 1022 E≤ 1023
Answer : 4. 1022 E≤ 1023
Q8. P is a 16-bit signed integer. The 2's complement representation of P is (F87B)16
The 2's complement representation of 8*P is
1. (C3D8)16
2. (187B)16
3. (F878)16
4. (987B)16
Answer : 1. (C3D8)16
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