Number System
Q32.
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?Q33.
When two BCD numbers 0\times14 and 0\times08 are added what is the binary representation of the resultant number ?Q34.
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} )Q36.
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 ____________.Q37.
Consider Z = X - Y where X, Y and Z are all in sign-magnitude form. X and Y are each represented in n bits. To avoid overflow, the representation of Z would require a minimum of:Q39.
Consider the unsigned 8-bit fixed point binary Number System below, b_7 b_6 b_5 b_4 b_3 . b_2 b_1 b_0 where the position of the binary point is between b_3 \; and \; b_2. Assume b_7 is the most significant bit. Some of the decimal numbers listed below cannot be represented exactly in the above representation: (i) 31.500 (ii) 0.875 (iii) 12.100 (iv) 3.001 Which one of the following statements is true?Q40.
The value of a float type variable is represented using the single-precision 32-bit floating point format of IEEE-754 standard that uses 1 bit for sign, 8 bits for biased exponent and 23 bits for mantissa. A float type variable x is assigned the decimal value of -14.25. The representation of x in hexadecimal notation is