Digital Logic
Q132.
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:Q133.
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?Q135.
Which of the given number has its IEEE-754 32-bit floating point representation as (0 10000000 110 0000 0000 0000 0000 0000)Q136.
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 isQ140.
The next state table of a 2-bit saturating up-counter is given below. \begin{matrix} Q_{1} & Q_{0} & Q_{1}^{+} &Q_{0}^{+} \\ 0 & 0 & 0 & 1 \\ 0 & 1 & 1 & 0\\ 1 & 0 & 1 & 1\\ 1 & 1 & 1 & 1 \end{matrix} The counter is built as a synchronous sequential circuit using T flip-flops. The expression for T_1 \; and \; T_0 are