Three floating point numbers $X, Y,$ and $Z$ are stored in three registers $RX, RY,$ and $RZ,$ respectively, in IEEE 754 single-precision format as given below in hexadecimal: \[ RX = 0xC1100000, \quad RY = 0x40C00000, \quad RZ = 0x41400000 \] Which of the following option(s) is/are CORRECT?
Consider the following logic circuit diagram.
Assume that a 12-bit Hamming codeword consisting of 8-bit data and 4 check bits is $d_8 d_7 d_6 d_5 c_8 d_4 d_3 d_2 c_4 d_1 c_2 c_1$, where the data bits and the check bits are given in the following tables. Which one of the following choices gives the correct values of $x$ and $y$?
Consider a 3-bit counter, designed using T flip-flops, as shown below. Assuming the initial state of the counter given by $PQR$ as $000$, what are the next three states?
Consider a Boolean function \( f(w,x,y,z) \) such that $f(w,0,0,z) = 1 $$f(1,x,1,z) = x + z $$f(w,1,y,z) = wz + y $
The number of literals in the minimal sum-of-products expression of \( f \) is \(\underline{\hspace{2cm}}\).
If \( x \) and \( y \) are two decimal digits and \( (0.1101)_2 = (0.8xy5)_{10} \), the decimal value of \( x + y \) is \(\underline{\hspace{2cm}}\).
Which one of the following circuits implements the Boolean function given below? \[ f(x,y,z) = m_0 + m_1 + m_3 + m_4 + m_5 + m_6, \] where \(m_i\) is the \(i^{\text{th}}\) minterm.
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?
