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.
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?
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.
If \( x \) and \( y \) are two decimal digits and \( (0.1101)_2 = (0.8xy5)_{10} \), the decimal value of \( x + y \) is \(\underline{\hspace{2cm}}\).
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 \(\underline{\hspace{2cm}}\).
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?
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 $y$?
