Which one of the following circuits implements the Boolean function given below?

f(x, y, z) = m₀ + m₁ + m₃ + m₄ + m₅ + m₆, where m_i is the i^th minterm.

If x and y are two decimal digits and (0.1101)2 = (0.8xy5)10, the decimal value of x + y is ______

The format of the single-precision floating-point representation of a real number as per the IEEE 754 standard is as follows:

sign

exponent

mantissa

Which one of the following choices is correct with respect to the smallest normalized positive number represented using the standard?

Suppose we want to design a synchronous circuit that processes a string of 0’s and 1’s. Given a string, it produces another string by replacing the first 1 in any subsequence of consecutive 1’s by a 0. Consider the following example.

Input sequence : 00100011000011100

Output sequence : 00000001000001100

A Mealy Machine is a state machine where both the next state and the output are functions of the present state and the current input.

The above mentioned circuit can be designed as a two-state Mealy machine. The states in the Mealy machine can be represented using Boolean values 0 and 1. We denote the current state, the next state, the next incoming bit, and the output bit of the Mealy machine by the variables s, t, b and y respectively.

Assume the initial state of the Mealy machine is 0.

What are the Boolean expressions corresponding to t and y in terms of s and b ?