logic gates

The digital circuit shown has 3 inputs (x, y, and z). The simplified logical expression for the output (OUT) is:

A Boolean function is given as $f = (\bar{u} + \bar{v} + \bar{w} + x). (\bar{u} + \bar{v} + w + x). (\bar{u} + v + \bar{w} + x). (\bar{u} + v + w + x)$ The simplified form of this...

A Boolean function is given as $$ f=(\bar{u}+\bar{v}+\bar{w}+\bar{x}) \cdot(\bar{u}+\bar{v}+\bar{w}+x) \cdot(\bar{u}+v+\bar{w}+\bar{x}) \cdot(\bar{u}+v+\bar{w}+x) $$ The simplified...

Neglecting the delays due to the logic gates in the circuit shown in figure, the decimal equivalent of the binary sequence [ABCD] of initial logic states, which will not change wit...

A 16 -bit synchronous binary up-counter is clocked with a frequency $f_{c l k}$. The two most significant bits are ORed together to form an output $Y$. Measurements shows that $Y$...

In the circuit shown below, X and Y are digital inputs, and Z is a digital output. The equivalent circuit is a

For a 3-input logic circuit shown below, the output Z can be expressed as

In the logic circuit shown in the figure, Y is given by

A bulb in staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned $$ON$$ and also can be turned $$OFF$$ by any...

Which of the following circuits is a realization of the previous function $$F$$ $$?$$

The complete set of only those Logic Gates designated as Universal gates is

The output of a logic gate is $$''1''$$ when all its inputs are at logic $$''0''.$$ The gate is either

The logic function $$f = \overline {\left( {x.\overline y } \right) + \left( {\overline x .y} \right)} $$ is the same as

The open collector outputs of two$$2$$-inputs $$NAND$$ gates are connected to a common pull up resistor. If the input to the gates are $$P,Q$$ and $$R,S$$ respectively, the output...