What is Clock Skew?

Given two sequentially-adjacent registers, Ri and Rj, and an equipotential clock distribution network, the clock skew between these two registers is defined as

Tskew-i,j = Tci - Tcj

where Tci and Tcj are the clock delays from the clock source to the registers Ri and Rj, respectively.

De-Multiplexer

The de-multiplexer is the inverse of the multiplexer, in that it takes a single data input and n address inputs. It has 2ⁿ outputs. The address input determine which data output is going to have the same value as the data input. The other data outputs will have the value 0.

Encoder

Just opposite to decoder an encoder has many inputs but less outputs.

Below figure shows an example of 4-to-2 Encoder 

Multiplexer

A multiplexer performs the function of selecting the input on any one of 'n' input lines and feeding this input to one output line.


Assume that we have four lines, C0, C1, C2 and C3, which are to be multiplexed on a single line, Output (f). The four input lines are also known as the Data Inputs. Since there are four inputs, we will need two additional inputs to the multiplexer, known as the Select Inputs, to select which of the C inputs is to appear at the output. Call these select lines A and B.
The gate implementation of a 4-line to 1-line multiplexer is shown below:

Decoder

Decoder is a multiple input; multiple output logic circuit that converts coded inputs in coded outputs, where input and output codes are different.

Inputs have fewer inputs than output. Below is a simple example of 2-to-4 decoder.

Sequential Circuits

Sequential logic differs from combinational logic in that the output of the logic device is dependent not only on the present inputs to the device, but also on past inputs; i.e., the output of a sequential logic device depends on its present internal state and the present inputs. This implies that a sequential logic device has some kind of memory of at least part of its ``history'' (i.e., its previous inputs). Below figure shows a generic structure for sequential circuit.

The memory elements are devices capable of storing binary info. The binary info stored in the memory elements at any given time defines the state of the sequential circuit. The input and the present state of the memory element determines the output. Memory elements next state is also a function of external inputs and present state. A sequential circuit is specified by a time sequence of inputs, outputs, and internal states.

There are two types of sequential circuits. Their classification depends on the timing of their signals: Synchronous sequential circuits Asynchronous sequential circuits Asynchronous sequential circuits: This is a system whose outputs depend upon the order in which its input variables change and can be affected at any instant of time. Gate-type asynchronous systems are basically combinational circuits with feedback paths. Because of the feedback among logic gates, the system may, at times, become unstable. Consequently they are not often used. Below is an example circuit.

Synchronous sequential circuits:This type of system uses storage elements called flip-flops that are employed to change their binary value only at discrete instants of time. Synchronous sequential circuits use logic gates and flip-flop storage devices. Sequential circuits have a clock signal as one of their inputs. All state transitions in such circuits occur only when the clock value is either 0 or 1 or happen at the rising or falling edges of the clock depending on the type of memory elements used in the circuit. Synchronization is achieved by a timing device called a clock pulse generator. Clock pulses are distributed throughout the system in such a way that the flip-flops are affected only with the arrival of the synchronization pulse. Synchronous sequential circuits that use clock pulses in the inputs are called clocked-sequential circuits. They are stable and their timing can easily be broken down into independent discrete steps, each of which is considered separately.

Below figure shows example circuit:

A clock signal is a periodic square wave that indefinitely switches from 0 to 1 and from 1 to 0 at fixed intervals. Clock cycle time or clock period: the time interval between two consecutive rising or falling edges of the clock.

Combinational circuits

Combinatorial Circuits are circuits which can be considered to have the following generic structure.

Whenever the same set of inputs is fed in to a combinatorial circuit, the same outputs will be generated. Such circuits are said to be stateless. Some simple combinational logic elements that we have seen in previous sections are "Gates".

Below figure shows the basic gates that are used to build a combinational circuit.

Digital Design

As i have mentioned earlier that digital design concepts has to be crystal clear while you design a digital circuit. Here we will stat with the basic concepts of digital designing.

Digital or binary logic has fascinated many people over the years. The very idea that a two-valued number system can possibly be the basis for the most powerful and sophisticated computers seems astounding, to say the least. Nevertheless, it is so, and the how and the why of this requires some explanation.

Everything in the digital world is based on the binary number system. Numerically, this involves only two symbols: 0 and 1. Logically, we can use these symbols or we can equate them with others according to the needs of the moment. Thus, when dealing with digital logic, we can specify that:

0 = false = no

1 = true = yes

Using this two-valued logic system, every statement or condition must be either "true" or "false;" it cannot be partly true and partly false. While this approach may seem limited, it actually works quite nicely, and can be expanded to express very complex relationships and interactions among any number of individual conditions.

Digital logic may be divided into two classes:

=> combinational logic, in which the logical outputs are determined by the logical function being performed and the logical input states at that particular moment. A simple combinational circuit is shown below.

=>sequential logic, in which the outputs also depend on the prior states of those outputs. Both classes of logic are used extensively in all digital computers. A Latch is considered to be a simplest sequential circuit. A simple sequential circuit is shown below.