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The numerator is a sequential circuit that uses a register to generate a sequence of numbers. The simplest numerator generates a sequence of ascending consecutive numbers. The size of the counter is given by the number of bits of the registers used.

The schema of this device is as follows:

Schema of a numerator

Note:' 'The count can be used as a frequency divider because each bit has a period twice as high as the previous one, and the bit 0 has a double period over the clock signal:

Value & nbsp; 0 & nbsp; 1 & nbsp; 2 & nbsp; 3 & nbsp; 4 & nbsp; 5 & nbsp; 6 & nbsp; 7 & nbsp; 8 & nbsp; 9 10 11 12 13 14 15 Waveforms
Bit 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 Num0.png
Bit 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 Num1.png
Bit 2 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 Num2.png
Bit 3 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 Num3.png

Interface of a counter

The interface of a numerator necessarily contains the following ports:

  • Clock signal port;
  • output signal port, which is even the counting register.

In addition, there may still be:

  • Reset port;
  • port that controls the counting direction;
  • port that stops or starts counting;
  • port giving the maximum value the numerator can reach;
  • port that commands to load a start value in the counter of the counter and the port on which this value is given;
  • etc.

Implementing a numerator

As a sequential circuit, a counter is implemented exclusively with always sequential blocks.