4.2 Counters
A counter is a sequential circuit that counts in a particular code (upwards or downwards). A counter can be realized using all types of FFs (the additional logic gates need to be changed when you change the FF type, however). Counters for the binary code and the Gray code are already well know from the lecture.
Some properties of a counter:
Counting up means that the number in the next cycle will be higher than the current one
Auto-run means that the counter automatically starts when the circuit is powered on/the simulation begins
A synchronous counter is a counter where each of the flip-flops is connected to one single clock line, that means all flip-flop have a common clock line.
For an asynchronous counter, the clock-inputs of some flip-flops are connected to the outputs of other flip-flops, that is, each of the flip-flops may have a different clock
4.3 Counter for 5-3-2-1 code
As circuit diagrams for counters using binary code an Gray code are well known, in this lab a counter using the 5-3-2-1 code is to be designed.
You already know binary code and Gray code (lab 2). The 5-3-2-1 code is a 4-bit code that makes a positional numeral system. The positional values of the 5-3-2-1 code aren't 2^(3),2^(2),2 and 1 as in the binary code, but 5,3,2 and 1 . This is clarified by the following example:
4-bit binary code: ,7(dec)=0111=0*2^(3)+1*2^(2)+1*2+1*1
4-bit 5-3-2-1 code : ,7(dec)=1010=1*5+0*3+1*2+0*1
Q 8: What is the number 6 in the 5-3-2-1 code, what in binary code?
4.2 Counters
A counter is a sequential circuit that counts in a particular code (upwards or downwards).A counter can be realized using all types of FFs (the additional logic gates need to be changed when you change the FF type,however.Counters for the binary code and the Gray code are already well know from the lecture. Some properties of a counter: Counting up means that the number in the next cycle will be higher than the current one
Auto-run means that the counter automatically starts when the circuit is powered on/the simulation begins
A synchronous counter is a counter where each of the flip-flops is connected to one single clock line, that means all flip-flop have a common clock line.
For an asynchronous counter, the clock-inputs of some flip-flops are connected to the outputs of other flip-flops,that is,each of the flip-flops may have a different clock
4.3 Counter for 5-3-2-1 code
As circuit diagrams for counters using binary code an Gray code are well known, in this lab a counter using the 5-3-2-1 code is to be designed.
You already know binary code and Gray code (lab 2.The 5-3-2-1 code is a 4-bit code that makes a positional numeral system.The positional values of the 5-3-2-1 code aren't 23,22,2 and l as in the binary code, but 5,3,2 and 1.This is clarified by the following example:
4-bit binary code: 7dec=0111=023+122+12+11 4-bit5-3-2-1 code 7dec=1010=15+03+12+01
Q 8: What is the number 6 in the 5-3-2-1 code, what in binary code?
