Gray code counter

A decrementer which decrements a Gray Code number I.sub.gray ›n:0! to produce a decremented Gray Code number Z.sub.gray ›n:0!, the decrementer comprising:

• first translator logic which translates the Gray Code number I.sub.gray ›n:0! into a binary number I.sub.bin ›n:0! according to the following logic algorithm:
• I.sub.bin ›n:0!=I.sub.gray ›n:0! XOR {0,I.sub.bin ›n:1!};
• binary decrementing logic which decrements the binary number I.sub.bin ›n:0! to produce a decremented binary number Z.sub.bin ›n:0! according to the following logic algorithm:
• Z.sub.bin ›n:0!=I.sub.bin ›n:0!-1;
• and,
• second translator logic which translates the decremented binary number Z.sub.bin ›n:0! into the decremented Gray Code number Z.sub.gray ›n:0! according to the following logic algorithm:
• Z.sub.gray ›n:0!=Z.sub.bin ›n:0! XOR {0,Z.sub.bin ›n:1!.

A Gray Code counter comprising:

• first translator logic which receives at an input a Gray Code number, I.sub.gray ›n:0! which the first translator translates into a binary number, I.sub.bin ›n:0!;
• binary incrementing logic which increments the binary number I.sub.bin ›n:0! to produce an incremented binary number, Z.sub.bin ›n:0!;
• second translator logic which translates the incremented binary number Z.sub.bin ›n:0! into an incremented Gray Code number, Z.sub.gray ›n:0!;
• and,
• clocked storage device, coupled to the second translator logic, which stores the incremented Gray Code number, Z.sub.gray ›n:0!, the clocked storage device feeding the incremented Gray Code number, Z.sub.gray ›n:0!, to the input of the first translator logic.

A Gray Code counter comprising:

• first translator logic which receives at an input a Gray Code number, I.sub.gray ›n:0! which the first translator translates into a binary number, I.sub.bin ›n:0!;
• binary decrementing logic which decrements the binary number I.sub.bin ›n:0! to produce a decremented binary number, Z.sub.bin ›n:0!;
• second translator logic which translates the decremented binary number Z.sub.bin ›n:0! into a decremented Gray Code number, Z.sub.gray ›n:0!;
• and,
• clocked storage device, coupled to the second translator logic, which stores the decremented Gray Code number, Z.sub.gray ›n:0!, the clocked storage device feeding the decremented Gray Code number, Z.sub.gray ›n:0!, to the input of the first translator logic.

A method by which a Gray Code counter is implemented, the method comprising the following steps:

• (a) during a first clock cycle, translating a Gray Code number, I.sub.gray ›n:0!, into a binary number, I.sub.bin ›n:0!;
• (b) incrementing the binary number I.sub.bin ›n:0! to produce an incremented binary number, Z.sub.bin ›n:0!;
• (c) translating the incremented binary number Z.sub.bin ›n:0! into an incremented Gray Code number, Z.sub.gray ›n:0!;
• and,
• (d) using incremented Gray Code number, Z.sub.gray ›n:0!, as the Gray Code number I.sub.gray ›n:0! during a next clock cycle.

A method by which a Gray Code counter is implemented, the method comprising the following steps:

• (a) during a first clock cycle, translating a Gray Code number, I.sub.gray ›n:0!, into a binary number, I.sub.bin ›n:0!;
• (b) decrementing the binary number I.sub.bin ›n:0! to produce a decremented binary number, Z.sub.bin ›n:0!;
• (c) translating the decremented binary number Z.sub.bin ›n:0! into a decremented Gray Code number, Z.sub.gray ›n:0!;
• and,
• (d) using the decremented Gray Code number, Z.sub.gray ›n:0!, as the Gray Code number I.sub.gray ›n:0! during a next clock cycle.