MAX1209 datasheet(20/27 Pages) MAXIM

20 / 27 page

12-Bit, 80Msps, 3.3V IF-Sampling ADC

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BINARY-TO-GRAY CODE CONVERSION

1) THE MOST SIGNIFICANT GRAY-CODE BIT IS THE SAME

AS THE MOST SIGNIFICANT BINARY BIT.

0100

1100

BINARY

GRAY CODE

2) SUBSEQUENT GRAY-CODE BITS ARE FOUND ACCORDING

TO THE FOLLOWING EQUATION:

D11

GRAYX = BINARYX + BINARYX + 1

BIT POSITION

0100

1100

BINARY

GRAY CODE

D11

BIT POSITION

GRAY10 = BINARY10

BINARY11

GRAY10 = 1

3) REPEAT STEP 2 UNTIL COMPLETE:

0100

1100

BINARY

GRAY CODE

D11

BIT POSITION

GRAY9 = BINARY9

BINARY10

GRAY9 = 1

GRAY9 = 0

4) THE FINAL GRAY CODE CONVERSION IS:

0100

1100

BINARY

GRAY CODE

D11

BIT POSITION

1010

GRAY-TO-BINARY CODE CONVERSION

1) THE MOST SIGNIFICANT BINARY BIT IS THE SAME AS THE

MOST SIGNIFICANT GRAY-CODE BIT.

2) SUBSEQUENT BINARY BITS ARE FOUND ACCORDING TO

THE FOLLOWING EQUATION:

D11

BINARYX = BINARYX+1

BIT POSITION

BINARY10 = BINARY11

GRAY10

BINARY10 = 0

BINARY10 = 1

3) REPEAT STEP 2 UNTIL COMPLETE:

4) THE FINAL BINARY CONVERSION IS:

0100

1110

101

BINARY

GRAY CODE

D11

BIT POSITION

BINARY

GRAY CODE

0100

BINARY9 = BINARY10

GRAY9

BINARY9 = 1

GRAYX

1110

101

BINARY

GRAY CODE

D11

BIT POSITION

1110

101

BINARY

GRAY CODE

D11

BIT POSITION

0111

0100

110

EXCLUSIVE OR TRUTH TABLE

WHERE

IS THE EXCLUSIVE OR FUNCTION (SEE TRUTH

TABLE BELOW) AND X IS THE BIT POSITION:

WHERE

IS THE EXCLUSIVE OR FUNCTION (SEE TRUTH

TABLE BELOW) AND X IS THE BIT POSITION:

Figure 9. Binary-to-Gray and Gray-to-Binary Code Conversion

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