MAX12559 Datasheet, PDF(21/30 Page) Maxim Integrated Products

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MAX12559 Datasheet, PDF (21/30 Pages) Maxim Integrated Products – Dual, 96Msps, 14-Bit, IF/Baseband ADC

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Dual, 96Msps, 14-Bit, IF/Baseband ADC

BINARY-TO-GRAY CODE CONVERSION

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

AS THE MOST SIGNIFICANT BINARY BIT.

D13 D11

01 1011 0100 1100

BIT POSITION

BINARY

GRAY CODE

2) SUBSEQUENT GRAY-CODE BITS ARE FOUND ACCORDING

TO THE FOLLOWING EQUATION:

GRAYX = BINARYX + BINARYX + 1

WHERE + IS THE EXCLUSIVE OR FUNCTION (SEE TRUTH

TABLE BELOW) AND X IS THE BIT POSITION:

GRAY12 = BINARY12 + BINARY13

GRAY12 = 1 + 0

GRAY12 = 1

D13

D11

0+11011 0100

1100

BIT POSITION

BINARY

GRAY CODE

3) REPEAT STEP 2 UNTIL COMPLETE:

GRAY11 = BINARY11 + BINARY12

GRAY11 = 1 + 1

GRAY11 = 0

D13

D11

0 1+ 1 01 1 0 1 0 0

01 0

1100

BIT POSITION

BINARY

GRAY CODE

4) THE FINAL GRAY-CODE CONVERSION IS:

D13

D11

10 11

0100

1100

01 01 10 1110 1010

BIT POSITION

BINARY

GRAY CODE

GRAY-TO-BINARY CODE CONVERSION

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

MOST SIGNIFICANT GRAY-CODE BIT.

D13 D11

0 1 01 10 1 1 1 0 1 0 10

BIT POSITION

GRAY CODE

BINARY

2) SUBSEQUENT BINARY BITS ARE FOUND ACCORDING TO

THE FOLLOWING EQUATION:

BINARYX = BINARYX+1 + GRAYX

WHERE + IS THE EXCLUSIVE OR FUNCTION (SEE TRUTH

TABLE BELOW) AND X IS THE BIT POSITION:

BINARY12 = BINARY13 + GRAY12

BINARY12 = 0 + 1

BINARY12 = 1

D13

D11

0 1 0110

1110

1010

BIT POSITION

GRAY CODE

BINARY

3) REPEAT STEP 2 UNTIL COMPLETE:

BINARY11 = BINARY12 + GRAY11

BINARY11 = 1 + 0

BINARY11 = 1

D13

D11

01 0110

01 1

1110 1010

BIT POSITION

GRAY CODE

BINARY

4) THE FINAL BINARY CONVERSION IS:

D13 D11

01 0 11 0 1110 1010

01 1 01 1 0100 1100

BIT POSITION

GRAY CODE

BINARY

FIGURE 8 SHOWS THE GRAY-TO-BINARY AND BINARY-TO-GRAY

CODE CONVERSION IN OFFSET BINARY FORMAT. THE OUTPUT

FORMAT OF THE MAX12559 IS TWO'S-COMPLEMENT BINARY,

HENCE EACH MSB OF THE TWO'S-COMPLEMENT OUTPUT CODE

MUST BE INVERTED TO REFLECT TRUE OFFSET BINARY FORMAT.

EXCLUSIVE OR TRUTH TABLE

Y=A+B

Figure 8. Binary-to-Gray and Gray-to-Binary Code Conversion

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