MAX12553 Datasheet, PDF (21/28 Pages) Maxim Integrated Products – 14-Bit, 65Msps, 3.3V ADC

14-Bit, 65Msps, 3.3V ADC
BINARY-TO-GRAY CODE CONVERSION
1) THE MOST SIGNIFICANT GRAY CODE BIT IS THE SAME
AS THE MOST SIGNIFICANT BINARY BIT.
D13 D11
D7
D3 D0
01 1011 0100 1100
BIT POSITION
BINARY
0
GRAY CODE
2) SUBSEQUENT GRAY CODE BITS ARE FOUND ACCORDING
TO THE FOLLOWING EQUATION:
GRAY_X = BINARY_X BINARY_X+1
WHERE IS THE EXCLUSIVE OR FUNCTION (SEE TRUTH
TABLE BELOW) AND X IS THE BIT POSITION.
GRAY₁₂ = BINARY₁₂
GRAY₁₂ = 1 0
GRAY₁₂ = 1
BINARY₁₃
D13
D11
D7
D3 D0 BIT POSITION
0 1 1 0 1 1 0 1 0 0 1 1 0 0 BINARY
01
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
D7
D3 D0
0 1 0 1 10 1 1 1 0 1 0 1 0
BIT POSITION
GRAY CODE
0
BINARY
2) SUBSEQUENT BINARY BITS ARE FOUND ACCORDING
TO THE FOLLOWING EQUATION:
BINARY_X = BINARY_X+1 GRAY_X
WHERE IS THE EXCLUSIVE OR FUNCTION (SEE TRUTH
TABLE BELOW) AND X IS THE BIT POSITION.
BINARY₁₂ = BINARY₁₃
BINARY₁₂ = 0 1
BINARY₁₂ = 1
GRAY₁₂
D13
D11
D7
D3 D0 BIT POSITION
0 1 _{0 1 1 0 1 1 1 0 1 0 1 0 GRAY CODE}
01
BINARY
3) REPEAT STEP 2 UNTIL COMPLETE.
GRAY₁₁ = BINARY₁₁
GRAY₁₁ = 1 1
GRAY₁₁ = 0
BINARY₁₂
D13 D11
D7
01 1011 0100
D3 D0
1100
01 0
BIT POSITION
BINARY
GRAY CODE
3) REPEAT STEP 2 UNTIL COMPLETE.
BINARY₁₁ = BINARY₁₂
BINARY₁₁ = 1 0
BINARY₁₁ = 1
GRAY₁₁
D13 D11
D7
01 0110 1110
D3 D0
1010
01 1
BIT POSITION
GRAY CODE
BINARY
4) THE FINAL GRAY CODE CONVERSION IS:
D13 D11
D7
01 1011 0100
D3
D0
1100
BIT POSITION
BINARY
4) THE FINAL GRAY CODE CONVERSION IS:
D13 D11
D7
01 0110 1110
D3 D0
1010
01 0110 1110 1010
GRAY CODE
01
EXCULSIVE OR TRUTH TABLE
AB
Y=A B
00
0
01
1
10
1
11
0
1011
0100
1100
Figure 9. Binary-to-Gray and Gray-to-Binary Code Conversion
BIT POSITION
GRAY CODE
BINARY
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