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AD9239

Data Sheet

Calculating the Parity Bits for the Hamming Code

The Hamming bits are defined as follows. The definition is

shown in the charts for a 12-bit example. The Hamming parity

bits are shown interleaved in the data. This makes it easier to

see the numeric relationship. The decoding on the receive side

is just the inversion. A separate document will show the proper

way to correct an error in the transmission.

The p8 bit (MSB of the parity bits) will always be 0. The p7 bit is

a parity bit for the entire packet after the other parity bits are

calculated.

<11>

<10>

<9>

<8>

<7>

<6>

<5>

<4>

<3>

<2>

<1>

<0>

<11>

<10>

<9>

<8>

<7>

<6>

<5>

<4>

<3>

<2>

<1>

<0>

<11>

<10>

<9>

<8>

<7>

<6>

<5>

<4>

<3>

<2>

<1>

<0>

<11>

<10>

<9>

<8>

<7>

<6>

<5>

<4>

<3>

<2>

<1>

<0>

Figure 68. 64-Bit Packet: 12-Bit Case

<11>

<10>

<9>

<8>

<7>

<6>

<5>

<4>

<3>

<2>

<1>

<0>

<11>

<10>

<9>

<8>

<7>

<6>

<5>

<4>

<3>

<2>

<1>

<0>

<11>

<10>

<9>

<8>

<7>

<6>

<5>

<4>

<3>

<2>

<1>

<0>

<11>

<10>

<9>

<8>

<7>

<6>

<5>

<4>

<3>

<2>

<1>

<0>

Figure 69. 64-Bit Packet Hamming Template for 12-Bit Case

<11>

<9>

<7>

<5>

<3>

<1>

<11>

<9>

<7>

<5>

<3>

<1>

<0>

<10>

<8>

<6>

<4>

<2>

<0>

<10>

<9>

<7>

<5>

<3>

<2>

<0>

p1 = h7^h5^h3^h1^d1<11>^d1<9>^d1<7>^d1<5>^d1<3>^d1<1>^d2<11>^d2<9>^d2<7>^d2<5>^d2<3>^d2<1>^d2<0>

^d3<10>^d3<8>^d3<6>^d3<4>^d3<2>^d3<0>^d4<10>^d4<9>^d4<7>^d4<5>^d4<3>^d4<2>^d4<0>^0

Figure 70. p1 Bit for 64-Bit Packet: 12-Bit Case

<11>

<10>

<7>

<6>

<3>

<2>

<11>

<10>

<7>

<6>

<3>

<2>

<0>

<11>

<8>

<7>

<4>

<3>

<0>

<11>

<9>

<8>

<5>

<4>

<2>

<1>

p2 = h7^h6^h3^h2^d1<11>^d1<10>^d1<7>^d1<6>^d1<3>^d1<2>^d2<11>^d2<10>^d2<7>^d2<6>^d2<3>^d2<2>^

d2<0>^d3<11>^d3<8>^d3<7>^d3<4>^d3<3>^d3<0>^d4<11>^d4<9>^d4<8>^d4<5>^d4<4>^d4<2>^d4<1>^0

Figure 71. p2 Bit for 64-Bit Packet: 12-Bit Case

Rev. E | Page 28 of 40

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