Let C be the nullspace of the 1 x 9 matrix H1 (6.2.6) In other words, let C be the parity check code of length 9 (8 data bits, 1
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Answer:
The three-digit numbers with these properties are 850 or 941.
Step-by-step explanation:
Let x be the hundreds digit, y the tens digit, and z the ones digit. The first condition says that . The second condition is:
the original number is while the reversed number is
so
Now we have the system
You can divide by 99 to simplify the second equation.
Note that x, y, z must be digits between 0 and 9 and . If
, then the second equation forces
, for example z=2 so x-2=8, x=10 which is impossible. If z=0, you get x=8, y=5 and the number is 850. If z=1, you get x=9,y=4 and the number is 941.