9/20/17

number 14

Code: PU 
P=100 (k=86=2 (mod 14) )
Formulae:
Number N is divisible by 14 iff 2*b+a is divisible by 14

Example:
Number N = 98 76 54 32 08 = 0 6 12 4 8 =
2(0 6 12 4)+8 =
2(2(0 6 12+4)+8 =
2(2(2(0  6+12)+4)+8 =
2(2(2(2* 0+6)+12)+4)+8 =
2(2(2*   6+12)+4)+8 =
2(2*    10+4)+8 =
2*      10+8 = 0 (mod 14)
is divisible by 14.




Code: PD
P=10, (k=4)
Formulae:
Number N is divisible by 14 iff -4b+a is divisible by 14

Example:
Number N = 54391
-4(      5439)+1 =
-4(-4(    543+9)+1 =
-4(-4(-4(  54+3)+9)+1 =
-4(-4(-4(-4*5+4)+3)+9)+1 =
-4(-4(-4*  12+3)+9)+1 =
-4(-4*     11+9)+1
-4*         7+1 = 8 (mod 14)
isn't divisible by 14.