0
You need four bits for each hex digit since 4 bits can support a value from 0-15.
Binary_____Hexidecimal
0_________0
1_________1
10________2
11________3
100_______4
101_______5
110_______6
111_______7
1000______8
1001______9
1010______A
1011______B
1100______C
1101______D
1111______F
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