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To convert base 16 to base 2 DIRECTLY without base 2, consider that each base 16 digit represents four base 2 bits. Just write down the base 2 equivalent for each base 16 digit.

0 - 0000

1 - 0001

2 - 0010

3 - 0011

4 - 0100

5 - 0101

6 - 0110

7 - 0111

8 - 1000

9 - 1001

A - 1010

B - 1011

C - 1100

D - 1101

E - 1110

F - 1111

Example: 51C3

5 -> 0101

1 -> 0001

C > 1100

3 -> 0011

So 51C3 -> 0101000111000011

(But you should delete the leading 0, hence 101000111000011.)

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Q: How do you convert base 16 to base 2 DIRECTLY without base 2?
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