CAFE hexadecimal to binary

Here we will show you how to convert the hexadecimal number CAFE to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert CAFE from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in CAFE by 16⁰, multiply the second to last digit in CAFE by 16¹, multiply the third to last digit in CAFE by 16², multiply the fourth to last digit in CAFE by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
F × 16¹ = 240
A × 16² = 2560
C × 16³ = 49152

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

14 + 240 + 2560 + 49152 = 51966

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

51966 ÷ 2 = 25983 with 0 remainder
25983 ÷ 2 = 12991 with 1 remainder
12991 ÷ 2 = 6495 with 1 remainder
6495 ÷ 2 = 3247 with 1 remainder
3247 ÷ 2 = 1623 with 1 remainder
1623 ÷ 2 = 811 with 1 remainder
811 ÷ 2 = 405 with 1 remainder
405 ÷ 2 = 202 with 1 remainder
202 ÷ 2 = 101 with 0 remainder
101 ÷ 2 = 50 with 1 remainder
50 ÷ 2 = 25 with 0 remainder
25 ÷ 2 = 12 with 1 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to CAFE hexadecimal to binary:

CAFE hexadecimal = 1100101011111110 binary

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CAFF hexadecimal to binary
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