
Here we will show you how to convert the hexadecimal number CFB1 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 CFB1 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in CFB1 by 16⁰, multiply the second to last digit in CFB1 by 16¹, multiply the third to last digit in CFB1 by 16², multiply the fourth to last digit in CFB1 by 16³, and so on, until all the digits are used.
1 × 16⁰ = 1
B × 16¹ = 176
F × 16² = 3840
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:
1 + 176 + 3840 + 49152 = 53169
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.
53169 ÷ 2 = 26584 with 1 remainder
26584 ÷ 2 = 13292 with 0 remainder
13292 ÷ 2 = 6646 with 0 remainder
6646 ÷ 2 = 3323 with 0 remainder
3323 ÷ 2 = 1661 with 1 remainder
1661 ÷ 2 = 830 with 1 remainder
830 ÷ 2 = 415 with 0 remainder
415 ÷ 2 = 207 with 1 remainder
207 ÷ 2 = 103 with 1 remainder
103 ÷ 2 = 51 with 1 remainder
51 ÷ 2 = 25 with 1 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 CFB1 hexadecimal to binary:
CFB1 hexadecimal = 1100111110110001 binary
Hexadecimal to Binary Converter
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CFB2 hexadecimal to binary
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