
Here we will show you how to convert the hexadecimal number ACB1 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 ACB1 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in ACB1 by 16⁰, multiply the second to last digit in ACB1 by 16¹, multiply the third to last digit in ACB1 by 16², multiply the fourth to last digit in ACB1 by 16³, and so on, until all the digits are used.
1 × 16⁰ = 1
B × 16¹ = 176
C × 16² = 3072
A × 16³ = 40960
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 + 3072 + 40960 = 44209
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.
44209 ÷ 2 = 22104 with 1 remainder
22104 ÷ 2 = 11052 with 0 remainder
11052 ÷ 2 = 5526 with 0 remainder
5526 ÷ 2 = 2763 with 0 remainder
2763 ÷ 2 = 1381 with 1 remainder
1381 ÷ 2 = 690 with 1 remainder
690 ÷ 2 = 345 with 0 remainder
345 ÷ 2 = 172 with 1 remainder
172 ÷ 2 = 86 with 0 remainder
86 ÷ 2 = 43 with 0 remainder
43 ÷ 2 = 21 with 1 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 ACB1 hexadecimal to binary:
ACB1 hexadecimal = 1010110010110001 binary
Hexadecimal to Binary Converter
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ACB2 hexadecimal to binary
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