4891 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 4891 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 4891 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 4891 by 16⁰, multiply the second to last digit in 4891 by 16¹, multiply the third to last digit in 4891 by 16², multiply the fourth to last digit in 4891 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
9 × 16¹ = 144
8 × 16² = 2048
4 × 16³ = 16384

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 + 144 + 2048 + 16384 = 18577

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.

18577 ÷ 2 = 9288 with 1 remainder
9288 ÷ 2 = 4644 with 0 remainder
4644 ÷ 2 = 2322 with 0 remainder
2322 ÷ 2 = 1161 with 0 remainder
1161 ÷ 2 = 580 with 1 remainder
580 ÷ 2 = 290 with 0 remainder
290 ÷ 2 = 145 with 0 remainder
145 ÷ 2 = 72 with 1 remainder
72 ÷ 2 = 36 with 0 remainder
36 ÷ 2 = 18 with 0 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 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 4891 hexadecimal to binary:

4891 hexadecimal = 100100010010001 binary

Hexadecimal to Binary Converter
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4892 hexadecimal to binary
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