69A1 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 69A1 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 69A1 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 69A1 by 16⁰, multiply the second to last digit in 69A1 by 16¹, multiply the third to last digit in 69A1 by 16², multiply the fourth to last digit in 69A1 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
A × 16¹ = 160
9 × 16² = 2304
6 × 16³ = 24576

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 + 160 + 2304 + 24576 = 27041

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.

27041 ÷ 2 = 13520 with 1 remainder
13520 ÷ 2 = 6760 with 0 remainder
6760 ÷ 2 = 3380 with 0 remainder
3380 ÷ 2 = 1690 with 0 remainder
1690 ÷ 2 = 845 with 0 remainder
845 ÷ 2 = 422 with 1 remainder
422 ÷ 2 = 211 with 0 remainder
211 ÷ 2 = 105 with 1 remainder
105 ÷ 2 = 52 with 1 remainder
52 ÷ 2 = 26 with 0 remainder
26 ÷ 2 = 13 with 0 remainder
13 ÷ 2 = 6 with 1 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 69A1 hexadecimal to binary:

69A1 hexadecimal = 110100110100001 binary

Hexadecimal to Binary Converter
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69A2 hexadecimal to binary
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