DC61 hexadecimal to binary

Here we will show you how to convert the hexadecimal number DC61 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 DC61 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DC61 by 16⁰, multiply the second to last digit in DC61 by 16¹, multiply the third to last digit in DC61 by 16², multiply the fourth to last digit in DC61 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
6 × 16¹ = 96
C × 16² = 3072
D × 16³ = 53248

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 + 96 + 3072 + 53248 = 56417

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.

56417 ÷ 2 = 28208 with 1 remainder
28208 ÷ 2 = 14104 with 0 remainder
14104 ÷ 2 = 7052 with 0 remainder
7052 ÷ 2 = 3526 with 0 remainder
3526 ÷ 2 = 1763 with 0 remainder
1763 ÷ 2 = 881 with 1 remainder
881 ÷ 2 = 440 with 1 remainder
440 ÷ 2 = 220 with 0 remainder
220 ÷ 2 = 110 with 0 remainder
110 ÷ 2 = 55 with 0 remainder
55 ÷ 2 = 27 with 1 remainder
27 ÷ 2 = 13 with 1 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 DC61 hexadecimal to binary:

DC61 hexadecimal = 1101110001100001 binary

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DC62 hexadecimal to binary
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