61B7 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 61B7 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 61B7 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 61B7 by 16⁰, multiply the second to last digit in 61B7 by 16¹, multiply the third to last digit in 61B7 by 16², multiply the fourth to last digit in 61B7 by 16³, and so on, until all the digits are used.

7 × 16⁰ = 7
B × 16¹ = 176
1 × 16² = 256
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:

7 + 176 + 256 + 24576 = 25015

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.

25015 ÷ 2 = 12507 with 1 remainder
12507 ÷ 2 = 6253 with 1 remainder
6253 ÷ 2 = 3126 with 1 remainder
3126 ÷ 2 = 1563 with 0 remainder
1563 ÷ 2 = 781 with 1 remainder
781 ÷ 2 = 390 with 1 remainder
390 ÷ 2 = 195 with 0 remainder
195 ÷ 2 = 97 with 1 remainder
97 ÷ 2 = 48 with 1 remainder
48 ÷ 2 = 24 with 0 remainder
24 ÷ 2 = 12 with 0 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 61B7 hexadecimal to binary:

61B7 hexadecimal = 110000110110111 binary

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61B8 hexadecimal to binary
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