3B7D hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3B7D 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 3B7D from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3B7D by 16⁰, multiply the second to last digit in 3B7D by 16¹, multiply the third to last digit in 3B7D by 16², multiply the fourth to last digit in 3B7D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
7 × 16¹ = 112
B × 16² = 2816
3 × 16³ = 12288

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:

13 + 112 + 2816 + 12288 = 15229

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.

15229 ÷ 2 = 7614 with 1 remainder
7614 ÷ 2 = 3807 with 0 remainder
3807 ÷ 2 = 1903 with 1 remainder
1903 ÷ 2 = 951 with 1 remainder
951 ÷ 2 = 475 with 1 remainder
475 ÷ 2 = 237 with 1 remainder
237 ÷ 2 = 118 with 1 remainder
118 ÷ 2 = 59 with 0 remainder
59 ÷ 2 = 29 with 1 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 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 3B7D hexadecimal to binary:

3B7D hexadecimal = 11101101111101 binary

Hexadecimal to Binary Converter
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3B7E hexadecimal to binary
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