
Here we will show you how to convert the hexadecimal number 67D 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 67D from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 67D by 16⁰, multiply the second to last digit in 67D by 16¹, multiply the third to last digit in 67D by 16², multiply the fourth to last digit in 67D by 16³, and so on, until all the digits are used.
D × 16⁰ = 13
7 × 16¹ = 112
6 × 16² = 1536
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 + 1536 = 1661
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.
1661 ÷ 2 = 830 with 1 remainder
830 ÷ 2 = 415 with 0 remainder
415 ÷ 2 = 207 with 1 remainder
207 ÷ 2 = 103 with 1 remainder
103 ÷ 2 = 51 with 1 remainder
51 ÷ 2 = 25 with 1 remainder
25 ÷ 2 = 12 with 1 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 67D hexadecimal to binary:
67D hexadecimal = 11001111101 binary
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67E hexadecimal to binary
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