
Here we will show you how to convert the hexadecimal number 62C1 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 62C1 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 62C1 by 16⁰, multiply the second to last digit in 62C1 by 16¹, multiply the third to last digit in 62C1 by 16², multiply the fourth to last digit in 62C1 by 16³, and so on, until all the digits are used.
1 × 16⁰ = 1
C × 16¹ = 192
2 × 16² = 512
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 + 192 + 512 + 24576 = 25281
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.
25281 ÷ 2 = 12640 with 1 remainder
12640 ÷ 2 = 6320 with 0 remainder
6320 ÷ 2 = 3160 with 0 remainder
3160 ÷ 2 = 1580 with 0 remainder
1580 ÷ 2 = 790 with 0 remainder
790 ÷ 2 = 395 with 0 remainder
395 ÷ 2 = 197 with 1 remainder
197 ÷ 2 = 98 with 1 remainder
98 ÷ 2 = 49 with 0 remainder
49 ÷ 2 = 24 with 1 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 62C1 hexadecimal to binary:
62C1 hexadecimal = 110001011000001 binary
Hexadecimal to Binary Converter
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62C2 hexadecimal to binary
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