8342 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8342 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 8342 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8342 by 16⁰, multiply the second to last digit in 8342 by 16¹, multiply the third to last digit in 8342 by 16², multiply the fourth to last digit in 8342 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
4 × 16¹ = 64
3 × 16² = 768
8 × 16³ = 32768

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:

2 + 64 + 768 + 32768 = 33602

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.

33602 ÷ 2 = 16801 with 0 remainder
16801 ÷ 2 = 8400 with 1 remainder
8400 ÷ 2 = 4200 with 0 remainder
4200 ÷ 2 = 2100 with 0 remainder
2100 ÷ 2 = 1050 with 0 remainder
1050 ÷ 2 = 525 with 0 remainder
525 ÷ 2 = 262 with 1 remainder
262 ÷ 2 = 131 with 0 remainder
131 ÷ 2 = 65 with 1 remainder
65 ÷ 2 = 32 with 1 remainder
32 ÷ 2 = 16 with 0 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 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 8342 hexadecimal to binary:

8342 hexadecimal = 1000001101000010 binary

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8343 hexadecimal to binary
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