929A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 929A 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 929A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 929A by 16⁰, multiply the second to last digit in 929A by 16¹, multiply the third to last digit in 929A by 16², multiply the fourth to last digit in 929A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
9 × 16¹ = 144
2 × 16² = 512
9 × 16³ = 36864

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:

10 + 144 + 512 + 36864 = 37530

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.

37530 ÷ 2 = 18765 with 0 remainder
18765 ÷ 2 = 9382 with 1 remainder
9382 ÷ 2 = 4691 with 0 remainder
4691 ÷ 2 = 2345 with 1 remainder
2345 ÷ 2 = 1172 with 1 remainder
1172 ÷ 2 = 586 with 0 remainder
586 ÷ 2 = 293 with 0 remainder
293 ÷ 2 = 146 with 1 remainder
146 ÷ 2 = 73 with 0 remainder
73 ÷ 2 = 36 with 1 remainder
36 ÷ 2 = 18 with 0 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 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 929A hexadecimal to binary:

929A hexadecimal = 1001001010011010 binary

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929B hexadecimal to binary
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