
Here we will show you how to convert the hexadecimal number 794A 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 794A from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 794A by 16⁰, multiply the second to last digit in 794A by 16¹, multiply the third to last digit in 794A by 16², multiply the fourth to last digit in 794A by 16³, and so on, until all the digits are used.
A × 16⁰ = 10
4 × 16¹ = 64
9 × 16² = 2304
7 × 16³ = 28672
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 + 64 + 2304 + 28672 = 31050
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.
31050 ÷ 2 = 15525 with 0 remainder
15525 ÷ 2 = 7762 with 1 remainder
7762 ÷ 2 = 3881 with 0 remainder
3881 ÷ 2 = 1940 with 1 remainder
1940 ÷ 2 = 970 with 0 remainder
970 ÷ 2 = 485 with 0 remainder
485 ÷ 2 = 242 with 1 remainder
242 ÷ 2 = 121 with 0 remainder
121 ÷ 2 = 60 with 1 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 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 794A hexadecimal to binary:
794A hexadecimal = 111100101001010 binary
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794B hexadecimal to binary
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