Question

How do you convert from binary to hexadecimal (Base-16)?

1) Divide the binary number into groups of 4 bits each and convert each group to its equivalent hexadecimal digit
2) Multiply the binary number by 16 and convert the result to hexadecimal
3) Subtract the binary number from 16 and convert the difference to hexadecimal
4) Convert each binary digit to its equivalent hexadecimal digit

Answer 1

To convert from binary to hexadecimal, divide the binary number into groups of four bits and use a conversion table to find the equivalent hexadecimal digit for each group.

Step-by-step explanation:

To convert from binary to hexadecimal (Base-16), the correct method is to divide the binary number into groups of 4 bits each. Each group of 4 bits can directly be converted to its equivalent hexadecimal digit using a simple conversion table. Here's how you can perform the conversion:

• Start from the right end of the binary number and separate it into groups of four bits. If the leftmost group has less than four bits, add leading zeros to make it a full group.
• Convert each group of four bits to its corresponding hexadecimal digit using the conversion table, which is 0 through 9 for 0000 to 1001 and A through F for 1010 to 1111.
• Write down the hexadecimal digits in the same order as the binary groups to get the final hexadecimal number.

For example, if we want to convert the binary number 10110110 to hexadecimal, we first divide it into two groups: [1011] [0110]. From the binary to hexadecimal conversion table, 1011 is B and 0110 is 6, so the hexadecimal equivalent is B6.