Convert Binary Numbers to Hexadecimal

How do you convert binary numbers into n-digit hexadecimal numbers?

1. Convert binary 101 into 2-digit hexadecimal.

2. Convert binary 10110110 into 2-digit hexadecimal.

3. Convert binary 010111100011 into 4-digit hexadecimal.

4. Convert binary 110111000110010000000 into 8-digit hexadecimal.

Conversion of Binary to Hexadecimal

To convert binary numbers into n-digit hexadecimal numbers, we need to group the binary digits into sets of four from right to left. We then convert each group of four binary digits into their corresponding hexadecimal value.

Binary to hexadecimal conversion involves grouping binary digits into sets of four, starting from the right side, to make the conversion process easier. If the number of digits in the binary number is not a multiple of 4, you can add zeros to the left to complete the groupings.

For example, let's convert the binary numbers given in the question:

Conversion Process:

1. Binary 101:

Grouping: 0101

Hexadecimal Equivalent: Ox05

2. Binary 10110110:

Grouping: 1011 0110

Hexadecimal Equivalent: OxB6

3. Binary 010111100011:

Grouping: 0001 0111 1000 0011

Hexadecimal Equivalent: Ox1783

4. Binary 110111000110010000000:

Grouping: 0001 1011 1000 0110 0100 0000 0000 0000

Hexadecimal Equivalent: Ox1B864000

By following this method, you can convert any binary number into its hexadecimal equivalent. Each group of four binary digits represents one hexadecimal digit, making the conversion process straightforward.