To convert the binary number 10101.11 to hexadecimal, we first need to convert it to decimal.

Step 1: Convert the binary number to decimal.

The binary number 10101.11 can be broken down as follows:

1*2^4 + 0*2^3 + 1*2^2 + 0*2^1 + 1*2^0 + 1*2^-1 + 1*2^-2

= 16 + 0 + 4 + 0 + 1 + 0.5 + 0.25

= 21.75 in decimal.

Step 2: Convert the decimal number to hexadecimal.

To convert 21.75 to hexadecimal, we separate the whole number from the fraction.

21 in decimal is 15 in hexadecimal, which is written as '15'.

To convert the fraction 0.75 to hexadecimal, we multiply by 16.

0.75 * 16 = 12, which is 'C' in hexadecimal.

So, the hexadecimal equivalent of the binary number 10101.11 is 15.C.

Question

To convert the binary number 10101.11 to hexadecimal, we first need to convert it to decimal.

Step 1: Convert the binary number to decimal.

The binary number 10101.11 can be broken down as follows:

1*2^4 + 0*2^3 + 1*2^2 + 0*2^1 + 1*2^0 + 1*2^-1 + 1*2^-2

= 16 + 0 + 4 + 0 + 1 + 0.5 + 0.25

= 21.75 in decimal.

Step 2: Convert the decimal number to hexadecimal.

To convert 21.75 to hexadecimal, we separate the whole number from the fraction.

21 in decimal is 15 in hexadecimal, which is written as '15'.

To convert the fraction 0.75 to hexadecimal, we multiply by 16.

0.75 * 16 = 12, which is 'C' in hexadecimal.

So, the hexadecimal equivalent of the binary number 10101.11 is 15.C.

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