**Hexadecimal numbers to binary and decimal.**

## (i)Converting hexadecimal numbers to binary and decimal.

To convert the hexadecimal range F4 to binary, we want to replace every hexadecimal digit with its equal 4-bit binary value.

**F = 1111 **

**4 = 0100 **

Therefore, (F4)sixteen in binary is 1111 0100.

To convert the hexadecimal wide variety F4 to decimal, we want to multiply every hexadecimal digit with the aid of its corresponding power of 16, after which sum up the effects.

**F = 15 **

**four = four**

**15 × 16^1 + 4 × sixteen^zero = 240 + 4 = 244 **

Therefore, (F4)16 in decimal is 244.

**(ii) Conversion of (AC)16 to Binary and Decimal:**

To convert the hexadecimal quantity AC to binary, we want to replace each hexadecimal digit with its equivalent four-bit binary price.

**A = 1010 **

**C = 1100**

Therefore, (AC)16 in binary is 1010 1100.

To convert the hexadecimal wide variety AC to decimal, we want to multiply each hexadecimal digit through its corresponding power of 16, after which sum up the effects.

**A = 10 **

**C = 12 **

**10 × sixteen^1 + 12 × 16^0 = one hundred sixty + 12 = 172 **

Therefore, (AC)16 in decimal is 172.