Question

Convert 110101011010 to base 16, base 8 and base 4.

2. Convert 0110 0011 1010 to base 10 using the binary long division method.

3. Convert 110100110 to base 5 using binary long division.

4. Convert 12102221203 to base 9.

5. Convert 335410 to base 2.

Answer 1

Dear student, according to the question, the solution is as follows:

1) Convert 110101011010 to base 16, base 8 and base 4.

Base 16(HexaDecimal): For base 16, we will group the binary digits as a group of 4 bits from LSB to MSB as below.

1101 0101 1010 -------> 13 5 10----> (D5A)₁₆  

(Note: In Hexadecimal format, 10 means A, 11 means B, 12 means C, 13 means D, 14 means E and 15 means F).

Base 8(Octal):  For base 8, we will group the binary digits as a group of 3 bits from LSB to MSB as below.

110 101 011 010 ------> (6532)₈

Base 4(Nibble): For base 4, we will group the binary digits as a group of 4 bits from LSB to MSB as below.

11 01 01 01 10 10 ------> (311122)4

4) Convert 12102221203 to base 9.

5) Convert 335410 to base 2.

The answer is: 1010001111000110010

Sorry for the rest of the questions,

Didn't understand properly, whether I need to perform the division or Conversion to base 10.

Thank you, All the best.