Question

Convert 65(10) to binary, octal and hexadecimal​

Answer 1

Answer:

Step by step solution

Step 1: Look up each octal digit to obtain the equivalent group of three binary digits. You can use the table below to make these conversions.

Octal to Binary Conversion Table

Oct: 0 1 2 3 4 5 6 7

Bin: 000 001 010 011 100 101 110 111

(6)8 = (110)2

(5)8 = (101)2

Step 2: Group each value of step 1 to make a binary number.

110 101

(65)8 = (110101)2

Step 3: Now convert the binary number from step 2 to hexa by grouping all the digits of the binary in sets of four starting from the LSB (far right).

0011 0101

Note: add zeros to the left of the last digit if there aren't enough digits to make a set of four.

Step 4: Convert each group of four to the corresponding hexadecimal (use the table below),

0011=3, 0101=5.

So, the octal 65 is equivalent to 35 in hexadecimal.

To convert from binary to hexadecimal use the following table:

Bin: 0000 0001 0010 0011 0100 0101 0110 0111

Hexa: 0 1 2 3 4 5 6 7

Bin: 1000 1001 1010 1011 1100 1101 1110 1111

Hexa: 8 9 A B C D E F

Answer 2

Explanation:

(65)8 = (35)16

Step by step solution

Step 1: Look up each octal digit to obtain the equivalent group of three binary digits. You can use the table below to make these conversions.

Octal to Binary Conversion Table

Oct: 0 1 2 3 4 5 6 7

Bin: 000 001 010 011 100 101 110 111

(6)8 = (110)2

(5)8 = (101)2

Step 2: Group each value of step 1 to make a binary number.

110 101

(65)8 = (110101)2

Step 3: Now convert the binary number from step 2 to hexa by grouping all the digits of the binary in sets of four starting from the LSB (far right).

0011 0101

Note: add zeros to the left of the last digit if there aren't enough digits to make a set of four.

Step 4: Convert each group of four to the corresponding hexadecimal (use the table below),

0011=3, 0101=5.

So, the octal 65 is equivalent to 35 in hexadecimal.