Question

Convert from hex to octal:
a. 34BC
b. ABC3.FF23

Answer 1

To convert from hex to octal, first convert the hex number to binary, then group the binary number into sets of three digits and convert each set into an octal number. Finally, combine the octal numbers to get the final octal representation.

Step-by-step explanation:

To convert from hex to octal, you can use the following steps:

1. Convert the hex number to binary
2. Group the binary number into sets of three digits
3. Convert each set of three digits into an octal number
4. Combine the octal numbers to get the final octal representation

For example, for the hex number 34BC:
Step 1: 34BC16 = 0011 0100 1011 11002
Step 2: 0011 0100 1011 11002 (Grouped into sets of three: 001 101 001 011 110 0)
Step 3: Convert each set of three digits to octal: 13508
Step 4: Combine the octal numbers: 13508

Therefore, the octal representation of 34BC16 is 13508.

Similarly, for the hex number ABC3.FF23:
Step 1: ABC3.FF2316 = 1010 1011 1100 0011.1111 1111 0010 00112
Step 2: 1010 1011 1100 0011.1111 1111 0010 00112 (Grouped into sets of three: 101 010 111 100 001 1.111 111 111 001 000 11)
Step 3: Convert each set of three digits to octal: 5271.7771 1.218
Step 4: Combine the octal numbers: 5271.7771 1.218

Therefore, the octal representation of ABC3.FF2316 is 5271.7771 1.218.

Answer 2

To convert from hex to octal, first convert the hex number to binary, then group the binary number into sets of three digits and convert each set into an octal number. Finally, combine the octal numbers to get the final octal representation.

Step-by-step explanation:

To convert from hex to octal, you can use the following steps:

1. Convert the hex number to binary
2. Group the binary number into sets of three digits
3. Convert each set of three digits into an octal number
4. Combine the octal numbers to get the final octal representation

For example, for the hex number 34BC:
Step 1: 34BC16 = 0011 0100 1011 11002
Step 2: 0011 0100 1011 11002 (Grouped into sets of three: 001 101 001 011 110 0)
Step 3: Convert each set of three digits to octal: 13508
Step 4: Combine the octal numbers: 13508

Therefore, the octal representation of 34BC16 is 13508.

Similarly, for the hex number ABC3.FF23:
Step 1: ABC3.FF2316 = 1010 1011 1100 0011.1111 1111 0010 00112
Step 2: 1010 1011 1100 0011.1111 1111 0010 00112 (Grouped into sets of three: 101 010 111 100 001 1.111 111 111 001 000 11)
Step 3: Convert each set of three digits to octal: 5271.7771 1.218
Step 4: Combine the octal numbers: 5271.7771 1.218

Therefore, the octal representation of ABC3.FF2316 is 5271.7771 1.218.