The binary number 11110101 can be converted into decimal, octal, and hexadecimal as follows:

1. Decimal Conversion:

The binary number 11110101 can be converted to decimal by expanding it as a sum of powers of 2.

$11110101_2 = (1 \times 2^7) + (1 \times 2^6) + (1 \times 2^5) + (1 \times 2^4) + (0 \times 2^3) + (1 \times 2^2) + (0 \times 2^1) + (1 \times 2^0)$

$= 128 + 64 + 32 + 16 + 0 + 4 + 0 + 1 = 245_{10}$

Thus, the decimal value of 11110101 is 245.

2. Octal Conversion:

To convert the binary number to octal, group the binary digits in sets of 3 from the right (adding leading zeros if needed):

$111\ 101\ 01_2 = 011\ 110\ 101_2$

Convert each group to its octal equivalent:

$011_2 = 3,\ 110_2 = 6,\ 101_2 = 5$

Thus, the octal value of 11110101 is 365₈.

3. Hexadecimal Conversion:

To convert the binary number to hexadecimal, group the binary digits in sets of 4 from the right:

$1111\ 0101_2$

Convert each group to its hexadecimal equivalent:

$1111_2 = F,\ 0101_2 = 5$

Thus, the hexadecimal value of 11110101 is F5₁₆.

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Related Questions:

1. How do you convert from binary to other number systems in general?
2. What are the steps for converting decimal numbers into binary or hexadecimal?
3. What is the advantage of using hexadecimal representation in computing?
4. How are octal and hexadecimal representations used in programming?
5. Can you explain the relationship between octal and hexadecimal conversions?

Tip:

When converting binary to hexadecimal, remember that every 4 binary digits correspond to one hexadecimal digit, making it a very efficient conversion.