Convert thefollowing decimal number to its equivalent binary, octal, hexadecimal 255

Binary: 11111111

Octal: 377

Hexadecimal: FF

Explanation:

Given

Decimal Number: 255

Required

Convert to

- Binary

- Octal

- Hexadecimal

Converting to binary...

To convert to binary, we take note of the remainder when the quotient is divided by 2 until the quotient becomes 0;

255/2 = 127 R 1

127/2 = 63 R 1

63/2 = 31 R 1

31/2 = 15 R 1

15/2 = 7 R 1

7/2 = 3 R 1

3/2 = 1 R 1

1/2 = 0 R 1

By writing the remainder from bottom to top, the binary equivalent is 11111111

Converting to octal...

To convert to octal, we take note of the remainder when the quotient is divided by 8 until the quotient becomes 0;

255/8 = 31 R 7

31/8 = 3 R 7

3/8 = 0 R 3

By writing the remainder from bottom to top, the octal equivalent is 377

Converting to hexadecimal...

To convert to hexadecimal, we take note of the remainder when the quotient is divided by 16 until the quotient becomes 0;

255/16 = 15 R 15

15/16 = 0 R 15

In hexadecimal, 15 is represented by F; So, the above division can be rewritten as

255/16 = 15 R F

15/16 = 0 R F

By writing the remainder from bottom to top, the hexadecimal equivalent is FF

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