Question

Convert the following Decimal numbers to its equivalent Binary, Octal, Hexadecimal.
1) 1920
2) 255
3) 126

Answer 1

110000100

372

182

gg6

y468

5rdt

Answer 2

1) 1920

Binary = 11110000000

Octal = 3600

Hexadecimal = 780

2) 255

Binary = 11111111

Octal = 377

Hexadecimal = FF

3) 126

Binary = 1111110

Octal = 176

Hexadecimal = 7E

Conversion:

1) 1920

Binary

• Divide (1920)10 successively by 2 until the quotient is 0
• Read from the bottom (MSB) to top (LSB) as 11110000000.
• So, 11110000000 is the binary equivalent of decimal number 1920

Octal

• Divide (1920)10 successively by 8 until the quotient is 0
• Read from the bottom (MSB) to top (LSB) as 3600.
• So, 3600 is the octal equivalent to the decimal number 1920

Hexadecimal

• Divide (1920)10 successively by 16 until the quotient is 0
• Read from the bottom (MSB) to top (LSB) as 780.
• So, 780 is the hexadecimal equivalent of decimal number 1920

2) 255

Binary

• Divide (255)10 successively by 2 until the quotient is 0
• Read from the bottom (MSB) to top (LSB) as 11111111.
• So, 11111111 is the binary equivalent of decimal number 255

Octal

• Divide (255)10 successively by 8 until the quotient is 0
• Read from the bottom (MSB) to top (LSB) as 377.
• So, 377 is the octal equivalent to the decimal number 255

Hexadecimal

• Divide (255)10 successively by 16 until the quotient is 0
• Read from the bottom (MSB) to top (LSB) as FF
• So, FF is the hexadecimal equivalent of decimal number 255

3) 126

Binary

• Divide (126)10 successively by 2 until the quotient is 0
• Read from the bottom (MSB) to top (LSB) as 1111110.
• So, 1111110 is the binary equivalent of decimal number 126

Octal

• Divide (126)10 successively by 8 until the quotient is 0
• Read from the bottom (MSB) to top (LSB) as 176.
• So, 176 is the octal equivalent to the decimal number 126

Hexadecimal

• Divide (126)10 successively by 16 until the quotient is 0
• Read from the bottom (MSB) to top (LSB) as 7E.
• So, 7E is the hexadecimal equivalent of decimal number 126