Converting number systems

Converting number systems

• There are 4 different number systems:
• Decimal (Base- 10) : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
• Binary (Base - 2) : 0, 1
• Octal (Base 8) : 0, 1, 2, 3, 4, 5, 6, 7, 8
• Hexadecimal (Base 16) : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F

Convert Decimal to Binary

• (27)10 --> (?)2
• Base Quo Rem
• 2 26 0
• 2 13 1
• 2 6 0
• 2 3 1
• 2 1 1
• 0
• Ans : 1011 (Note: The order of the remainders is reversed.)

Convert Decimal to Octal

• (876)10 --> (?)8
• Base Quo Rem
• 8 876 4
• 8 109 5
• 8 13 5
• 8 1 1
• 0
• Ans: 1554