ICT-2013 Md. Yousuf Ali, Lecturer, ICT, Purba Mallikpur H.S. College

Slide No: 1/6

Common Number Systems

System Base SymbolsUsed by humans?

Used in computers?

Binary 2 0, 1 No Yes

Octal 8 0, 1, 2, 3, 4, 5, 6, 7 No No/Yes

Decimal 10 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 Yes No

Hexa-decimal

16 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

A, B, C, D, E, F

No No/Yes

ICT-2013 Md. Yousuf Ali, Lecturer, ICT, Purba Mallikpur H.S. College

Slide No: 2/6অনু�শী�লনু

Binary Decimal Octal Decimal Hex Decimal

10111 34 8111000 150 1C11100 211 5CD

10000001 5322 D2F10111101 8765 D2FF1111001010

1876543 AD2FE

ICT-2013 Md. Yousuf Ali, Lecturer, ICT, Purba Mallikpur H.S. College

Slide No: 3/6ভগ্নাংশী / Fractions

• Decimal to decimal

3.14 => 4 x 10-2 = 0.041 x 10-1 = 0.1

3 x 100 = 3 3.14

ICT-2013 Md. Yousuf Ali, Lecturer, ICT, Purba Mallikpur H.S. College

Slide No: 4/6ভগ্নাংশী / Fractions

• Binary to decimal

10.1011 => 1 x 2-4 = 0.06251 x 2-3 = 0.1250 x 2-2 = 0.01 x 2-1 = 0.50 x 20 = 0.01 x 21 = 2.0 2.6875

ICT-2013 Md. Yousuf Ali, Lecturer, ICT, Purba Mallikpur H.S. College

Slide No: 5/6অনু�শী�লনু

Binary Decimal

0.1101

0.110

0.101

0.011

.001

0.11

ICT-2013 Md. Yousuf Ali, Lecturer, ICT, Purba Mallikpur H.S. College

Slide No: 6/6

Thank you