Tutorial -2

Tutorial -2 - Number Representations Bases Base 16 10.1116...

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
Number Representations
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Bases Base 16 • 10.11 16 = (1*16 1 ) + (0*16 0 ) + (1*16 -1 ) + (1*16 -2 ) = 16.0664 10 Base 10 • 10.11 10 = (1*10 1 ) + (0*10 0 ) + (1*10 -1 ) + (1*10 -2 ) = 10.11 10 Base 7 • 10.11 7 = (1*7 1 ) + (0*7 0 ) + (1*7 -1 ) + (1*7 -2 ) = 7.16327 10 Base 5 • 10.11 5 = (1*5 1 ) + (0*5 0 ) + (1*5 -1 ) + (1*5 -2 ) = 5.24 10 Base 3 • 10.11 3 = (1*3 1 ) + (0*3 0 ) + (1*3 -1 ) + (1*3 -2 ) = 3.4444 10 Base 2 • 10.11 2 = (1*2 1 ) + (0*2 0 ) + (1*2 -1 ) + (1*2 -2 ) = 2.75 10
Background image of page 2
Binary numbers 1011b = 1*2 3 +0*2 2 +1*2 1 +1*2 0 = (8+2+1) 10 = 11 10 = B 16 Recall that: Binary has digits from set {0,1} Decimal has digits from the set {0,1,2…9} Hexadecimal has digits from {0,1,2. .,9,A…F}
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Decimal, Binary, Hexadecimal Decimal Binary Hex 0 0 0 1 1 1 2 10 2 3 11 3 4 100 4 5 101 5 6 110 6 7 111 7 Decimal Binary Hex 8 1000 8 9 1001 9 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F
Background image of page 4
Base Conversion CASE 1 From base A to base 10 Simply expand at base A and obtain the value for base 10 Ex: • 23.4 5 = (2*5) + (3*1) + (4*5 -1 ) = 13.8
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Division Remainder 23 2 7 1 2 2 0 Base Conversion CASE 2 From base 10 to base A
Background image of page 6
Image of page 7
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 19

Tutorial -2 - Number Representations Bases Base 16 10.1116...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online