1/19/2008
Copyright
2005 – Tim Hoerning
Number System Comparison
•Example:
Decimal
•Each column in
the number represents
a different power of 10
•1237 =
• 1 * 103 = 1*1000 +
• 2 * 102 = 2*100 +
• 3 * 101 = 3*10 +
• 7 * 100 = 7*1
•
•Example:
Binary
•Each column in
the number represents
a different power of 2
•10011010101 =
• 1 * 210 =
1*1024
• 0 * 29 = 0*512
• 0 * 28 = 0*256
• 1 * 27 = 1*128
• 1 * 26 = 1*64
• 0 * 25 = 0*32
• 1 * 24 = 1*16
• 0 * 23 = 0*8
• 1 * 22 = 1*4
• 0 * 21 = 0*2
• 1 * 20 = 1*2
•
The
bit on the left is the most significant bit (MSB) because it represents
the largest value in the number. The bit on the right
is the least significant bit (LSB)