Number Representation
Unsigned Binary Numbers
 Digits: 0  1

 How many numbers can be represented with
one digit? 2
 Maximum value represented with
one digit? 1
 What's the next number? 10_{2}
( = 2_{10})
 Maximum value represented with
two digits? 11_{2}
( = 3_{10})
 What's the next number? 100_{2}
( = 4_{10})

 Minimum value represented in an 8bit
byte?
00000000_{2}
( = 0)
 Maximum value represented in an 8bit
byte?
11111111_{2}
( = 255_{10})
2^{7}  2^{6} 
2^{5}  2^{4} 
2^{3}  2^{2} 
2^{1}  2^{0} 
1 * 128  1 * 64  1 * 32  1 * 16 
1 * 8  1 * 4  1 * 2  1 * 1 
( = 255_{10}) 
 What's the next number?
needs another byte!

 Minimum value represented in a 32bit
(fourbyte) word?
00000000 00000000 00000000 00000000_{2}
( = 0)
 Maximum value represented in a 32bit
(fourbyte) word?
11111111 11111111 11111111 11111111_{2}
( = 2^{32}  1)
Alyce Brady, Kalamazoo College