So, this number represents 128, plus 16, plus 8, plus
2??”154 in base 10.
We can calculate in base 2 after learning the ???math facts??? for binary math. You learned the math facts
for base 10 when you studied your addition, subtraction, and multiplication tables in elementary school.
The base-2 math facts are even simpler:
0 + 0 = 0
0 + 1 = 1
1 + 1 = 10 (remember, this means 2; and also 0 carry 1 to the next column)
Let??™s add the binary value of 1100 to 0110:
1100 (12 in base 10)
0110 (6 in base 10)
10010 (18 in base 10)
rightmost digit: 0 + 0 = 0
next rightmost: 0 + 1 = 1
next rightmost: 1 + 1 = 10 (or 0 carry 1)
next rightmost: carried 1 + 1 + 0 = 10 (or 0 carry 1)
last digit: 1 (from the carry)
So, any kind of addition can be carried out using the binary number system, and the result will mean
the same quantity as the result from using base 10. The numbers look different, but the quantities mean the
same value.
COMPUTER WORD SIZE
Each computer deals with a certain number of bits at a time. The early hobbyist computers manipulated
8 bits at a time, and so were called ???8-bit computers.??? Another way to say this was that the computer ???word size???
was 8 bits. The computer might be programmed to operate on more than 8 bits, but its basic operations dealt
with 8 bits at a time.
Pages:
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93