Service manual

STP 11-25R13-SM-TG
Q - 11
(8) With the knowledge of place value, recognizing and counting binary numbers from 1 to 10 is
easy. Table Q-9 shows the relationship between the decimal and binary numbers 1 through 10.
Table Q-9. Relationship of Decimal and Binary Numbers
(9) Division can do conversion of decimal numbers into binary numbers. Divide the decimal
number by the binary base number 2. Dividing a number of 2 produces a remainder of either 0 or 1,
which is the equivalent binary digit. The quotient of the first division process is divided by 2 and the
remainder is the next equivalent binary digit. This process is repeated until a quotient of 0 is obtained.
(10) Using this method, the conversion of the decimal number 10 is as follows:
Dividend
/
Divisor
= Quotient Remainder
10
/
2
= 5 0
5
/
2
= 2 1
2
/
2
= 1 0
1
/
2
= 0 1
(11) The binary number is written horizontally left to right starting with the bottom binary digit. Thus
10
10
= 1010
2.
(12) Using the same method, but slightly different format (called short division), the same conversion
looks like this example.
Remainder
2 10
2 5 0
2 2 1
2 1 0
2 0 1
Again, 10
10
= 1010
2
.
Decimal Binary
1 = 1
2 = 10
3 = 11
4 = 100
5 = 101
6 = 110
7 = 111
8 = 1000
9 = 1001
10 = 1010