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IS-Dev Kit-8 User’s Manual
7850 East Gelding Drive ? Scottsdale, AZ 85260-3420
Base-2 numbering system (binary)
The numbering system to accommodate the computer logic is called binary or base 2. Each digit of binary can
be 0 or 1.
Table 2, Base- 2
Value in base-2
10000 1000
100
10
1
Digit x
Multiplication
2 (N-1)
…
…
2 4 =16
2 3 =8
2 2 =4
2 1 =2
2 0 =1
for converting to
decimal
Digit order
Nth
digit
….
….
Fifth
digit
Fourth
digit
Third
digit
Second First
digit
digit
Example: The value of each digit of the Base-2 number 1010 is as follow:
Fourth digit:
Third digit:
Second digit:
First digit:
1 with (4-1) zero =
0 with (3-1) zero =
1 with (2-1) zero =
0 with (1-1) zero =
1000
0
10
0
To convert a base-2 number to decimal, multiply each digit by multiplier and add them together:
Example: converting base-2 number 1010 to decimal is as follow:
(1 x 8) + (0 x 4) + (1 x 2) + (0 x 1) = 10
To convert a decimal number to base-2 number
---divide the decimal number by 2, the remainder is the first digit of the base-2 number
--- continue dividing quotient by 2 and put the remainder as the next digit until the quotient is equal 0.
Example: Convert the decimal number 21 to base-2
21 divide by 2 = 10 with 1 remainder
10 divide by 2 = 5 with 0 remainder
5 divide by 2 = 2 with 1 remainder
2 divide by 2 = 1 with 0 remainder
1 divide by 2 = 0 with 1 remainder
First digit = 1
Second digit = 0
Third digit = 1
Fourth digit = 0
Fifth digit = 1
21 decimal = 10101 base-2 or binary
The base-2 number 10101 reads as one zero one zero one.
IS-Dev Kit 8 Users Manual D.doc
Toll Free 1.877.2BUYNKK (877.228.9655) ? Phone 480.991.0942 ? Fax 480.998.1435
www.nkkswitches.com ? Email engineering@nkkswitches.com
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