Binary To Decimal - HP NonStop NS-series Operation Manual

Converting Numbers

Binary to Decimal

To convert a binary number to a decimal number:
1. Starting from the right, multiply the least significant (rightmost) binary digit by the
first placeholder value. Moving towards the left, multiply each new binary digit by
its corresponding placeholder value until the binary number is exhausted.
To establish placeholder values, the first placeholder value (on the far right) is 1.
Then for each new placeholder value to the left, multiply the value to the right by 2.
2. Add the results of the multiplications in Step 1.
Example
Convert the binary value 11011 to its decimal equivalent. (In this example, the symbol
"*" indicates multiplication.) Refer to
Figure D-1. Binary to Decimal Conversion
Placeholder
values
Binary number
1. Take the rightmost binary digit and multiply it by the rightmost placeholder value.
2. Moving to the left, take the next binary digit and multiply it by the next placeholder
value. Continue to do this until the binary number has been exhausted.
3. Add the multiplied values together. The result is:
Binary Value
%B11011
HP Integrity NonStop NS-Series Operations Guide —529869-005
Figure
64 32 16
8
...
1 1
...
1 * 8
1 * 16
Decimal Value
27
D- 3
D-1.
4 2 1
0 1 1
= 1
1 * 1
1 * 2 = 2
0 * 4
= 0
= 8
= 16
27
CDT
Binary to Decimal
607 .CDD