Keep the counter
Load or resume BASIC using the instructions above, and begin at OK. If you continued directly from the previous lesson, keep its program and skip the setup block below. It should print 1 through 5.
If you are starting here or returning from a different lesson, type NEW and enter this program. Type one numbered line at a time, pressing Enter and waiting for its complete echo before the next:
Type, then Enter
NEWBASIC replies
OK
Type one line at a time, then Enter
10 FOR N=1 TO 5
20 PRINT N
30 NEXT N
50 ENDWe already have a way to visit each number. Now we want to add those numbers
together, keeping what we have added so far. We will call that total T.
Add to what we already have
Add line 5, replace line 20, and add line 40:
Type one line at a time, then Enter
5 LET T=0
20 LET T=T+N
40 PRINT TBefore the loop starts, line 5 sets T to zero: nothing has been added yet.
Each time through the loop, LET T=T+N adds the current N to the old T,
then stores the result back in T.
This works like LET N=N+1 in the counting lesson. We calculate from an
old value and replace it with a new one. Here the amount being added is
the current value of another variable, N.
LIST shows where the new instructions sit:
Type, then Enter
LISTBASIC replies
5 LET T=0 10 FOR N=1 TO 5 20 LET T=T+N 30 NEXT N 40 PRINT T 50 END OK
Line 20 is inside the loop, so it adds something on every trip. Line 40 is after NEXT, so it prints only when the loop has finished.
Predict the total. What is 1 + 2 + 3 + 4 + 5?
Type, then Enter
RUNBASIC replies
15 OK
Two variables, two jobs
N selects the number being added. T remembers the sum so far. Follow them through the five trips to line 20:
| N to add | T before the addition | T after the addition |
|---|---|---|
| 1 | 0 | 1 |
| 2 | 1 | 3 |
| 3 | 3 | 6 |
| 4 | 6 | 10 |
| 5 | 10 | 15 |
When N is 3, for example, T already holds 1 + 2, which is 3. Line 20 adds the new 3 to that earlier total and stores 6. It does not replace the total with N alone.
After the last addition, NEXT changes N from 5 to 6 and ends the loop. There is no trip to line 20 with N equal to 6, so 6 is never added to T. Check both values at OK:
Type, then Enter
PRINT NBASIC replies
6 OK
Type, then Enter
PRINT TBASIC replies
15 OK
Changing N did not change T automatically. T changed only when BASIC executed an instruction assigning it a value.
Start each total at zero
What will another RUN print: 15 or 30?
Type, then Enter
RUNBASIC replies
15 OK
Each run reaches line 5 before the loop, so it starts a new total at zero.
Trips around the loop return to line 20, leaving T available for the next
addition. If we put LET T=0 inside the loop, it would throw away the
earlier additions on every trip.
Try a shorter count by changing only the limit on line 10:
Type one line at a time, then Enter
10 FOR N=1 TO 3
RUNBASIC replies
6 OK
This run adds 1 + 2 + 3. It starts its own total rather than adding to the 15 left by the previous run.
Add up ticket purchases
Return to the idea from the repeating ticket program. Each ticket costs 2 pounds. Someone can enter several purchases, then enter zero to finish. We will print each purchase's price and keep the total to show at the end.
Type NEW to clear the counting program, then enter these lines one at a time. The familiar ticket program now has a starting total on line 5, an addition on line 35, and a total to print on lines 60 and 65:
Type, then Enter
NEWBASIC replies
OK
Type one line at a time, then Enter
5 LET T=0
10 PRINT "HOW MANY TICKETS (0 TO FINISH)"
20 INPUT N
22 IF N<0 THEN 80
25 IF N=0 THEN 60
30 PRINT N*2
35 LET T=T+N*2
40 GOTO 10
60 PRINT "TOTAL POUNDS"
65 PRINT T
70 END
80 PRINT "PLEASE USE ZERO OR MORE"
90 GOTO 10N now comes from INPUT. It holds the number of tickets in the current purchase. T holds pounds, the combined price of all accepted purchases in this run.
On line 35, BASIC works out N*2 first, then adds that price to the old T.
Both GOTOs return to line 10, so they pass over the instruction that clears
T on line 5. The total survives while the program asks its next question.
The negative and zero tests happen before the addition. A negative answer gets an explanation and another question. Zero goes to the final total. Neither path adds a price.
Predict the total for 3, -1, 1, then 0. Enter each answer only when the question mark appears:
Type, then Enter
RUNBASIC replies
HOW MANY TICKETS (0 TO FINISH) ?
Type, then Enter
3BASIC replies
6 HOW MANY TICKETS (0 TO FINISH) ?
Type, then Enter
-1BASIC replies
PLEASE USE ZERO OR MORE HOW MANY TICKETS (0 TO FINISH) ?
Type, then Enter
1BASIC replies
2 HOW MANY TICKETS (0 TO FINISH) ?
Type, then Enter
0BASIC replies
TOTAL POUNDS 8 OK
Three tickets cost 6 pounds, and one more costs 2 pounds. The rejected negative answer left the total unchanged. Together the accepted purchases cost 8 pounds; the separate prices printed along the way were 6 and 2.
Check a new run and an empty one
Start another run, buy two tickets, and finish:
Type, then Enter
RUNBASIC replies
HOW MANY TICKETS (0 TO FINISH) ?
Type, then Enter
2BASIC replies
4 HOW MANY TICKETS (0 TO FINISH) ?
Type, then Enter
0BASIC replies
TOTAL POUNDS 4 OK
The total is 4, not 12. Line 5 started it at zero, so the 8 pounds from the earlier run did not carry over.
What if we finish before buying anything?
Type, then Enter
RUNBASIC replies
HOW MANY TICKETS (0 TO FINISH) ?
Type, then Enter
0BASIC replies
TOTAL POUNDS 0 OK
No purchase reached line 35. The total is still the zero we started with. While a question mark is showing, answer with a number; at OK, BASIC is ready for another command. Leave the browser's processor RUN control running during these conversations.
As before, this program expects whole numbers of tickets. It rejects negative answers but still has no check for positive fractions.
The FOR loop supplied a fixed sequence of numbers. The ticket program receives an open-ended sequence of purchases. In both, a separate variable keeps the result of earlier additions available for the next one.
You can keep experimenting in the terminal. This tab carries the BASIC machine and program between these lessons, including a visit to All lessons, and restores them paused after a refresh. Press the browser's RUN button to continue. Start fresh discards the program and reloads the retained tape. Copy your numbered lines somewhere for a lasting copy; browser session storage is temporary.
The machine guide (opens in a new tab) explains the hardware, loading process, and recovery controls. These lessons use that same machine and original interpreter.