The smaller (`<`

) operator returns true if its left operand is less than its right operand. It accepts numeric, date, and Boolean operands.

```
number < number
Boolean < Boolean
date < date
smaller(number, number)
smaller(Boolean, Boolean)
smaller(date, date)
```

You can also use the function version, `smaller()`

.

## Example Formulas

```
2 < 1 // Output: false
42 < 50 // Output: true
// Boolean values equate to 1 (true) and 0 (false).
false < true // Output: true
true < true // Output: false
// For dates, "less than" equates to "before".
now() < dateAdd(now(), 1, "months") // Output: true
```

**Good to know: **When comparing dates, “larger” = “later”.

**Good to know: **The smaller (`<`

) operator *cannot *be chained in a Notion formula. A formula like `1 < 2 < 3`

won’t work. Use the and operator to get around this – e.g. 1` < 2 and 2 < 3`

.

## Example Database

The example database below tracks votes amongst a pirate crew. For each issue, a quorum must be reached; at least 3 members must vote. Once a quorum is reached, only proposals that receive more **Yays** than **Nays** will be passed and enacted.

The **Result** formula displays the status of each proposal.

### View and Duplicate Database

### “Result” Property Formula

```
// Compressed
(+((not empty(prop("Luffy"))) ? true : false) + +((not empty(prop("Nami"))) ? true : false) + +((not empty(prop("Sanji"))) ? true : false) + +((not empty(prop("Zoro"))) ? true : false) < 3) ? "✋ Quorum Not Reached!" : ((+replaceAll(replaceAll(prop("Luffy"), "Nay", "-1"), "Yay", "1") + +replaceAll(replaceAll(prop("Nami"), "Nay", "-1"), "Yay", "1") + +replaceAll(replaceAll(prop("Sanji"), "Nay", "-1"), "Yay", "1") + +replaceAll(replaceAll(prop("Zoro"), "Nay", "-1"), "Yay", "1") < 1) ? "👎 Rejected" : "👍 Passed")
// Expanded
(
+((not empty(prop("Luffy"))) ? true : false) +
+((not empty(prop("Nami"))) ? true : false) +
+((not empty(prop("Sanji"))) ? true : false) +
+((not empty(prop("Zoro"))) ? true : false) < 3
) ?
"✋ Quorum Not Reached!" :
(
(+replaceAll(replaceAll(prop("Luffy"), "Nay", "-1"), "Yay", "1") +
+replaceAll(replaceAll(prop("Nami"), "Nay", "-1"), "Yay", "1") +
+replaceAll(replaceAll(prop("Sanji"), "Nay", "-1"), "Yay", "1") +
+replaceAll(replaceAll(prop("Zoro"), "Nay", "-1"), "Yay", "1") < 1) ?
"👎 Rejected" :
"👍 Passed"
)
```

This vote tracker works by giving each group member their own **Yay/Nay** property. A **Select** property is used because there are actually *three* potential states for each crew member’s vote:

- Yay
- Nay
- Abstained/didn’t vote

Therefore, a Boolean/Checkbox property won’t work here.

The formula first checks that each member’s vote is not empty, using the empty function and the not operator. “Not empty” returns a value of `true`

, which is converted to a score of `1`

using unaryPlus. Similarly, an empty property will return a `false`

value, which is converted to `0`

.

The scores are added up, and if they total less than three (`< 3`

), the formula outputs **“✋ Quorum Not Reached!”**

If they total 3 or higher, we move to the “then” clause, which is a nested if-then statement.

Here, we use a pair of nested replaceAll functions to convert each member’s vote into a score: `(+replaceAll(replaceAll(prop("Luffy"), "Nay", "-1"), "Yay", "1")`

.

`replaceAll()`

is a function that searches a string for a pattern, then replaces **all **instances of that pattern with another pattern:

- The first
`replaceAll()`

searches the voter’s property (e.g.`prop("Luffy")`

) for “Nay”. If found, “Nay” is converted to “-1” (which is a string value at this point). - The second (outer)
`replaceAll()`

searches the result of the inner`replaceAll()`

(which will either contain “Yay” or “-1” at this point) for “Yay”. If found, “Yay” is converted to “1”. - Now the vote’s text has been turned
*either*to “-1” or “1”.

Next, the `+`

(unaryPlus) operator converts this numeric string to an actual number. This is done for each voter’s property, and finally all the scores are added up.

If the score is less than 1 (`<1`

), then the formula outputs, **“👎 Rejected”**. If it is 1 or greater, it outputs, **“👍 Passed”**.