```
weekday = (d + ((m + 1) * 26)/ 10 + y + (y/4) + (c/4) - 2c) mod 7
```
Where:
- weekday: the day of the week (0 = Sunday, 1 = Monday, 2 = Tuesday, ..., 6 = Saturday)
- d: the day of the month (1-31)
- m: the month (March = 1, April = 2, ..., December = 12)
- y: the year
- c: the century (19 = 19, 20 = 20)
In this case:
- d = 16
- m = 6 (June)
- y = 1946
- c = 19
So,
```
weekday = (16 + ((6 + 1) * 26) / 10 + 1946 + (1946 / 4) + (19 / 4) - 2 * 19) mod 7
```
weekday = (16 + 156 + 1946 + 486 + 4 - 38) mod 7
weekday = 2559 mod 7
weekday = 5
```
Therefore, 16th June 1946 was a Sunday.