Well, the Hijri date 1 Shawwal 1408 corresponds to the Gregorian date Monday, 16 May 1988. This date lies in the tenth month of the Hijri year 1408 AH, which is Shawwal of 1408 AH. Both this Hijri and Gregorian date occur on the single day that is Monday without any doubt. The Arabic date 1408/10/01 is calculated using the Umm Al-Qura calendar and the sighting of the moon. One thing to remember is that this Arabic date may occur on different Gregorian date depending upon the region and country and obviously the moon.
If you are still not sure about the date then you can use our Arabic date converter.
The following is the conversion of the Gregorian date 16 May 1988 to its equivalent Arabic date.
The following is the conversion of the Arabic date 1 Shawwal 1408 AH to its equivalent Gregorian date.
وَإِذْ قَالَت طَّآئِفَةٌۭ مِّنْهُمْ يَٰٓأَهْلَ يَثْرِبَ لَا مُقَامَ لَكُمْ فَٱرْجِعُوا۟ ۚ وَيَسْتَـْٔذِنُ فَرِيقٌۭ مِّنْهُمُ ٱلنَّبِىَّ يَقُولُونَ إِنَّ بُيُوتَنَا عَوْرَةٌۭ وَمَا هِىَ بِعَوْرَةٍ ۖ إِن يُرِيدُونَ إِلَّا فِرَارًۭا
And when a party of them said: O folk of Yathrib! There is no stand (possible) for you, therefor turn back. And certain of them (even) sought permission of the Prophet, saying: Our homes lie open (to the enemy). And they lay not open. They but wished to flee.
Surah Al-Ahzaab(33:13)
Sahih al-Bukhari
Prophetic Commentary on the Qur'an (Tafseer of the Prophet (pbuh))
The Statement of Allah the Exalted: "And (remember) when Mūsa (Moses) said to his boy-servant: 'I will not give up (travelling) until I reach the junction of the two seas or (until) I spend years and years in travelling." (V.18:60)
Narrated Ibn `Abbas:
The Prophet (ﷺ) said to Gabriel, "What prevents you from visiting us more often than you visit us now?" So there was revealed:-- 'And we (angels) descend not but by the command of your Lord. To Him belongs what is before us and what is behind us...'(19.64)
Sahih al-Bukhari 4731