Unit Digits and Last Two Digits - Number system
https://tathagat.mba/forums/number-system/unit-digit/
TathaGat Discussion Boarden-USFri, 22 Oct 2021 21:48:17 +0000wpForo60RE: Unit Digits and Last Two Digits
https://tathagat.mba/forums/number-system/unit-digit/#post-3889
Mon, 21 Jun 2021 10:16:43 +0000Number systemAditya Danghttps://tathagat.mba/forums/number-system/unit-digit/#post-3889New Question: Base Theorem
https://tathagat.mba/forums/number-system/unit-digit/#post-3882
Sat, 19 Jun 2021 13:26:06 +0000Two natural numbers a and b are given in base 10. The number a can be written as 212 in base b and 128 in base b + 2. 13.

The value of a + b in base 10 is

1. 219 2. 125 3. 114 4. 107

]]>Number systemkanzzzhttps://tathagat.mba/forums/number-system/unit-digit/#post-3882RE: Unit Digits and Last Two Digits
https://tathagat.mba/forums/number-system/unit-digit/#post-3707
Sun, 30 Jun 2019 09:37:13 +0000Number systemGaurav Jainhttps://tathagat.mba/forums/number-system/unit-digit/#post-3707New Question: Unit Digits and Last Two Digits
https://tathagat.mba/forums/number-system/unit-digit/#post-3703
Fri, 28 Jun 2019 14:49:31 +0000what are the last two digits of 46^23 - 23^46?]]>Number systemtanvihttps://tathagat.mba/forums/number-system/unit-digit/#post-3703New Question: Unit Digits and Last Two Digits
https://tathagat.mba/forums/number-system/unit-digit/#post-3657
Wed, 27 Feb 2019 06:38:05 +0000The 111th digit of the series 149162536496481........ is?]]>Number systemtanvihttps://tathagat.mba/forums/number-system/unit-digit/#post-3657New Question: speed maths
https://tathagat.mba/forums/number-system/unit-digit/#post-3642
Fri, 25 Jan 2019 09:02:52 +0000how many perfect squares of natural numbers between 30000-50000 are there whose last two digits end with 81?]]>Number systemWADHWAhttps://tathagat.mba/forums/number-system/unit-digit/#post-3642RE: Unit Digits and Last Two Digits
https://tathagat.mba/forums/number-system/unit-digit/#post-3641
Sun, 20 Jan 2019 16:15:38 +0000(1/5)^{1} = 2/10 = 0.2 => same as the last digit of 2^{1} (1/5)^{2} = 1/25= 4/100 = 0.04 => same as the last digit of 2^{2} (1/5)^{3} = 1/125 = 8/1000 = 0.008 => same as the last digit of 2^{3} (1/5)^{4 }= 1/ 625 = 16/10000 0.0016 => same as the last digit of 2^{4}

…………………

thus, the last digit of ( 1/5)^{2000} is same as the last digit of 2^{2000}2^{(4k) }ends with 6 so last digit of ( 1/5)^{2000 }=> 6.

]]>Number systemTG.Ramanhttps://tathagat.mba/forums/number-system/unit-digit/#post-3641New Question: Unit Digits and Last Two Digits
https://tathagat.mba/forums/number-system/unit-digit/#post-3640
Sun, 20 Jan 2019 04:53:01 +0000What is the unit digit of (1/5)^2000]]>Number systemNancyjainhttps://tathagat.mba/forums/number-system/unit-digit/#post-3640RE: Unit Digits and Last Two Digits
https://tathagat.mba/forums/number-system/unit-digit/#post-2937
Sun, 21 Oct 2018 10:25:36 +0000453]]>Number systemTG.Ramanhttps://tathagat.mba/forums/number-system/unit-digit/#post-2937RE: Unit Digits and Last Two Digits
https://tathagat.mba/forums/number-system/unit-digit/#post-2934
Sun, 21 Oct 2018 04:40:31 +0000452]]>Number systemaniket prajapatihttps://tathagat.mba/forums/number-system/unit-digit/#post-2934