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Base System: Problem part - 3
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Base system problem part - 3

## Bharat Gupta is teaching live on Unacademy Plus

U
Unacademy user
sir in ques no 2 if we devide 8 by 5 why we can't take -2 as remainder as in other cases by taking -2 as remainder we obtain different answer
(111000)with base 16 into base 2 we get (000100010001000000000000) so no. of zero must be 21
we have to neglect starting three zero ok got it
Sir, can you provide the explanation of the formula used to solve the last question in this session?
and no. of digit must be 24
1. Base System Problems part 3

2. What is the average of (882)16, (624)8, (212)4 The remainder (in decimal system) when and (101100)2 in base 5 notations a. 11131 c. 14331 (47648)g is divided by (5)g is b. 10431 d. 10131 When no. are written to the base 11, howThe value of (222) when converted in base many two digit no. are possible which are10 is P. The value of (222)y when converted to thrice the no. forms by reversing base 10 is Q. If (P Q10 28, then what is the respective digit? value of (Q-X)10 a. 80 b. 92 b. 108 d. CBD How many different four digit numbers are A number, when written in base 16 notation there in the octal (Base 8) system,contains only three 0s and there 1s and no expressed in that system? a. 3584 C. 6000 other digits. Find the maximum number of zeroes in the base 2 notation of that number. a. 17 b. 18 c. 19 d. 20 e. 12 b. 2058 d. 7000

3. What is the average of (882)16 (624)8, (212)4 and (101100)2 in base 5 notations a. 11131 b. 10431 c. 14331 d. 10131

4. What is the average of (882)16 (624)8, (212)4 and (101100)2 in base 5 notations a. 11131 b. 10431 c. 14331 d. 10131 ST 266u in ha lo

5. What is the average of (882)16 (624)8, (212)4 and (101100)2 in base 5 notations a. 11131 b. 10431 c. 14331 d. 10131 un bna los 266u= 661 s 666 avaX S I33 S 261 3

6. The remainder (in decimal system) when (47648)s is divided by (5)9 is a. 2 IS b. 3 C. 4 d. 5

7. The remainder (in decimal system) when (47648)s is divided by (5)9 is a. 2 IS b. 3 C. 4 d. 5 2.

8. When no. are written to the base 11, how many two digit no. are possible which are thrice the no. forms by reversing respective digit? c. 2 d.3

9. When no. are written to the base 11, how many two digit no. are possible which are thrice the no. forms by reversing respective digit? c. 2 d.3 7-2, 21-8

10. The value of (222), when converted in base 10 is P. The value of (222)y when converted to base 10 is Q. If (P Q10 28, then what is the value of (Q - y)1o a. 80 b. 108 b. 92 d. CBD