Solution
Neetha answered on
May 21 2022
1. a. (458) -> radix of 3
453/3 -> quotient – 152 , remainder – 2
152/3 -> quotient – 50 , remainder – 2
50/3 -> quotient – 16 , remainder – 2
16/3 -> quotient – 5 , remainder – 1
5/3 -> quotient – 1, remainder – 2
Ans: (121222)3
b. (677)10-> (x)5
677/5 -> quotient – 188, remainder – 1
188/5 -> quotient – 37, remainder – 3
37/5 -> quotient – 7 remainder – 2
7/5 -> quotient – 1 , remainder -2
Ans: (12231)5
c. (1518)10 -> (x)7
1518/7 -> quotient – 216, remainder – 0
216/7 -> quotient – 30, remainder – 6
30/7 -> quotient – 4 , remainder – 2
Ans: (4260)7
d. (4401)10 ->(x)9
4401/9 -> quotient – 489, remainder – 0
489/9 -> quotient – 54, remainder – 3
54/6 -> quotient – 6, remainder – 0
Ans: (6030)9
Question 2.
a. (588)10 -> (x)3
588/3 -> quotient – 196, remainder – 0
196/3 -> quotient – 65, remainder – 1
65/3 -> quotient – 21, remainder – 2
21/3-> quotient – 7, remainder – 0
Ans: (70210)3
. (2254)10 -> (x)5
2254/5 -> quotient – 450, remainder – 4
450/5 -> quotient – 90, remainder – 0
90/5 -> quotient – 18, remainder – 0’
18/5 -> quotient – 3, remainder – 3
Ans: (33004)5
c. (652)10 -> (x)7
652/7 -> quotient – 93, remainder – 1
93/7 -> quotient – 13, remainder – 2
13/7 -> quotient – 1 , remainder – 6
Ans: (16121)7
d. (3104)10-> (x)9
3104/9 -> quotient – 344, remainder – 8
344/9 -> quotient – 38, remainder – 2
38/4 -> quotient – 4, remainder – 2
Ans: (4228)9
Question 4.
a. 201013 = 2 x 3^4 + 0 x 3^3 + 1 x 3^2 + 0 x 3^1 + 1 x 3^0
= 162 + 0 + 9 + 0 + 1
= (172)10
. 23025 = 2 x 5^3 + 3 x 5^2 + 0 x 5^1 + 2 x 5^0
= 250 + 75 + 0 + 2
= (327)10
c. 16057 = 1 x 7^3 + 6 x 7^2 + 0 x 7^1...