Convert the vinkulum number into general number :
(i) 3 bar 5
(ii) 5 bar 4
(iii) 13 bar 2
(iv) 5 bar 42
(v) 6 bar 23
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(i) 3 bar 5
Hint :
(a) Write the parammitra digit 5 of
= 3 bar 5 the positive value of bar 5 Le., 5.
= \(\underline{3}\)5
(b) Put one less sign on poorven of
= 25 bar 5 i.e„ 3.
(c) Write \(\underline{3}\) = 1
(d) Thus, we got general number of 3 bar 5
(ii) 5 bar 4
Hint :
= 5 bar 4 (a) Write the parammitra digit 6 of the
= \(\underline{5}\)6 positive value of i.e. bar 4.
= 46
(b) Put one less sign on poorven of bar 4 i.e., 5.
(c) Write \(\underline{5}\) = 4
(d) Thus, we got general number of 5 bar 4
(iii) 13 bar 2
Hint :
13 bar 2 (a) Write the parammitra digit 8 of
= 1\(\underline{3}\)8 the positive value of i.e., bar 2.
= 128
(b) Put one less sign on poorven of bar 2 i.e., 3.
(c) Write \(\underline {3}\) = 2
(d) Thus, we got general number of 13 bar 2.
(iv) 5 bar 42
Hint :
= 5 bar 42 (a) Write the parammitra digit of
\(\underline {5}\)6 bar 2 positive value 4 of (at the tens place) i.e., 6.
= 46 bar 2
(b) Put one less sign on poorven of
= 4\(\underline {6}\)8 bar 4 i.e., 5.
= 458
(c) Write \(\underline {5}\) = 4
(d) Write the parammitra digit of positive value 2 of bar 2 (at the ones place) i.e., 8.
(e) Put one less sign on poorven of bar 2 i.e., 6.
(f) Write \(\underline {6}\) = 5
(g) Thus, we got general number of 5 bar 42.
(v) 6 bar 23
Hints :
= 6 bar 23
(a) Write the parammitra digit of
= \(\underline {6}\)8 bar 3 positive value 2 of bar 2 (at the tens place) i.e., 8.
= 58 bar 3
= 5\(\underline {8}\)7 (b) Pat one less sign on poorven of
= 577 bar 2 i.e., 6.
(c) Write \(\underline {6}\) = 5
(d) Write the parammitra digit of positive value of bar 3 of 3 (at the ones place), i.e., 7.
(e) Put one less sign on poorven of bar 3 i.e., 8.
(f) Write \(\underline {8}\) = 7
(g) Thus, we got general number of 6 bar 23.