Question:
The binary number corresponding to (13.0625)10 is
The binary number corresponding to (13.0625)10 is
Options:
- (1101.0001)2
- (1001.0001)2
- (1011.0010)2
- (1110.0101)2
- (1101.0001)2
- (1001.0001)2
- (1011.0010)2
- (1110.0101)2
Correct Answer: a)
Explanation:
‘ For integer part of (13.0625)
i ie. (13)10
1 (13) = (1101), 1
1 2(13
yo 2fefr
2 0
‘ 2 11
i For fractional part of(13.0625)1 i.e. (0.0625)1¢
‘ 0.0625 x 2=0.125 0
0.125 x 2=0.25 0
‘ 0.25 x 2=0.5 0
i 0.5 x 2=10 1
! -.(13.0625)19 = (1101.0001)5 !
1 4a)
i
‘ For integer part of (13.0625)
i ie. (13)10
1 (13) = (1101), 1
1 2(13
yo 2fefr
2 0
‘ 2 11
i For fractional part of(13.0625)1 i.e. (0.0625)1¢
‘ 0.0625 x 2=0.125 0
0.125 x 2=0.25 0
‘ 0.25 x 2=0.5 0
i 0.5 x 2=10 1
! -.(13.0625)19 = (1101.0001)5 !
1 4a)
i