Digital Electronics - Digital Concepts - Discussion
Discussion Forum : Digital Concepts - General Questions (Q.No. 26)
26.
Convert the fractional decimal number 6.75 to binary.
Discussion:
14 comments Page 1 of 2.
Lalith said:
7 years ago
Question is -->> 6.75
Answer -->> 8 4 2 1
0 1 1 0
So 4+2=6;
Coming to ractional part.
0.1100= (1*1/2^1)+(1*1/2^2)+(0*1/2^3)+(0*1/2^4),
= 0.5+0.25+0+0,
= 0.75.
So, 6.75=0110.1100.
Answer -->> 8 4 2 1
0 1 1 0
So 4+2=6;
Coming to ractional part.
0.1100= (1*1/2^1)+(1*1/2^2)+(0*1/2^3)+(0*1/2^4),
= 0.5+0.25+0+0,
= 0.75.
So, 6.75=0110.1100.
(3)
Nivi said:
7 years ago
You are right. Thanks @Kumkum Barik.
Dhilleswara Rao said:
7 years ago
6.75
6=integer part.
.75=fractional part.
sol-
a)Integer Part:
Quotient Remainder
6/2= 3 0
3/2= 1 1
1/2= 0 1.
Therefore 6 decimal to binary is (0110)
Now,
Fractional Part:
o.75*2= 1.50 means carry=1,
0.50*2= 1.00 means carry=1,
0.00*2= 000 means carry=0,
Therefore (0.75)binary is (1100)
ANS:(0110.1100).
6=integer part.
.75=fractional part.
sol-
a)Integer Part:
Quotient Remainder
6/2= 3 0
3/2= 1 1
1/2= 0 1.
Therefore 6 decimal to binary is (0110)
Now,
Fractional Part:
o.75*2= 1.50 means carry=1,
0.50*2= 1.00 means carry=1,
0.00*2= 000 means carry=0,
Therefore (0.75)binary is (1100)
ANS:(0110.1100).
(3)
Kimaya said:
9 years ago
What is the simple path of conversions?
Etribeth said:
1 decade ago
Clearly explained by @Nileshumate.
Ramya said:
1 decade ago
0110.1100
Left side of the point 0110=0+1*2^2+1*2^1+0=4+2 = 6.
Right side of the point 1100=1*2^-1+1*2^-2=1/2+1/4=0.5+0.25 = 0.75.
6+0.75 = 6.75.
Left side of the point 0110=0+1*2^2+1*2^1+0=4+2 = 6.
Right side of the point 1100=1*2^-1+1*2^-2=1/2+1/4=0.5+0.25 = 0.75.
6+0.75 = 6.75.
Ananth said:
1 decade ago
L.C.M of 6 w.r.t 2 gives 0110.
Then fractional part 0.75 * 2=1.5.
0.5 * 2=1.0.
Therefore 0110.1100.
Then fractional part 0.75 * 2=1.5.
0.5 * 2=1.0.
Therefore 0110.1100.
(1)
Sampath said:
1 decade ago
Convert decimal number 6 into binary form i.e 0110.
Now let us consider fraction .75.
Multiply 0.75 with 2 which gives 1.5 again take fraction 0.5 and do the same till it becomes zero in the decimal place.
0.75*2->1.5->1.
0.5*2->1->1.
So the final answer is 0110.1100.
Now let us consider fraction .75.
Multiply 0.75 with 2 which gives 1.5 again take fraction 0.5 and do the same till it becomes zero in the decimal place.
0.75*2->1.5->1.
0.5*2->1->1.
So the final answer is 0110.1100.
(1)
Nileshumate said:
1 decade ago
6.75
6=integer part.
.75=fractional part.
sol-
a)Integer Part:
Quotient Remainder
6/2= 3 0
3/2= 1 1
1/2= 0 1
Therefore 6 decimal to binary is (0110)
Now,
Fractional Part:
o.75*2= 1.50 means carry=1
0.50*2= 1.00 means carry=1
0.00*2= 000 means carry=0
Therefore (0.75)binary is (1100)
ANS:(0110.1100)
6=integer part.
.75=fractional part.
sol-
a)Integer Part:
Quotient Remainder
6/2= 3 0
3/2= 1 1
1/2= 0 1
Therefore 6 decimal to binary is (0110)
Now,
Fractional Part:
o.75*2= 1.50 means carry=1
0.50*2= 1.00 means carry=1
0.00*2= 000 means carry=0
Therefore (0.75)binary is (1100)
ANS:(0110.1100)
(1)
Vasavisrinu said:
1 decade ago
.7 can be written as .0111& 5 can be written as .0101, by adding. 0111+0101 we get .1100.
(1)
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