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 2 of 2.
Kimaya said:
9 years ago
What is the simple path of conversions?
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)
Nivi said:
7 years ago
You are right. Thanks @Kumkum Barik.
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)
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