Digital Electronics - Digital Concepts - Discussion

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).

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.

.7 can be written as .0111& 5 can be written as .0101, by adding. 0111+0101 we get .1100.

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)

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.

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.

.75*2=1.50 1
.50*2=1.00 1
.00*2=0000 0

How you can convert easily 6 into binary form :
assume that 8 4 2 1 stands for 1111 in binary form means


8 4 2 1
1 1 1 1
....................................
if in above case you require to convert 6 in to binary form so choose sum of that no from 8 4 2 1 which is 6 means 4 + 2 = 6
and other (8 & 1) stands for 0 in above case.
so finally we get 8 4 2 1
0 1 1 0
.....................................
means 0 1 1 0 binary for 6. you can check it up to decimal 15.

Show the working out for the problems or questions that requires calculations. Then short explanation on any kind of answer given to any question is highly appreciated. Thanks.

Clearly explained by mandeep and shekhar.