Conversion of decimal into binary
Example 2:
Convert decimal number 150 into binary value and can you identify which class it comes ?
Solution:
It is a class B decimal value 150
Base position 2^7 2^6 2^5 2^4 2^3 2^2 2^1 2^0
Decimal value 128 64 32 16 8 4 2 1
Binary value 1 0 0 1 0 1 1 0
We can also check through adding only "1"s bit in the table which is shown above.
Rough note:
We can do this adding method given below;
Decimal calculations Bit in binary
128 is less than 150 on the bit
128 + 64 = 192 is greater than 150 off the bit
128 + 0 + 32 = 160 is greater than 150 off the bit
128 + 0 + 0 + 16 = 144 is less than 150 on the bit
128 + 0 + 0 + 16 + 8 = 152 is greater than 150 off the bit
128 + 0 + 0 + 16 + 0 + 4 = 148 is less than 150 on the bit
128 + 0 + 0 + 16 + 0 + 4 + 2 = 150 is equivalent 150 on the bit
128 + 0 + 0 + 16 + 0 + 4 + 2 + 1 = 151 is greater than 150 off the bit
This is another way of doing this calculation in which we can also do like this subtracting method which is given below;
Decimal calculations Bit in binary
150 - 128 = 22 is less than 150 on the bit
22 - 64 cannot be subtracted off the bit
22 - 32 cannot be subtracted off the bit
22 - 16 = 6 is less than 150 on the bit
6 - 8 cannot be subtracted off the bit
6 - 4 = 2 is less than 150 on the bit
2 - 2 = 0 is less than 150 on the bit
0 - 1 cannot be subtracted off the bit
Therefore, this is the binary value 10110110.
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