What is 11001100? (worked example)
1 |
1001 |
100 |
Answer: - 1.100 (base 2) * 2 ^ 2 = - 1.5 * 4 = 6 |
How 2.5 will be represented? (worked example)
0 |
1000 |
010 |
2.5 = 10.1 (base 2) = 1.01 (base 2) * 2^1 |
Answer: 01000010
Answer:
The first bit is sign bit 0 means its positive 1 means the number is negative
Next 4 bit represents the integer part
The last 3 bit represents the decimal part
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a) What is 11010010?
1 = Sign bit
1010 = 8 + 2 = 10
010 = 0*2^-1 + 1*2^-2 + 0*2^-3 = 0 + 0.25 + 0
So the final answer is -10.25
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b) How 10.0 will be represented?
sign part = 0
integer part = 1010
decimal part = 000
So 10.0 will be represented as 01010000
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c) How -0.25 will be represented?
sign part = 1
integer part = 0000
decimal part = 010
So -0.25 will be represented as 10000010
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