Updated 9/30/2002
Click here to view the answers
1. For each of the following binary floatingpoint numbers, supply the equivalent value as a base 10 fraction, and then as a base 10 decimal. The first problem has been done for you:
Binary FloatingPoint  Base 10 Fraction  Base 10 Decimal 
1.101 (sample)  1 5/8  1.625 
11.11  
1.1  
101.001  
1101.0101  
1110.00111  
10000.101011  
111.0000011  
11.000101 
2. For each of the following exponent values, shown here in decimal, supply the actual binary bits that would be used for an 8bit exponent in the IEEE Short Real format. The first answer has been supplied for you:
Exponent (E)  Binary Representation 
2 (sample)

10000001 
5


0


10


128


1

3. For each of the following floatingpoint binary numbers, supply the normalized value and the resulting exponent. The first answer has been supplied for you:
Binary Value  Normalized As  Exponent 
10000.11 (sample)  1.000011  ^{4} 
1101.101  
.00101  
1.0001  
10000011.0  
.0000011001 
4. For each of the following floatingpoint binary examples, supply the complete binary representation of the number in IEEE Short Real format. The first answer has been supplied for you:
Binary Value 
Sign, Exponent, Mantissa 
1.11 (sample)  1 01111111 11000000000000000000000 
+1101.101  
.00101  
+100111.0  
+.0000001101011 