Question

8. (3 pts) This problem tests your knowledge about coding schemes.  What is the binary bit pattern for the letter 'h' using?

The answers should give the whole bit string (including leading 0s).

1. ASCII encoding (7-bits)

2. EBCDIC encoding (8-bits)

3. UNICODE encoding (16 bits)  

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9. (3 pts) Show how each of the following floating point values would be stored using IEEE-754 single precision (be sure to indicate the sign bit, the exponent, and the significand fields): (show your work)

1. 12.5  

2. −1.5  

3. 0.75

4. 26.625

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10. (5 pts) Show how each of the following floating point values would be stored using IEEE-754 double precision (be sure to indicate the sign bit, the exponent, and the significand fields): (show your work)

1. 13.5  

2. −102.25  

3. 0.0078125  

  

  

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11. (5 pts) Perform the following binary multiplications using Booth’s algorithm, (assuming signed two’s complement integers): (show your work)

1. 1011 × 0101

2. 0011 × 1011

3. 1011 × 1100  

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12. (3 pts) Using arithmetic shifting, perform the following on the two’s compliment numbers:  

1. double the value 000101012

2. quadruple the value 011101112

3. divide the value 110010102 in half

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13.   (3 pts) Find the quotients and remainders for the following division problems modulo 2 (show your work)

1. 10011112 ÷ 11012


2. 10111102 ÷ 11002


3. 10011011102 ÷ 110012  

4. 1111010102 ÷ 100112  

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14. (5 pts) Using the CRC polynomial 1101, compute the CRC code word for the information word, 01001101. Check the division performed at the receiver. (Show your work)

  

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Answer 1

Answer

ASCII encoding

ASCII encoding is 7 bits

h is represented as 110 1000

EBCDIC encoding

EBCDIC encoding is 8 bits

h is represented as 1000 1000

UNICODE encoding

UNICODE encoding is 16 bits

h is represented as 0000 0000 0110 1000

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