CGS 3269 Computer Architecture Concepts Assignment 1 solution

CGS 3269 Computer Architecture Concepts Assignment 1 solution

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Be sure to include the base in the converted values (e.g. 101012, 2110, 638)

 

Suggested methods for showing work include the conversion table and binary place value chart provided in lecture 5_DigitalNumberSystem.pptx.  Use of table formatting is NOT required.

 

Examples

 

  1. Convert binary number 101012 to its decimal equivalent

 

Step

 

 Binary Number

 

 Decimal Number

 
1 101012 ((1 × 24) + (0 × 23) + (1 × 22) + (0 × 21) + (1 × 20))10
2 101012 (16 + 0 + 4 + 0 + 1)10
3 101012 2110

Answer: 2110

 

  1. Convert decimal number 2910 to its binary equivalent

 

Step

 

 Operation

 

 Result

 

 Remainder
1 29/2 14 1
2 14/2 7 0
3 7/2 3 1
4 3/2 1 1
5 1/2 0 1

Answer: 111012

 

 

 

  1. Binary place value chart; convert decimal number 2910 to its binary equivalent

 

Base 10 number 512 256 128 64 32 16 8 4 2 1
29 28 27 26 25 24 23 22 21 20
2910 0 0 0 0 0 1 1 1 0 1
                     

Answer: 111012

 

References

  1. pptx
  2. pdf

 

Assignment tasks

 

  1. Convert decimal 5110 to binary

Answer:

 

  1. Convert binary 1111101001002 to decimal

Answer:

 

  1. Convert decimal 197110 to octal

Answer:

 

  1. Convert octal 63058 to decimal

Answer:

 

  1. Convert decimal 202210 to hexadecimal

Answer:

 

  1. Convert hexadecimal C9716 to decimal

Answer:

 

  1. Convert hexadecimal 9F116 to binary

Answer:

 

  1. Convert octal 64028 to binary

Answer:

 

  1. Convert alphanumeric ASCII “Computer Architecture Concepts” to binary (do NOT include the double quotes)

Answer:

 

  1. Convert alphanumeric ASCII “Computer Architecture Concepts” to hexadecimal (do NOT include the double quotes)

Answer:

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