# CGS 3269 Computer Architecture Concepts Assignment 1 solution

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## Description

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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

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

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

References

1. pptx
2. pdf

1. Convert decimal 5110 to binary

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1. Convert octal 63058 to decimal

1. Convert decimal 202210 to hexadecimal

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1. Convert hexadecimal 9F116 to binary

1. Convert octal 64028 to binary