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**Exercise 1.2 (Chapter 1) Prepared by Dr. Lamiaa Elshenawy**

Logic Design (CE1111) Exercise 1.2 (Chapter 1) Prepared by Dr. Lamiaa Elshenawy

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Exercise 1 Convert the following binary numbers to octal and hexadecimal numbers ( ) 2 ( ) 2 ( ) 2 ( ) 2 ( ) 2 ( ) 2

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Exercise 2 Convert the following octal and hexadecimal numbers to binary numbers (234) 8 (4FA2) 16 (5B23.AD67) 16 ( ) 8

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Exercise 3 Convert the hexadecimal number 64CD to binary, and then convert it from binary to octal Convert the decimal number 431 to binary in two ways: Convert directly to binary Convert first to hexadecimal and then from hexadecimal to binary Which method is faster?

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Exercise 4 Find the 9’s and the 10’s complement of the following decimal numbers: 25,478,036 63, 325, 600 25,000,000 00,000,000

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Exercise 5 Obtain the 1’s and 2’s complements of the following binary numbers: ( ) 2 ( ) 2 ( ) 2 ( ) 2 ( ) 2 ( ) 2

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Exercise 6 Perform subtraction on the given unsigned binary numbers using the 2’s complement of the subtrahend: – 1001 –

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Exercise 7 Perform the mathematical operations on the given signed numbers using the 2’s complement for negative numbers and subtraction operation (+3) + (+5) +16 – (+13) +8 – (– 4) (– 9) – (+5)

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**Exercise 8 Represent the unsigned decimal numbers 791 and 658 in BCD**

Convert decimal 6,514 to both BCD and ASCII codes Represent the decimal number 6,248 in BCD excess‐3 code 2421 code 8,4,-2,-1 Code Gray Code

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