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Published byJanis Dean Modified 11 months ago

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

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Exercise 1 Convert the following binary numbers to octal and hexadecimal numbers 1. ( ) 2 2. ( ) 2 3. ( ) 2 4. ( ) 2 5. ( ) 2 6. ( ) 2

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Exercise 2 Convert the following octal and hexadecimal numbers to binary numbers 1. (234) 8 2. (4FA2) (5B23.AD67) ( ) 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: 1. Convert directly to binary 2. 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: 1. 25,478, , 325, ,000, ,000,000

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Exercise 5 Obtain the 1’s and 2’s complements of the following binary numbers: 1. ( ) 2 2. ( ) 2 3. ( ) 2 4. ( ) 2 5. ( ) 2 6. ( ) 2

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

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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 1. (+3) + (+5) – (+13) – (– 4) 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 1. BCD 2. excess ‐ 3 code code 4. 8,4,-2,-1 Code 5. Gray Code

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