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ESP1104 Introduction to Electronic Systems

Tutorial 7

1) Express the following binary numbers in decimal form: 101.101; 111.11; 1010.01; 111.111; 1000.0101

2) Express the following octal numbers in binary, hexadecimal and decimal forms: 777.78; 123.58; 24.48

3) Express the following hexadecimal numbers in binary, octal, and decimal forms: FA.F16; 2A.116; 777.716

4) Express the following decimal numbers in binary, octal, hexadecimal, and BCD forms: 173; 299.5; 735.75; 313.0625; 112.25

5) Write the following decimal numbers as eight-digit signed two’s-complement number: 19; -19; 75; -87; -95; -99

6) Perform the following operations by using 8-bit signed two’s-complement arithmetic: 1710+1510; 1710-1510; 3310-3710; 1510-6310; 4910-4410

7) Prove B A AB= + by using truth table.

8) Draw a logic circuit using AND gates, OR gates and inverters to realize the Boolean expression

) )(

(A B A AB

F = + + ;

and then prove F =B by using truth table.

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