Logic Analysis and Design Course, 6803213-3 First Assignment

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1 Kingdom of Saudi Arabia

Ministry of Education Umm AlQura University

Adam University College, female branch Computer Science Department

ةيدوعسلا ةيبرعلا ةكلمملا ميلعتلا ةرازو ةعماج ىرقلا مأ تابلاطلا رطش ،مضأب ةيعماجلا ةيلكلا

يللآا بساحلا مولع مسق

Question One: 3 Marks

Convert the following numbers from the given base to the other three bases listed in the table:

The Answer:

By using the conversion methods we have discussed in Ch1 in the classes:

Decimal Binary Octal Hexadecimal

396.3125 101110001.0101 561.24 171.5

189.625 10111101.101 ^275.5 ^BD.A

214.625 11010110.101 326.5 D6.A

62407.625 1111001111000111.101 171707.5 F3C7.A

Question Two: 0.5 Mark

What is the exact number of bits in a memory that contains (a) 𝟗𝟔𝑲 bits; (b) 𝟔𝟒𝟎𝑴 bits?

The Answer:

Number of Bits in 96 K bit = 96 × 1024 𝑏𝑖𝑡𝑠 (𝑏𝑒𝑐𝑎𝑢𝑠𝑒 1𝐾𝑖𝑙𝑜 = 1024 𝐵𝑖𝑡𝑠) = 96 × 2¹⁰ (𝑏𝑒𝑐𝑎𝑢𝑠𝑒 2¹⁰= 1024)

Number of Bits in 640 M bit = 96 × 2²⁰ 𝑏𝑖𝑡𝑠 (𝑏𝑒𝑐𝑎𝑢𝑠𝑒 1𝑀𝑒𝑔𝑎 = 2²⁰ 𝐵𝑖𝑡𝑠)

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2 Question Three: 0.25 Mark

Perform the follwoing binary multipilication:

a) 𝟏𝟎𝟎𝟏𝟏𝟏 × 𝟎𝟏𝟏𝟎𝟏𝟏

The Answer:

1 0 0 1 1 1 0 1 1 0 1 1 × --- 1 0 0 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0 1 1 1

0 0 0 0 0 0 + --- 1 0 0 0 0 0 1 1 1 0 1

Question Four: 0.25 Mark

Find the binary representation for the following BCD number:

a) 𝟎𝟏𝟎𝟎 𝟏𝟎𝟎𝟎 𝟎𝟏𝟏𝟎 𝟎𝟏𝟏𝟏

The Answer:

From the BCD Table:

4867

Good Luck my Lovely Students 😉 T.Mariah Sami Ahmed Khayat

Teacher Assistant @ Adam University College [email protected]