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HW1_Solutions

# HW1_Solutions - ECE 2030 E,F Homework#1 Solutions(1...

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ECE 2030 E,F Homework #1 - Solutions (1) Textbook #1-4 – What is the exact number of bits in a memory that contains: (a) 96K bits? Ans. = 96x2 10 = 96x1024 = 98,304 (b) 640M bits? Ans. = 640x2 20 = 640x1,024x1,024 = 640x1,048,576 = 670,088,640 (c) 4G bits ? Ans. = 4x2 30 = 4 x 1,024 x 1,024 x 1,024 = 4,294,967,296 (2) Textbook #1-6 – What is the decimal equivalent of the largest integer that can be obtained with (a) 11 bits? Ans. = 11111111111 2 = 2 11 -1 = (2x1,024)-1 = 2,047 (b) 25 bits? Ans. 2 25 -1 = (32x1,024x1,024)-1 = 33,554,431 (3) Textbook #1-8 – Convert the following decimal numbers to binary: (a) 193 10 = 128+64+1 = 11000001 2 (b) 751 10 = 512+128+64+32+8+4+2+1 = 1011101111 2 (c) 2007 10 = 1,024+512+256+128+64+16+4+2+1 = 11111010111 2 (d) 19450 10 = 16,384+2,048+512+256+128+64+32+16+8+2 = 100101111111010 2 (4) Textbook #1-9 – Convert the given numbers (in bold ) to the other bases: Decimal Binary Octal Hexidecimal (Hex) 369.3125 101110001.0101 561.24 171.5 189.625 10111101.101 275.5 BD.A 214.625 11010110.101 326.5 D6.A 62407.625 1111001111000111.1010 171707 F3C7.A (5) Textbook #1-11 – Convert the following numbers to the indicated bases by first

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