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EE2310 Homework 1

by: Safwan Mazhar

EE2310 Homework 1 EE 2310

Safwan Mazhar

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Solutions to Homework 1
Introduction to Digital Systems
Dr. Nathan Dodge
Class Notes
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This 2 page Class Notes was uploaded by Safwan Mazhar on Monday September 5, 2016. The Class Notes belongs to EE 2310 at University of Texas at Dallas taught by Dr. Nathan Dodge in Fall 2016. Since its upload, it has received 7 views.


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Date Created: 09/05/16
EE 2310 Homework #1 Solutions – Binary Numbers and Numeric Conversions 1. Convert the following positive decimal numbers to binary (take the binary point of non-exact fractions to at least 2x the decimal number of places): 126 111 1110 0.125 0.001 23.57 10111.1001 10011 00..751..0015 2. Convert the following positive binary numbers to decimal: 11 1011 59 1010.01 10.25 111.111 7.875 111 0011 115 0.0011 0.1875 1111.011 15.375 3. Convert the following binary numbers to hexadecimal (prefix the hexadecimal number with “0x,” which means “hexadecimal number”). 1101 0111 1111 1001 0011 1010.1111 0x d7f93a.f 1 0001.11 0x 11.c 1110.0111 1001 1110 1011 1111 0xe.79ebf 111 1010.001 0x7a.2 4. Convert the following hexadecimal numbers to binary (byte form): 0x d6.e8 1101 0110.1110 1 0x 2eb5.cc4 10 1110 1011 0101.1100 1100 01 0x 548cf.b3 101 0100 1000 1100 1111.1011 0011 0x f8.d8 1111 1000.1101 1 5. Convert the following two’s complement binary numbers to decimal. (Remember to show all 8 bits in 2’s complement, which includes the sign bit). 1001 1111 97 1010 1111 81 0110 1000 104 1111 1100 400111090010 63 6. Convert the following decimal numbers to signed binary numbers, using the 2’s complement sign convention: 75 0100 1011 101 1001 1011 96 1010 0000 54 1101010 23 1110 1001 121 0111 1001 7. Perform the indicated math operation (numbers are two’s complement binary). Write the decimal value of the answer below the binary answer. (01110 −25)(100)01 +0111 1100 (124) − 1011 1010(−[−70]) 00110111101 +99 +126 2 EE 2310, Homework #1


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