hw1 - borrows instead of carries 8(4 points Add the...

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CSE2300W Homework 1 Note: You need to show how you get the answers. Only showing results will not receive credits. 1. (12 points) Read Chapter 1 and define the following acronyms. ASIC, CAD, CPLD, DIP, FPGA, HDL, LSI, MSI, PCB, PLD, SSI, VLSI. For example, IC stands for Integrated Circuit 2. (8 points) Convert the following hexadecimal numbers into binary and octal. C0FFEE 16 , ABCDEF 16, 55AA 16, 2300 16 3. (5 points) What are the octal values of the four 8-bit bytes in the 32-bit number with octal representation 36543210765 8 . Hint: divide the 32 bits into four groups, and then represent each 8-bit group with an octal number. 4. (10 points) Convert the following numbers to binary numbers. 125 10 , 2300 10 , 8913 10 , 2008 10 , 191 10, 5. (6 points) Convert 6543210 7 to a radix 3 number. 6. (4 points) Add the following pairs of binary numbers, showing all carries. 1001011 + 10011111 11101011 + 1101101 7. (4 points) Repeat problem 6 using subtraction instead of addition and showing
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Unformatted text preview: borrows instead of carries. 8. (4 points) Add the following pairs of hexadecimal numbers, showing all carries. 1880 + 72901 9281 + ABCD 9. (12 points) Write the 8-bit signed-magnitude and tow’s-complement representations of the following decimal numbers. 31, 121, – 67, – 116, – 91, – 127 10. (15 points) Each of the following operations is correct in at least one number system. Determine possible radices of the numbers in each operation. a) 1234 + 1234 + 1234 + 1234 = 11101 b) 297 / 18 = 19 c) 5 3 = 175 11. (10 points) Show that a two’s complement number can be converted to a representation with more bits by sign extension. 12. (5 points) How many bits do you need to represent a product of two n-bit binary numbers? 13. (5 points) How many bits do you need to represent a product of two n-bit two’s complement numbers? The result is also a two’s complement number....
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hw1 - borrows instead of carries 8(4 points Add the...

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