Homework 1 Due 2/15/2021 Please, show your work. 1. Convert each of the following decimal numbers to binary, octal, and hexadecimal (a) 9410 (b) 1910 c) 55310 (d) 409210 2. Convert each of the following hexadecimal numbers to binary and decimal (a) AC16 (b) 1216 (C) A54B16 (d) 111116 3. Convert the following decimal numbers to 6-bit two's complement binary numbers (a) 1210 (b) - 2310 C) -3010 (d) 3010 4. What is the result of the following additions assuming both numbers and the result are 8-bits? Is there an overflow? (a) 110101102+101101112 (6) 101011102 + 110110112 5. Repeat (4) assuming the numbers are in two's complement form. 6. Repeat (4) assuming the numbers are signed-magnitude numbers. 7. What are the largest and smallest 10-bit signed-magnitude number? NYIT Fundamentals of Digital Logic/Digital Logic Design (EENG 125/CSCI 135) 8. What are the largest and smallest 10-bit two's complement numbers? 9. Given that 220 = 1,048, 576, how many numbers can be represented with 24 bits? 10. You are given the decimal numbers A=5.101562510 and B = 2.34375 x 10-2 (a) Write A and B in Single Precision floating point (IEEE 754) format (b) Write A and B in Double Precision floating point (IEEE 754) format c) Calculate A + B as a binary floating point operation and write the result in Sing! Precision floating point (IEEE 754) format and in hexadecimal format. Deliverables Submit your homework to Canvas as a single pdf file with file name YourLastName-HW2.pdf