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1. Binary and floating-point arithmetic. Solve each binary operation with detailed, step-by-step explanation. Please note that for each of the following operations, first you need to convert the decimal numbers (represented in base 10) into their binary representation. Explain where carry bit is generated and how.

a. Binary multiplication of (12 x 9 ).

b. Binary subtraction of (7 - 15). 

c. Binary division of (12 / 3). Use the provided YouTube tutorial and reading content from the book.

d. Convert (1425.75)10 into a 32-bit Single Precision IEEE floating-point binary number.

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