Q1. Use the Booth algorithm to multiply -21 (multiplicand) by 23 (multiplier), where each number is represented using 6 bits. Show the procedure in detail, preferably using a table.
Q2. A 12-bit Hamming code word containing 8 bits of data and 4 parity bits is read from memory. What was the original 8-bit data word that was written into memory if the 12-bit word read out is 111011011001 (show the
procedure)?
Q3. For the 8-bit word 11010001, calculate the check bits to be stored with it. Suppose when the word is read from memory, the check bits are calculated to be 1101.What is the data word that was read from memory? (show
the procedure)?
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