1. Perform the following number conversions (by default, they are unsigned numbers), show your detailed work. 1) Decimal 112 to binary 2). binary 1101001 to hexadecimal 3) hexadecimal 7C to binary 4) hexadecimal 5B to decimal 2. Boolean operations (show your detailed work): Given two numbers x and y in binary format, where x=10010111, y=01010001, perform the following operations: 1) x & y 2) x I y 3) x ^ y 4) ~x 5) x & y I x 3. Signed numbers (show your detailed work): 1) What are the 8-bit 1s complement representations (in binary) of the following two numbers? 25, -25 2) What are the 8-bit 2s complement representations (in binary) of the following two numbers? 67, -67