Binary unsigned representations

    1) Convert the following decimal numbers to a binary unsigned representation: 18 44 83 128 135   2) Convert the following unsigned binary numbers to decimal 1101 10011 11111 101011 110010 3) Convert the following decimal numbers to two’s complement 6 bits (be careful, a couple of these are trick problems – consider the range of values for 6 bits): 23 -5 41 -22 -38 -32 -1 17 4) Convert the two’s complement 8 bit binary to decimal: 00000001 00011100 10010011 00110011 11111111 10000000 5) Assuming two’s complement 8 bit binary, perform the following arithmetic (check that your results make sense): 00100100         +  01010011 00110101         +  00110011 00110101         + 11111011 00110101         + 01111011 00110101         - 00010101 00110101         - 00011011 00110101         - 01111111 10110101         - 01111111   00001101         X 00000011   00001101         X 00000101       6) If 110101 is two’s compliment in six bits, what is the same value in two’s compliment eight bits? Challenge 1) Convert the following binary to decimal (think about what the decimal point means in base 2 terms): 11.01 101.011 Challenge 2) Convert the following decimal to a binary representation: 21.5