1. a) 000, 001, 010, 100, 011, 101, 110, 111 b) 104 c) 7C d) 10001 e) 11 f) 21 g) 122 h) 18 2. Initial Dec. Hex Octal Binary First: D 68 44 104 01000100 Mid: L 76 4C 114 01001100 Last: W 87 57 127 01010111 3. Old Dec. New Dec. ASCII Hex Binary Complement (68-5) 63 ? 3F 00111111 11000000 (76+10) 86 V (U case) 56 01010110 10101001 (87+32) 119 w (L case) 77 01110111 10001000 4. Complement 1's Comp 2's Comp Sign Mag. Offset 128 11000000 -63 -64 -64 -64 10101001 -86 -87 -41 -87 10001000 -119 -120 -8 -120 5. a) Grayish Blue b) Light Green c) Slate d) Light Brown e) Purple f) Light Gray g) It lightens the color 6. a) 15 b) 32,769 c) 29 d) 536,870,913 e) 1,048,576 f) 2,097,152 g) 34 7. a) 300,000,000,000 b) 200,000,000 c) .0000000002 seconds d) 2 GHz e) 200 Mhz 8. (AB + C') + (BC) A B C C' AB BC Output 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 0 0 1 1 1 0 1 0 0 0 0 1 1 0 1 1 0 1 1 1 1 0 1 1 1 9. Sum = (A xor B) xor C Carry Out = AB + (C*(A xor B)) 10. Sum = (A'B') * (C') Carry Out = (A' + B') * (C' + (A'B'))