1. a. 000, 001, 010, 100, 011, 110, 101, 111 b. 104 c. 7C d. 10001 e. 11 f. 21 g. 122 h. 18 2. C 67 43 103 1000011 E 69 45 105 1000101 H 72 48 110 1001000 3. 62 > 3E 0111110 1000001 79 O 4F 1001111 0110000 104 h 68 1101000 0010111 4. 1000001 65 191 -65 0110000 48 208 -48 0010111 23 233 -23 5. a. 3E4F68 gray blue b. 3E4F00 green c. 3E3E3E gray d. 413017 dark yellow e. 100017 dark purple f. 303030 gray g. lighten 6. a. 15 b. 65,536 c. 29 d. 1,073,741,824 e. 1,048,576 f. 2,097,152 g. 34 7. a. 300,000,000,000 b. 20,000,000 c. 50ps d. 20MHz e. 2MHz 8. ((AB) + C’) + BC A B C (AB) + C’ ((AB)+C’) + BC 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 1 0 1 1 1 0 1 1 0 0 0 0 1 1 0 0 0 1 0 1 1 0 9. I used @ to show XOR (A@B) @ C = sum (AB) + ((A@B)(C)) = carry out 10. (A+B)’=A’B’ (AB)’=A’+B’