Robert Albano Take Home Test 3 / 20 / 11 1. a. 000 b. 104 c. 7C d. 10001 e. B f. 21 001 010 g. 122 h. 18 011 100 101 110 111 Initial Decimal Hex Octal Binary 2. First A) R 82 52 122 1010010 Middle B) A 65 41 101 1000001 Last C) A 65 41 101 1000001 3. Old New DEC. DEC. ASCII Hex Binary Compliment X = A - 5 82 - 5 77 M w 01110111 10001000 Y = B + 10 65 + 10 75 K u 01110101 10001010 Z = C + 33 65 + 33 98 b ~ 10011000 01100111 4. ONES TWOS SIGN OFFSET - COMPLIMENT COMPLEMENT COMPLEMENT MAG 128 10001000 77 89 - 10001010 75 8B - 01100111 98 68 + 5. COLOR REPRESENTATION a. XYZ / grayish purple b. XY0 / green c. XXX / light gray d. X'Y'Z' / grayish green e. X'0Z' / purple f. Y'Y'Y' / gray g. They would all be brighter Page 2 of 2 6. a. 15 bits b. 32,769 c. 29 bits d. 536,870,913 e. 1,048,576 f. 2,097,152 g. 8 bits 7. a. 300,000 X 10E6 b. 200 X 10E6 c. One tenth the amount of time. d. 200 Mhz e. 2 Ghz 8. (AB + C') + (BC) TRUTH TABLE AB C C' AB+C' BC +OUT 00 0 1 1 0 1 01 1 0 0 0 0 10 0 1 1 0 1 11 1 0 1 1 1 9. Sum = (A X+ B) X+ C C = Carry-In Carry-Out = C(A X+ B) + AB 10. DeMorgan's Law Sum = [(A X+ B)' X+ C]' = (AB)'C' Carry-Out = [C(A X+ B) + AB]' = C' + (AB)'A'+B'