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Numbering Systems 3. 4. Which of the following is the correct 4-digit unsigned base 3 representation of 2410 ? A. 02203 B. 01223 C. 20213 D. 00223 Convert 02445 to base 6. A. 01016 B. 02026 C. 03526 D. 00716 Convert OxFAD to octal. A. 23078 B. 74338 C. 76558 D. 42898 Convert the number 4045 to base 3. A. 101213 B. 102123 C. 120213 D. 112123 5. 6. Data Representation 7. Which IEEE 754 Single Precision floating point numbers are additive inverses of each other? (Select two) A. Ox41200000 B. Ox37DFFFFF C. Ox0000000A D. OxC1200000 E. Ox37700000 ood Ooooo 8. Convert - 7110 to 8-bit signed magnitude representation. O A. 101110112 B. 110001112 C. 101110012 D. 110100112 O E. 011101112 9. Sign extend the 8-bit two's complement number 110001102 to a 16-bit two's complement number. O A. 11000110111111112 OB. 00000000001110102 O C. 11111111110001 102 OD. 00000000110001 102 E. 10000000110001 102 10. What is the 8-bit two's complement sign-extended representation of this 4-bit unsigned binary number: '1100' A. 111101112 OB. 10001 1002 O c. 111111002 OD. 111011002 E. 000011002 11. Which IEEE 754 Single Precision floating point number is closest to zero? A. Ox442CCCCD B. Ox385E5D4B C. Ox782CCCCC OD. OxC1200000 O E. Ox2F9FD394 12. Convert -8210 to 8-bit two's complement representation. O A. 101101112 B. 101011102 OC. 010100102 OD. 110010012 O E 010010012 00000 Boolean Algebra 13. Select the Boolean expressions that share the same truth table as .B.C+.B.C+AB.C+A.B.C Select all that apply. O A. ABC+AB.CA.B.C+A:B.C B. (A+B+C). (A+B+C)(A+B+C)(A+B+C) C. (A+B+C). (A+B+C). (A+B+C)(A+B+C) o D. (A+B+C)(A+B+C). (A+B+C)(A+B+C) 0 E. (A+B+C). (A+B+C).(A+B+C).(A+B+C) 14. Select all equivalent Boolean equations. O A. B+AC O B. AB + AC + BC + BC O C. (A+B)(A+C)(B+C)(B+C) O D. AB+AC+C 15. Select the Boolean expression(s) matching the filled areas of this Venn diagram. Big Red Square B A. (Big + Red) + Square. (Big Red) (Big . Red). (Square + Big + Red) O C. Square. (Big+Red) + Big. Red D. Square. ((Big +Red) + Big . Red) 16. Select all Boolean expressions that are equivalent to: PQ+RS 0000 A. ++++S . P+Q+R+S C. PQRS D. PQRS