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Week 3 Assignment

1 min read

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Floating-Point Binary

  1. 0 10000010 10100000000000000000000
    • Sign bit → 0
    • Exponent → 10000010 → 130−127=3
    • Mantissa → 10100000000000000000000 → 12+18=58
    • Final → 1×(1+58)×23=13
  2. 1 01111111 00000000000000000000000
    • Sign bit → 1
    • Exponent → 01111111 → 127−127=0
    • Mantissa → 0
    • Final → −1×(1+0)×20=−1
  3. 1 10000010 00110000000000000000000
    • Sign bit → 1
    • Exponent → 10000010 → 130−127=3
    • Mantissa → 00110000000000000000000 → 18+116=316
    • Final → −1×(1+316)×23=−9.5

Build-A-Circuit

Boolean Expression

  • (Keycard∧¬Pressure∧¬Motion)∨Override

Circuit

Notes

  • ¬𝐴=NAND(𝐴,𝐴)
  • 𝐴∨𝐵=NAND(¬𝐴,¬𝐵)

Truth Table

||||||||||||||Keycard0000000011111111Pressure0000111100001111Motion0011001100110011Override0101010101010101Result0101010111010101||||||||||||||

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Graph View