- #1
JWest
- 12
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Homework Statement
a.) What is the lowest number represented by a 12-bit machine using Sign Magnitude?
b.) What is the largest?
c.) What decimal number does the bit pattern "101001010010" represent?
Homework Equations
For a and b:
Signed integer ranges for N bits (I don't know if this is what I need to use):
Lowest: -[2^(N-1) - 1]
Highest: [2^(N-1) - 1]
The Attempt at a Solution
a.) -[2^(N-1) - 1]
-[2^(12-1) - 1]
-[2^(11) - 1]
-[2048 - 1]
-[2047]
b.) [2^(N-1) - 1]
[2^(12-1) - 1]
[2^(11) - 1]
[2048 - 1]
[2047]
c.) Bit pattern: 101001010010
Signed Magnitude: 101001010010b
= -01001010010b
= -[(2^9) + (2^6) + (2^4) + (2^1)]
= -[512 + 64 + 16 + 2]
= -[594]
= -594d