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COE-341 Cheat Sheet (DRAFT) by

This is a draft cheat sheet. It is a work in progress and is not finished yet.

Conver­sions

0.375 * 2 = 0 + 0.75
Binary: 0.011
0.75 * 2 = 1 + 0.5
0.5 * (1 + 0) = 0.5
0.5 * 2 = 1 + 0
0.5 * (1 + 0.5) = 0.75
Binary : 0.011
0.5 * ( 0.75) = 0.375

Floating point

−118.625 using the IEEE 754 system
111011­0.1­01=­1.1­101­10101 * 2^6 ; This is normalized
Biased exponent = 6+127 = 133 (In binary: 10000101 )
1 10000101 110110­101­000­000­000­00000

Carry Lookahead adder

Pi = ai ⊕ bi
Gi = ai . bi
C0 = G0
C1 = G1 + G0P1
C2 = G2 + G1P2 + G0P2P1
Cout = G3 + G2P3 + G1P3P2 +G0P3P2P1
Faster than ripple carry
Large OR gates should be used
  

Binary Multip­lic­ation