Convert the following numbers as indicated. show steps. Use as
few digits in the results as necessary or as many as indicated in
the problems (note: don't use HEX table lookup).
a) (010010111)2
to Base 10
b) (-76)10 to
binary 2's complement representation using 9 bits
c) (67.4375)10
to unsigned binary
d) (-53)10 to
hexadecimal 2’s complement representation
Digital arithmetic:
a) Convert +35 to 2-complement
b) Convert -35 to 2-complement
c) Convert 2-complement from 1101 1101 to decimal
d) Add 35 - 35 in binary
Solve using Implicit Differentiation showing all steps:
a.) xy^2-y^2=6
b.) x^2 − 2xcosy + y^2 = 3
c.) x = x + y/2y − x
d.) x^2 + 4cos(xy) − y^2 = 8
Thank you!
Convert the following numbers to 8-bit binary and 8-bit
hexadecimal:
a) 20
b) 78
c) -25
d) -96
Convert the following hexadecimal numbers to binary and decimal
assuming two's compliment format:
a) 0x56
b) 0x14
c) 0xF8
d) 0xCC
MUST DO ALL PROBLEMS AND SHOW ALL WORK!!!!
Consider the parabolas y=x^2 and y=a(x-b)^2+c, where a,b,c are
all real numbers
(a) Derive an equation for a line tangent to both of these
parabolas (show all steps with a proof, assuming that such
a line exists)
(b) Assume that the doubly-tangent line has an equation y+Ax+B.
Find an example of values of a,b,c (other than the ones given here)
such that A,B ∈ Z
2,2,4-trimethylpentane
A) one retrosynthetic analysis
B) a reaction scheme showing each of the synthetic steps with
starting materials, products, reagents and conditions
C) a paragraph or so describing the logic of a synthetic
strategy and why it would be the most likely to give
the desired product.
D) References to any sources that were used.