Solving Logarithms using the Change of Base
Formula
Use the change of base formula to rewrite the
logarithm using base 10 logarithms. Then use your calculator to
evaluate the logarithm. Round your result to three decimal
places.
Logarithmic Function
Rewritten using the change of base formula
Evaluated using the calculator
f(x)=log2(x)f(x)=log2(x)
f(8)=log2(8)=log(8)log(2)f(8)=log2(8)=log(8)log(2)
f(8)=3f(8)=3
h(x)=log8(x)h(x)=log8(x)
h(23)=h(23)=
=
h(23)=h(23)=
p(t)=15log9(t)p(t)=15log9(t)
p(158)=p(158)=
=
p(158)=p(158)=
f(x)=18+log4(x)f(x)=18+log4(x)
f(151)=f(151)=
=
f(151)=f(151)=
Convert 101 from base-2 number system to base-10 number
system
Convert 101 from base-2 number system to base-16 number
system
Convert 100 from base-10 number system to base-2 number
system
Convert 100 from base-10 number system to base-16 number
system
Convert ef from base-16 number system to base-2 number
system
Convert ef from base-16 number system to base-10 number
system
convert the binary number(base 2) To Octal (base 8) to
decimal (base 10)
a. 101
b. 1001
c. 101010
d.1101101
convert the number to the other base
a. 253 base 10 to base 8
b. 98 base 10 to base 3
C. 1340 base 10 to base 16
D. AB Base 16 to base 8
E. 111010 base 2 to base 16
F. 1010101 base 2 to base 6
g. 69 base 10 to base 2
h . 1023 base...
Write a Java program named BinaryConversion that will convert
base 2 numbers to base 10 numbers.
The data for this program will be entered from the keyboard
using JOptionPane one 16-bit binary number at a time. Note that
each base 2 number is actually read in as a String. The program
should continue until a 16-bit base 2 number consisting of all 0’s
is entered.
Once the 16-bit number has been entered your program should make
sure that the input...
1. Explain how to convert positive integers from base 3 to base
10 and vice versa. Include examples.
2. Explain how to convert fractions from base 3 to base 10 and
vice versa. Include examples.
1a. Convert 67 (base 10) to 8-bit binary using signed magnitude.
Show your work.
1b. Convert 69 (base 10) to 8-bit binary using one’s complement.
Show your work
1c. Convert 70 (base 10) to 8-bit binary using two’s complement.
Show your work.
1d. Convert - 67 (base 10) to 8-bit binary using signed
magnitude.
1e. Convert - 67 (base 10) to 8-bit binary using ones
compliment. Show your work.
1f. Convert - 67 (base 10) to 8-bit binary using 2s...