Answer:
110011
Step-by-step explanation:
The tedious way to do this is to divide by 2 until the quotient is 0, noting remainders at each step:
- 51/2 = 25 r 1
- 25/2 = 12 r 1
- 12/2 = 6 r 0
- 6/2 = 3 r 0
- 3/2 = 1 r 1
- 1/2 = 0 r 1
Taken from bottom to top, the list of remainders comprises the binary number: 110011.
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Alternatively, you can convert the number to hexadecimal (base-16) or octal (base-8), then make the simple conversions from those digits to binary. In octal, we have ...
Then the number in octal is 51 = 63₈. Your familiarity with binary lets you write the binary number from memory, since you recall 6 = 110₂ and 3 = 011₂. Each octal digit must be expressed as three binary digits (or bits) in order to maintain appropriate place values.
That is, ...
63₈ = 110011₂
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<em>Comment on octal-binary conversion</em>
The binary values of the digits 0-7 are ...
- 0 = 000₂
- 1 = 001₂
- 2 = 010₂
- 3 = 011₂
- 4 = 110₂
- 5 = 101₂
- 6 = 110₂
- 7 = 111₂
Three binary bits can express numbers 0-7 as shown. So, using octal as an intermediate base in doing the conversion to binary lets you do the conversion 3 bits at a time, instead of one bit at a time.
Likewise, four binary bits can express numbers 0-15, so hexadecimal as an intermediate base lets you do the conversion 4 bits at a time: 51/16 = 3 r 3 ⇒ 0011 0011₂.
3(3y - 1) because 3x3y = 9y and 3x-1 = -3 so in total it is 9y-3
Answer:
$5.08
Step-by-step explanation:
Step one:
given data
We are told that a credit card company applies a 6% fee on all transactions under $10
since the cost of coffee bellow $10 that is $4.80, the 6% fee is applicable
so
=6% of 4.80
=6/100*4.80
=0.06*4.8
=$0.288
Step two:
the total fee will be
=0.288+4.80
= $5.08
To answer this question let's remember the definitions of the mean and the median.
The mean is defined as the sum of all the values is the data set divided by the number of values we have in the data set, that is:
On the other hand, the median is defined as the central number of the data set, that is, it the number that divides the ordered data set in two subsets of equal length.
From this definition we conclude that the mean is more affected by outliers; this comes from the fact that for this central tendency measure we need to add the values and hence the outliers will affect this sum.
1.65X10^-9. Count how many places youd move the decimal. left is positive, right is negative.