BACK II BASE X

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BACK II BASE X

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Convert Hz to bits.

This assuming that 1 Hz is the completion of  1 cycle per second (cps) toggled between two states , on and off, 0 and 1.

10

1Hz

A rule that is bent. One we need to remember since 0 and 1 hold the same place in that bit, and in that byte; and the cycle we refer to as Hz is not complete until it is turned on:

00000000

00000001

Or from the on position, off.

00000001

00000000

on...

01111111

or off-

1000000

on...

01111111

or off.

11111110

It makes sense to overemphasize the obvious here that each place is twice 1 and 0/1 i.e. 0 divided by 1 or 0 parted (partitioned) in which case 2 is a quantity appearing to be drawn by half  its value. This again is all the fault of mis-education. Not that we intend to change the way numbers work more than correct the way our perception of number assigns value- why our curriculum requires binary math. To develop an awareness that, as there are many systems of language, there are also many systems of  mathematical logic, i.e. base numerical systems. Binary doesn’t necessarily change the way decimals work, but does offer us another way of using them. Hence the difference between “ten” and “one-0” is not an apparent convention until we choose to actively adapt and incorporate it into our description of the World.

It is not so much as though we are splitting a frequency in two. That is something else entirely yet in the same way it is not, since half a tone is the same note an octave higher or lower. The duration of the tone is not relevant. It is only important to realize that the duration of any tone is paired by an equal duration of silence. As long as 1Hz = 1 cycle per second we may adapt the convention of defining a cycle as having a constant 1:1 ratio of sound and silence. If the sound is 2 cps in duration then it must be assumed that the tone has toggled ON OFF 2x in that amount of time.

1010

2Hz

0000 0010

101010

3Hz

0000 0011 

We may use the shorthand to illustrate the division by integer remainder DBIR*,

by partitioning 0

Solve for at least two states

on and off.

0 = 2

The first division of integer is by 1 = 2

The second 2 = 3

The third 3 = 4, and so on...

In the case of the Middle C:4 note [261.24] what we are hearing is twice C:3 [130.62]

In other words, twice as many cps.

This only tells us that a byte, from

Is 2x 16.3275 Hz per bit.

8/130.62

Each bit in a byte = 32.655 Hz

8/261.24

Base X

is not a stranger to us anymore.

We've found our way back home

One bit at a time.