Calculate bits per second, bits per cycle, or frequency in Hz by selecting the quantity to solve and entering the two known values in this bits per second to hertz calculator.

Divide bit rate by the known number of transferred bits per clock or transfer cycle.

Use the same cycle and payload/overhead definition as the bit rate. An average may be fractional.

Bits Per Second To Hertz Formula

The following formula is used to calculate the frequency in hertz for a given bits per second and bits per cycle.

f = (bps) / (bpc)

Variables:

  • f is the frequency in hertz
  • bps is the bits per second
  • bpc is the bits per cycle

To calculate the frequency in hertz, divide the bits per second by the bits per cycle.

Bits Per Second to Hertz Conversion Table (Assumes 1 bit per cycle)
Bits Per Second (bps) Hertz (Hz)
11
1010
100100
300300
600600
1,2001,200
2,4002,400
4,8004,800
9,6009,600
14,40014,400
19,20019,200
28,80028,800
33,60033,600
56,00056,000
64,00064,000
128,000128,000
256,000256,000
512,000512,000
1,000,0001,000,000
10,000,00010,000,000
*Assumes one transferred bit per cycle, so the numerical values match. Bit/s and Hz are different quantities. Divide by bits per transfer cycle to find cycle frequency; divide by bits per modulation symbol to find baud, not RF carrier frequency.

What is Bits Per Second To Hertz?

For a known transfer cycle, bit rate equals bits transferred per cycle multiplied by cycles per second. This calculates a clock or transfer-cycle frequency, not a radio carrier frequency or occupied bandwidth. If the denominator is bits per modulation symbol, the quotient is symbol rate in baud. Use the same payload and overhead definitions for all inputs.

How to Calculate Bits Per Second To Hertz?

The following steps outline how to calculate the frequency in hertz from bits per second and bits per cycle.


  1. First, determine the bits per second (bps).
  2. Next, determine the bits per cycle (bpc).
  3. Finally, calculate the frequency using the formula f = bps / bpc.
  4. After inserting the values and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Bits per second (bps) = 1000

Bits per cycle (bpc) = 10

Using the formula, the frequency (f) is calculated as follows:

f = (1000) / (10) = 100 Hz