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Cycles per Second to Kilohertz Converter

Convert cps to kilohertz with our free online frequency converter.

Quick Answer

1 Cycles per Second = 0.001 kilohertz

Formula: Cycles per Second × conversion factor = Kilohertz

Use the calculator below for instant, accurate conversions.

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All conversion formulas on UnitsConverter.io have been verified against NIST (National Institute of Standards and Technology) guidelines and international SI standards. Our calculations are accurate to 10 decimal places for standard conversions and use arbitrary precision arithmetic for astronomical units.

Last verified: December 2025Reviewed by: Sam Mathew, Software Engineer

Cycles per Second to Kilohertz Calculator

How to Use the Cycles per Second to Kilohertz Calculator:

  1. Enter the value you want to convert in the 'From' field (Cycles per Second).
  2. The converted value in Kilohertz will appear automatically in the 'To' field.
  3. Use the dropdown menus to select different units within the Frequency category.
  4. Click the swap button (⇌) to reverse the conversion direction.
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How to Convert Cycles per Second to Kilohertz: Step-by-Step Guide

Converting Cycles per Second to Kilohertz involves multiplying the value by a specific conversion factor, as shown in the formula below.

Formula:

kHz = cps × 0.001

Example Calculation:

1 cps = 0.001 kHz

Disclaimer: For Reference Only

These conversion results are provided for informational purposes only. While we strive for accuracy, we make no guarantees regarding the precision of these results, especially for conversions involving extremely large or small numbers which may be subject to the inherent limitations of standard computer floating-point arithmetic.

Not for professional use. Results should be verified before use in any critical application. View our Terms of Service for more information.

Need to convert to other frequency units?

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📊 Frequency Table

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📋 Unit Symbols

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What is a Cycles per Second and a Kilohertz?

1 cps = 1 Hz = 1 cycle per second = 1 complete oscillation per second

1 kHz = 1,000 Hz = 1,000 cycles/second = 0.001 MHz

Note: The Cycles per Second is part of the imperial/US customary system, primarily used in the US, UK, and Canada for everyday measurements. The Kilohertz belongs to the imperial/US customary system.

History of the Cycles per Second and Kilohertz

Before 1960: "Cycles per second" was the standard term

  • Common abbreviations: c/s, c.p.s., cps, ~/s

1960: Renamed to "hertz" (Hz)

  • Honors Heinrich Hertz (1857-1894)
  • Adopted at 11th CGPM (General Conference on Weights and Measures)
  • Simplified terminology and standardized notation

Why the change?

  • Shorter, more convenient
  • Honors a pioneering physicist
  • Consistent with other SI units named after scientists (ampere, watt, volt, etc.)
  • International standardization

Common Uses and Applications: cps vs kilohertz

Explore the typical applications for both Cycles per Second (imperial/US) and Kilohertz (imperial/US) to understand their common contexts.

Common Uses for cps

(Historical & Current)

Historical Technical Documents: Pre-1960 radio, electronics, and acoustics literature. Some Fields Still Use "cycles": Audio engineering may say "cycles" colloquially. Education: Teaching frequency concepts before introducing Hz notation. Older Equipment: Vintage test equipment labeled in cps.

When to Use kilohertz

AM Radio: Broadcasts at 530-1700 kHz (medium wave band in Americas). Audio: Upper audio range (treble frequencies 4-20 kHz), high-fidelity music. Ultrasound: Medical imaging and industrial testing (20-100+ kHz). Timing: Watch crystals at 32.768 kHz for digital timekeeping.

Additional Unit Information

About Cycles per Second (cps)

Is cps the same as Hz?

Yes, exactly the same:

  • 1 cps = 1 Hz
  • 1 kilocycles per second (kcps or kc/s) = 1 kHz
  • 1 megacycles per second (Mcps or Mc/s) = 1 MHz

Only difference: Terminology and era

  • cps: Used before 1960
  • Hz: Used from 1960 onwards (current standard)

Example conversions:

  • 60 cps = 60 Hz (AC power)
  • 1000 cps = 1 kHz (audio frequency)
  • 100,000 cps = 100 kHz (AM radio range)

cps to Hz converter →

Why was cps changed to hertz?

Reasons for the 1960 change:

  1. Brevity: "Hz" is shorter than "cycles per second"
  2. Honor: Named after Heinrich Hertz who proved electromagnetic wave existence
  3. Standardization: Consistent with ampere, watt, volt, newton, pascal
  4. International: Single symbol understood globally
  5. Simplicity: Easier for metric prefixes (kHz, MHz, GHz vs kcps, Mcps, Gcps)

The change was purely nomenclature - the measurement itself remained identical.

When do I still see "cycles per second"?

Where you might encounter cps:

Historical documents:

  • Pre-1960 radio manuals
  • Vintage audio equipment
  • Old electrical engineering textbooks

Colloquial use:

  • Audio engineers may say "cycles" informally
  • Explaining frequency concepts to beginners
  • When emphasizing the cyclic nature

Vintage equipment:

  • Old oscilloscopes
  • Antique signal generators
  • Historical test equipment

Recommendation: Use Hz in all modern contexts. Only use cps when discussing historical equipment or documents.

How do I convert kc/s (kilocycles per second) to Hz?

Formula: Hz = kc/s × 1,000

Examples:

  • 1 kc/s = 1,000 Hz = 1 kHz
  • 10 kc/s = 10,000 Hz = 10 kHz
  • 1000 kc/s = 1,000,000 Hz = 1 MHz

Old radio terminology:

  • AM radio: 550-1600 kc/s = 550-1600 kHz
  • Shortwave: 3-30 Mc/s = 3-30 MHz

kHz to Hz converter →

What is Mc/s (megacycles per second)?

Mc/s = Megacycles per second (historical term)

Modern equivalent: MHz (megahertz)

Conversion: 1 Mc/s = 1 MHz = 1,000,000 Hz

Historical usage:

  • FM radio: 88-108 Mc/s → now 88-108 MHz
  • VHF TV: 54-216 Mc/s → now 54-216 MHz
  • Old radio communications

Old abbreviations:

  • Mc/s, Mc, Mcps all meant megacycles per second
  • Now standardized as MHz

MHz to Hz converter →

About Kilohertz (kHz)

How do I convert kHz to Hz?

Formula: Hz = kHz × 1,000

Examples:

  • 1 kHz = 1,000 Hz
  • 20 kHz = 20,000 Hz (upper hearing limit)
  • 1,000 kHz = 1,000,000 Hz = 1 MHz
  • 0.5 kHz = 500 Hz

kHz to Hz converter →

What is 20 kHz?

20 kHz = 20,000 Hz is the upper limit of human hearing for young adults with perfect hearing.

Why 20 kHz matters:

  • CD audio samples at 44.1 kHz to capture up to ~22 kHz
  • Many adults can't hear beyond 15-16 kHz
  • Frequencies above 20 kHz are "ultrasonic"
  • Hi-fi equipment rated to 20 kHz covers full audible range

How do I convert kHz to MHz?

Formula: MHz = kHz ÷ 1,000

Examples:

  • 1,000 kHz = 1 MHz (transition point)
  • 1,500 kHz = 1.5 MHz
  • 100 kHz = 0.1 MHz
  • 540 kHz = 0.54 MHz (low end of AM radio)

kHz to MHz converter →

Why is a watch crystal 32.768 kHz?

32.768 kHz = 2^15 Hz - a power of 2 that's easy to divide electronically.

How it works:

  • Crystal oscillates at 32,768 Hz
  • Divide by 2 fifteen times: 32,768 → 16,384 → ... → 2 → 1
  • Result: exactly 1 Hz (1 tick per second)
  • Simple binary counter circuit needed
  • Low power consumption

This specific frequency became the standard for quartz watches because it's high enough for accurate timekeeping but low enough for minimal power use.

What frequency range is AM radio?

AM Radio Bands:

Medium Wave (MW) - Most common:

  • Americas: 530-1710 kHz
  • International: 531-1602 kHz or 531-1611 kHz
  • Spacing: 10 kHz (Americas), 9 kHz (elsewhere)

Long Wave (LW) - Europe/Asia:

  • 148.5-283.5 kHz (mainly Europe, Africa, parts of Asia)

Short Wave (SW) - International:

  • Various bands from 2.3-26.1 MHz (above kHz range)

AM = Amplitude Modulation; these frequencies carry voice and music by varying signal strength.

Conversion Table: Cycles per Second to Kilohertz

Cycles per Second (cps)Kilohertz (kHz)
0.50.001
10.001
1.50.002
20.002
50.005
100.01
250.025
500.05
1000.1
2500.25
5000.5
1,0001

People Also Ask

How do I convert Cycles per Second to Kilohertz?

To convert Cycles per Second to Kilohertz, enter the value in Cycles per Second in the calculator above. The conversion will happen automatically. Use our free online converter for instant and accurate results. You can also visit our frequency converter page to convert between other units in this category.

Learn more →

What is the conversion factor from Cycles per Second to Kilohertz?

The conversion factor depends on the specific relationship between Cycles per Second and Kilohertz. You can find the exact conversion formula and factor on this page. Our calculator handles all calculations automatically. See the conversion table above for common values.

Can I convert Kilohertz back to Cycles per Second?

Yes! You can easily convert Kilohertz back to Cycles per Second by using the swap button (⇌) in the calculator above, or by visiting our Kilohertz to Cycles per Second converter page. You can also explore other frequency conversions on our category page.

Learn more →

What are common uses for Cycles per Second and Kilohertz?

Cycles per Second and Kilohertz are both standard units used in frequency measurements. They are commonly used in various applications including engineering, construction, cooking, and scientific research. Browse our frequency converter for more conversion options.

For more frequency conversion questions, visit our FAQ page or explore our conversion guides.

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Verified Against Authority Standards

All conversion formulas have been verified against international standards and authoritative sources to ensure maximum accuracy and reliability.

NIST Reference on Constants, Units and Uncertainty

National Institute of Standards and Technology — Fundamental physical constants and unit conversions

BIPM SI Units

Bureau International des Poids et Mesures — International System of Units (SI) definitions and standards

ISO 80000

International Organization for Standardization — Quantities and units international standards series

Last verified: December 3, 2025