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Kilohertz to Cycles per Second Converter

Convert kilohertz to cps with our free online frequency converter.

Quick Answer

1 Kilohertz = 1000 cps

Formula: Kilohertz × conversion factor = Cycles per Second

Use the calculator below for instant, accurate conversions.

Our Accuracy Guarantee

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: February 2026Reviewed by: Sam Mathew, Software Engineer

Kilohertz to Cycles per Second Calculator

How to Use the Kilohertz to Cycles per Second Calculator:

  1. Enter the value you want to convert in the 'From' field (Kilohertz).
  2. The converted value in Cycles per Second 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 Kilohertz to Cycles per Second: Step-by-Step Guide

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

Formula:

cps = kHz × 1000

Example Calculation:

1 kHz = 1000 cps

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

Copy kHz & cps symbols

What is a Kilohertz and a Cycles per Second?

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

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

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

History of the Kilohertz and Cycles per Second

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: kilohertz vs cps

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

Common Uses for 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.

When to Use cps

(Historical & Current)

Historical Technical Documents: Pre-1960 radio, electronics, and acoustics literature - understanding older specs. 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. Legacy Systems: Industrial control systems that predate 1960 standardization.

Additional Unit Information

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: Kilohertz to Cycles per Second

Kilohertz (kHz)Cycles per Second (cps)
0.5500
11,000
1.51,500
22,000
55,000
1010,000
2525,000
5050,000
100100,000
250250,000
500500,000
1,0001,000,000

People Also Ask

How do I convert Kilohertz to Cycles per Second?

To convert Kilohertz to Cycles per Second, enter the value in Kilohertz 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 Kilohertz to Cycles per Second?

The conversion factor depends on the specific relationship between Kilohertz and Cycles per Second. 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 Cycles per Second back to Kilohertz?

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

Learn more →

What are common uses for Kilohertz and Cycles per Second?

Kilohertz and Cycles per Second 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.

Helpful Conversion Guides

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📚 How to Convert Units

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🔢 Conversion Formulas

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All Frequency Conversions

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Other Frequency Units and Conversions

Explore other frequency units and their conversion options:

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: February 19, 2026