Electronics · Free Calculator
Binary, Decimal, Hex and Octal Converter
Convert a number between binary, decimal, hexadecimal and octal. Also shows the signed 16 bit value used in PLC and Modbus registers.
BinaryHexadecimalOctalSigned 16 bit
Decimal200
HexadecimalC8
Binary1100 1000
Octal310
Bits needed8
As signed 16 bit (INT)200
How this result was calculated
- Read 200 in base 10 = 200 in decimal, then divide repeatedly by 2, 8 and 16 to get the other bases.
Advertisement
How Number Bases Work
Value = Σ digit × baseposition
1 hex digit = 4 binary bits, 1 octal digit = 3 bits
1 hex digit = 4 binary bits, 1 octal digit = 3 bits
A signed 16 bit integer (INT) uses two's complement: values above 32767 represent negative numbers, value − 65536.
Worked example
200 decimal = C8 hex = 1100 1000 binary = 310 octal. Hex FF9C read as a signed 16 bit register is −100.
Key insight: when a Modbus register shows 65,436 instead of −100, the value is being read as unsigned; change the data type to INT rather than recalculating.
Advertisement
Frequently Asked Questions
How do I convert binary to hex?
Group the binary digits in fours from the right and replace each group with one hex digit. 1100 1000 = C8.
What is FF in decimal?
255.
Why do PLCs show negative numbers as large values?
A signed value read as unsigned shows two's complement directly. Subtract 65,536 to get the signed value of a 16 bit register.
You May Also Like
Learn more on the blog
Introduction to number systems
A practical, field focused guide on instrumentationblog.in that explains the theory behind this calculator and how engineers apply it on real plants.
Read Full ArticleMore Electronics Calculators
SMD Resistor Code Calculator3 digit (472), 4 digit (1002)Capacitor Code Calculator3 digit code, Tolerance letterStandard Resistor Values Calculator (E Series)E6 and E12, E24 (5 %)Inductors in Series and Parallel CalculatorSeries, ParallelAir Core Coil Inductance CalculatorWheeler formula, Single layer coilResistor Power Rating CalculatorP = V²/R, P = I²RCurrent Divider CalculatorTwo or three branches, Branch currentWheatstone Bridge CalculatorBalance condition, Output voltageRC and RL Filter Cutoff Frequency CalculatorLow pass, High passRLC Circuit Impedance CalculatorSeries RLC, Parallel RLCLED Series and Parallel Array CalculatorLEDs per string, String resistorTransistor Base Resistor CalculatorBJT switch, SaturationInverting Op Amp Amplifier CalculatorGain = −Rf/Rin, Output voltageNon Inverting Op Amp Amplifier CalculatorGain = 1 + Rf/Rg, Output voltageOp Amp Differential Amplifier CalculatorVout = (R2/R1)(V2 − V1), Four resistorsOp Amp Summing Amplifier CalculatorOp amp adder, Weighted sumInstrumentation Amplifier Gain Resistor CalculatorAD620, AD8221, INA128, INA333Op Amp Gain Bandwidth and Slew Rate CalculatorGBW ÷ gain, Slew rate555 Timer Astable CalculatorFrequency, Duty cycle555 Timer Monostable Calculatort = 1.1 RC, One shotCrystal Load Capacitor CalculatorC1 = C2, Load capacitanceFrequency to Period CalculatorHz to seconds, Period to HzPWM Duty Cycle CalculatorDuty cycle %, Average voltageLM317 Voltage Regulator CalculatorVout = 1.25(1 + R2/R1), R2 for targetZener Diode Series Resistor CalculatorSeries resistor, Zener powerLinear Regulator Power Dissipation CalculatorPower dissipation, Junction temperatureHeat Sink Thermal Resistance CalculatorθSA in °C/W, Junction temperatureBuck Converter CalculatorDuty cycle, Inductor valueBoost Converter CalculatorDuty cycle, Inductor valueRectifier Filter Capacitor CalculatorSmoothing capacitor, Ripple voltagePCB Trace Width Calculator (IPC 2221)IPC 2221, External and internalPCB Trace Resistance CalculatorCopper resistance, Voltage dropBattery Life Calculator for Electronic DevicesmAh capacity, Sleep currentdBm to Watts CalculatordBm to mW, Watts to dBmResistor Color Code Calculator4 band, 5 bandLED Resistor CalculatorSingle LEDVoltage Divider CalculatorOutput and resistor valuesResistors in Series and ParallelTotal resistanceOhm's Law CalculatorV, I, R and PRC Time Constant CalculatorCharge and dischargeReactance CalculatorXL and XCLC Resonant Frequency CalculatorTank circuitsCapacitors in Series and ParallelTotal capacitanceCapacitor Energy CalculatorJoules and chargeDecibel CalculatorPower and voltage ratiosADC Resolution CalculatorBits and LSB size
More Calculator Categories
Temperature Measurement15 live toolsInstrumentation Signal4 live toolsPLC Digital Signal3 live toolsFlow Measurement19 live toolsLevel Measurement12 live toolsPressure Measurement13 live toolsControl Valve12 live toolsCalibration10 live toolsSafety and SIL7 live toolsAnalytical8 live toolsElectrical37 live toolsUnit Converters76 converters, 700+ units