
Hexadecimal numerals are those with a base of 16 characters. Thus, 16 distinct digits represent the numbers. It's abbreviated as h16, with h denoting a hexadecimal number. It could be a mixture of letters and digits. As a result, it includes the digits 0 - 9 and the letters A - F.
Example: (9B)16, (D5)16, (ABC)16
The base of octal numbers is 8. These numbers have digits ranging from 0 - 7 for a maximum of eight digits and are referred to as the octal number system. The base of octal numbers is 8. It's written as o8, with o being an octal number. It does not represent a number with the digits 8 and 9.
Example: (233)8, (115)8, (75)8
To begin, we must translate hexadecimal to its decimal counterpart, then decimal to octal. Follow the steps given below:
Another method for converting any hexadecimal to its octal counterpart exists. We know that hexadecimal numbers contain binary digits, so we can group them into a pair and compare them to octal numbers. Let's take a look at the method with several examples and steps:
Let us see an example here:
Example: Convert ACB into an octal number.
Solution: Given, ACB is a hexadecimal number.
A → 1010, C →1100, B → 1011
Next, arrange them from right to left, each with three digits.
101, 011, 001, 011
101→5, 011 →3, 001→1, 011→3
Hence, ACB = 5313
| Hexadecimal | Octal | Equivalent Decimal | Equivalent Binary |
| 0 | 0 | 0 | 0 |
| 1 | 1 | 1 | 1 |
| 2 | 2 | 2 | 10 |
| 3 | 3 | 3 | 11 |
| 4 | 4 | 4 | 100 |
| 5 | 5 | 5 | 101 |
| 6 | 6 | 6 | 110 |
| 7 | 7 | 7 | 111 |
| 8 | 10 | 8 | 1000 |
| 9 | 11 | 9 | 1001 |
| A | 12 | 10 | 1010 |
| B | 13 | 11 | 1011 |
| C | 14 | 12 | 1100 |
| D | 15 | 13 | 1101 |
| E | 16 | 14 | 1110 |
| F | 17 | 15 | 1111 |
Example: Find the equivalent octal form of 56E.
Solution:
Given, a hexadecimal number is 56E
E = 14 (in decimal)
56E = (5 × 162) + (6 × 161) + (14 x 160)
= (5 x 256) + (6 x 16) + (14 x 1)
=1280 + 96 + 14 = 1390
56E =1390 (Decimal form)
Now we have to convert this decimal to octal number;
The octal number is 2556
Hence, 56E = 2556
JEE Main marks vs rank vs percentile
JEE Advanced Eligibility Criteria
JEE Advanced Chemistry Syllabus
JEE Advanced Registration Dates
Derivation Of Lens Maker Formula
Unit Of Pressure Velocity Uses of Plane Mirror
Wave Theory of Light
Unit of Density Unit of Light Unit of Force Unit of Magnetic Field Unit of wavelength Unit of Viscosity Uses of Electroplating Young's Modulus
What is the Scattering of Light
Lenz Law Space Wave Propagation Schrodinger Wave Equation Relation between Fahrenheit and Celsius Refractive Index Potentiometer Working Pascal Law Oscillatory Motion Optical Instruments Newton's Laws of Motion - First Law Modulation and Demodulation Magnetic Flux Lens Formula and Magnification Kaleidoscope Faradays Law Epsilon Naught Value Energy Bands Electrostatics Electroscope AC Generator Unit of Current Lithosphere Bending Equation Derivation Difference Between Pound and Kilogram Semiconductor Devices OTEC - Ocean Thermal Energy Conversion Hall Effect Rectilinear Propagation of Light Difference Between Ammeter and Voltmeter Coefficient of Linear Expansion Ampere’s Law Cyclone and Thunderstorm Save The Environment From Pollution Particle Nature of Light Types of DC Motor Uses Of Transistor Derivation of Phase Rule Unit of Humidity