How do you convert Bit to Byte?

Multiply the value in Bit by the conversion factor 0.125 to obtain the result in Byte.

Convert Bit to Byte (bit to B)

Reference ID: EC-DIGI-BIB | EngConverter Calculation Guide

Convert From (Bit):

bit

Result To (Byte):

Copied to clipboard!

In digital information theory and industrial process control, the bit (symbol: bit or b) represents the basic atomic unit of digital data, derived from a binary digit that holds a value of either 0 or 1. Introduced formally by Claude Shannon in 1948, the bit forms the foundation of binary computing. The Byte (symbol: B) was coined by Werner Buchholz in 1956 during the design of the IBM Stretch computer and was later standardized as an 8-bit sequence (historically referred to as an octet). Standardized under ISO/IEC 80000-13 and IEEE 1541, the exact conversion relationship is defined as:

$ 1 \text{ Byte (B)} = 8 \text{ bits (bit)} \implies 1 \text{ bit} = 0.125 \text{ Bytes (B)} $

Engineering Applications & Technical Considerations

In modern industrial automation, process control systems, and telemetry architecture, understanding the distinction between bits and Bytes is essential for system network design, programmable logic controller (PLC) register allocation, and historian database sizing. Communication protocols measure data transmission bandwidth in bits per second (e.g., Mbps), whereas storage infrastructure measures logging capacity in Bytes (e.g., MB or GB).

SCADA & Telemetry Bandwidth Sizing: Fieldbus protocols (such as Modbus RTU, Profibus, and EtherNet/IP) transmit individual discrete I/O state flags as bits. However, network interfaces packetize these bits into byte-aligned frames. To estimate required network throughput $ R_{\text{byte}} $ from a polling array of discrete bits $ N_{\text{bits}} $ at sampling frequency $ f_s $, control engineers apply: $ R_{\text{byte}} = \frac{N_{\text{bits}} \cdot f_s}{8} $
PLC & DCS Memory Mapping: Modern controllers utilize 16-bit registers (Words) or 32-bit registers (Double Words). Unused bit flags within a byte-aligned structure cause padding overhead. Engineers must align boolean variables to byte or word boundaries to prevent memory fragmentation and inefficient memory bus transfers.
Transmission Overhead vs. Payload Storage: Serial communication protocols (RS-485, UART) use start, stop, and parity bits. A standard 8-N-1 serial frame transmits 8 data bits wrapped in 10 physical bits, meaning physical bit rate requirements exceed payload byte conversion calculations by 25%.
Historian Ingestion Sizing: Converting continuous sensor telemetry (e.g., 16-bit analog-to-digital converter readings) into long-term process historian storage calculations requires scaling bit resolution directly to byte capacity.

Bit to Byte Conversion Reference Table

Bit (bit)	Byte (B)
0.1	0.0125
0.5	0.0625
1.0	0.125
2.0	0.25
5.0	0.625
10.0	1.25
20.0	2.5
50.0	6.25
100.0	12.5
500.0	62.5
1000.0	125

To convert a transmission burst of 10 bits into Bytes, apply the standard conversion factor where $ 1 \text{ bit} = 0.125 \text{ Bytes} $:

$$ 10 \text{ bit} \times 0.125 \frac{\text{B}}{\text{bit}} = 1.25 \text{ B} $$

Therefore, a 10-bit dataset corresponds to exactly 1.25 Bytes (or 1 Byte and 2 remaining bits in hardware data structures).

Network hardware operates at the physical layer, transmitting data serially as individual electrical pulses or optical signals (bits). Database storage systems, however, operate at the system architecture level, where CPU registers and storage buses process data in byte-aligned blocks (typically 8, 32, or 64 bits). When sizing SCADA historian disk arrays for a telemetry stream rated in bps, engineers must divide the bitrate by 8 (and account for protocol framing overheads) to determine actual storage consumption in Bytes per second.

Industrial protocols often mandate that bit-level discrete inputs be packed into byte or word boundaries for transmission efficiency. For example, transferring 10 discrete boolean inputs over Modbus RTU requires 2 full Bytes (16 bits) of payload frame space because data registers are byte-padded. Therefore, raw mathematical conversion (10 bits = 1.25 Bytes) must be rounded up to the nearest protocol byte boundary (2 Bytes) when calculating actual network memory overhead.

"On fait la science avec des faits, comme on fait une maison avec des pierres ; mais une accumulation de faits n'est pas plus une science qu'un tas de pierres n'est une maison."
"Science is built up of facts, as a house is built of stones; but an accumulation of facts is no more a science than a heap of stones is a house."
— Henri Poincaré (French Mathematician, Theoretical Physicist & Mining Engineer)