beautypg.com

Binary math, Figure a-2 bits and bytes, Figure a-3 binary to decimal conversion – Comtech EF Data SLM-5650A Vipersat User Manual

Page 90

background image

Binary Math

A-4

Vipersat SLM-5650A User Guide

Binary Math

Network devices communicate using BITS, where a bit is a single digit repre-

sented by a 1 or a 0, or by using BYTEs, where a byte is made up of eight bits in

any combination of 1’s or 0’s. A byte is also referred to as an octet.

Figure A-2 Bits and Bytes

An octet can be converted to or from binary using the technique shown in the

decimal conversion chart in Figure A-3. The conversion chart also shows the

decimal equivalent of the binary number.

Figure A-3 Binary to Decimal Conversion

Bits containing a 1 in Figure A-3 determine which decimal values should be

added. These decimal values, when added together, determine the decimal

equivalent for the binary number.
This is an example of changing a number expressed in binary (base 2) to its

decimal equivalent (base 10). The numeric value is the same, you have only

128

64

32

16

8

4

2

1

1

1

0

1

1

0

0

0

1

= 165

1

1

1

0

0

0

0

0

= 194

1

1

1

1

1

1

1

1

=

255

128

32

4

1

_____

165