BUSINESS DATA COMMUNICATIONS AND NETWORK
BUSINESS DATA COMMUNICATIONS AND NETWORK
13th Edition
ISBN: 9781119441113
Author: FITZGERALD
Publisher: amazon.com
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Chapter 5, Problem 1P1HA3

Explanation of Solution

Conversion of Binary Number to Decimal Value:

Consider the table given below,

Binary Position2726252423222120
Decimal Value1286432168421

The above table helps to convert each binary number to decimal value.

Given:

(11011011)2 = ?

Solution:

11011011 = (1*128) + (1*64) + (0*32) + (1*16) + (1*8) + (0*4) + (1*2) + (1*1)

                = 128 + 64 +16 +8 +2 +1

                = 219

Answer:

Hence, the decimal value of (11011011)2= (219)10

Given:

(01111111)2 = ?

Solution:

01111111 = (0*128) + (1*64) + (1*32) + (1*16) + (1*8) + (1*4) + (1*2) + (1*1)

                = 64 + 32 +16 +8 + 4+ 2 +1

                = 127

Answer:

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